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10/16/2010




                                          Aggregate Planning                                                                    Outline
        13                                                                                   Global Company Profile: Frito-Lay
                                                                                             The Planning Process
                                                                                                       Planning Horizons
       PowerPoint presentation to accompany                                                  The Nature of Aggregate Planning
       Heizer and Render
       Operations Management, 10e                                                            Aggregate Planning Strategies
       Principles of Operations Management, 8e

       PowerPoint slides by Jeff Heyl
                                                                                                       Capacity Options
                                                                                                       Demand Options
                                                                                                       Mixing Options to Develop a Plan
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                          Outline – Continued                                                       Outline – Continued
                                                                                            Aggregate Planning in Services
                   Methods for Aggregate Planning
                                                                                                      Restaurants
                              Graphical Methods
                                                                                                      Hospitals
                              Mathematical Approaches
                                                                                                      National Chains of Small Service
                              Comparison of Aggregate Planning                                        Firms
                              Methods
                                                                                                      Miscellaneous Services
                                                                                                      Airline Industry
                                                                                            Yield Management
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                          Learning Objectives                                                       Learning Objectives
       When you complete this chapter you                                        When you complete this chapter you
       should be able to:                                                        should be able to:

                1. Define aggregate planning                                              4. Solve an aggregate plan via the
                                                                                             transportation method of linear
                2. Identify optional strategies for
                                                                                             programming
                   developing an aggregate plan
                                                                                          5. Understand and solve a yield
                3. Prepare a graphical aggregate plan
                                                                                             management problem



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                                                  Frito-
                                                  Frito-Lay                                                               Frito-
                                                                                                                          Frito-Lay
                   More than three dozen brands, 15                                        Demand profile based on historical
                   brands sell more than $100 million                                      sales, forecasts, innovations,
                   annually, 7 sell over $1 billion                                        promotion, local demand data
                   Planning processes covers 3 to 18                                       Match total demand to capacity,
                   months                                                                  expansion plans, and costs
                   Unique processes and specially                                          Quarterly aggregate plan goes to 38
                   designed equipment                                                      plants in 18 regions
                   High fixed costs require high volumes                                   Each plant develops 4-week plan for
                   and high utilization                                                    product lines and production runs

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                          Aggregate Planning                                                  The Planning Process
                                                                                   Determine the quantity and timing of
                                                                                   production for the intermediate future
            The objective of aggregate planning
            is to meet forecasted demand while                                               Objective is to minimize cost over the
             minimizing cost over the planning
                       g              p      g                                               planning period by adjusting
                           period                                                                      Production rates
                                                                                                       Labor levels
                                                                                                       Inventory levels
                                                                                                       Overtime work
                                                                                                       Subcontracting rates
                                                                                                       Other controllable variables
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                          Aggregate Planning                                                         Planning Horizons
                                                                                                                               Long-range plans
      Required for aggregate planning                                                                                          (over one year)
                                                                                                                               Research and Development
                                                                                                                               New product plans
                                                                                                                               Capital investments
                                                                                                                               Facility location/expansion
                 A logical overall unit for measuring sales
                                                                                                        Top
                 and output                                                                             executives             Intermediate-range plans
                                                                                                                               (3 to 18 months)
                 A forecast of demand for an intermediate                                                                      Sales planning
                                                                                                                               Production planning and budgeting
                 planning period in these aggregate terms                                           Operations
                                                                                                    managers
                                                                                                                               Setting employment, inventory,
                                                                                                                                 subcontracting levels
                                                                                                                               Analyzing operating plans
                 A method for determining costs                                                                                Short-range plans
                                                                                                                               (up to 3 months)
                 A model that combines forecasts and                                                                           Job assignments
                                                                                                                               Ordering
                                                                                              Operations
                 costs so that scheduling decisions can                                       managers,                        Job scheduling
                                                                                                                               Dispatching
                                                                                              supervisors,
                 be made for the planning period                                              foremen                          Overtime
                                                                                                                               Part-time help

                                                                                              Responsibility                Planning tasks and horizon             Figure 13.1
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                          Aggregate Planning                                            Aggregate
                                                                                         Planning
                                 Quarter 1
               Jan                  Feb                    Mar
             150,000              120,000                110,000

                                 Quarter 2
               Apr                  May                    Jun
             100,000              130,000                150,000

                                 Quarter 3
               Jul                 Aug                     Sep
             180,000              150,000                140,000
                                                                                    Figure 13.2

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                          Aggregate Planning                                                           Aggregate Planning
                                                                                                           Strategies
                Combines appropriate resources                                       1. Use inventories to absorb changes in
                into general terms                                                      demand
                                                                                     2. Accommodate changes by varying
                Part of a larger production planning                                    workforce size
                system
                   t
                                                                                     3. Use part-timers, overtime, or idle time to
                Disaggregation breaks the plan                                          absorb changes
                down into greater detail                                             4. Use subcontractors and maintain a
                                                                                        stable workforce
                Disaggregation results in a master
                production schedule                                                  5. Change prices or other factors to
                                                                                        influence demand
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                                Capacity Options                                                             Capacity Options
                     Changing inventory levels
                                                                                                  Varying workforce size by hiring
                               Increase inventory in low demand                                   or layoffs
                               periods to meet high demand in
                               the future                                                                   Match production rate to demand
                               Increases costs associated with                                              Training d
                                                                                                            T i i and separation costs for
                                                                                                                                 ti     t f
                               storage, insurance, handling,                                                hiring and laying off workers
                               obsolescence, and capital                                                    New workers may have lower
                               investment                                                                   productivity
                               Shortages may mean lost sales                                                Laying off workers may lower
                               due to long lead times and poor                                              morale and productivity
                               customer service
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                                Capacity Options                                                               Capacity Options
                     Varying production rate through                                                Subcontracting
                     overtime or idle time                                                                    Temporary measure during
                               Allows constant workforce                                                      periods of peak demand
                               May be diffi lt t
                               M b difficult to meet large
                                                   tl                                                         May be costly
                               increases in demand                                                            Assuring quality and timely
                               Overtime can be costly and may                                                 delivery may be difficult
                               drive down productivity                                                        Exposes your customers to a
                               Absorbing idle time may be                                                     possible competitor
                               difficult

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                                Capacity Options                                                                Demand Options
                                                                                             Influencing demand
                     Using part-time workers
                                                                                                       Use advertising or promotion
                               Useful for filling unskilled or low                                     to increase demand in low
                               skilled positions, especially in                                        periods
                               services
                                                                                                       Attempt to shift
                                                                                                       demand to slow
                                                                                                       periods
                                                                                                       May not be
                                                                                                       sufficient to
                                                                                                       balance demand
                                                                                                       and capacity
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                                 Demand Options                                                                 Demand Options
                     Back ordering during high-                                                     Counterseasonal product and
                     demand periods                                                                 service mixing
                               Requires customers to wait for an                                              Develop a product mix of
                               order without loss of goodwill or                                              counterseasonal items
                               the order                                                                      May lead to products or services
                               Most effective when there are few                                              outside the company’s areas of
                               if any substitutes for the product                                             expertise
                               or service
                               Often results in lost sales

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        Aggregate Planning Options                                                                                      Aggregate Planning Options
             Option                   Advantages              Disadvantages      Some Comments                               Option                   Advantages              Disadvantages       Some Comments
       Changing                   Changes in       Inventory                     Applies mainly to                     Varying                    Matches                    Overtime             Allows flexibility
        inventory                  human            holding cost                  production, not                       production                 seasonal                   premiums; tired      within the
        levels                     resources are    may increase.                 service,                              rates                      fluctuations               workers; may         aggregate plan.
                                   gradual or       Shortages may                 operations.                           through                    without hiring/            not meet
                                   none; no abrupt result in lost                                                       overtime or                training costs.
                                                                                                                                                          g                   demand.
                                   production       sales.                                                              idle time
                                   changes.
                                                                                                                       Sub-                       Permits                    Loss of quality      Applies mainly in
       Varying                    Avoids the costs Hiring, layoff,               Used where size                        contracting                flexibility and            control;             production
        workforce                  of other         and training                  of labor pool is                                                 smoothing of               reduced profits;     settings.
        size by                    alternatives.    costs may be                  large.                                                           the firm’s                 loss of future
        hiring or                                   significant.                                                                                   output.                    business.
        layoffs



                                                                                         Table 13.1                                                                                                        Table 13.1
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        Aggregate Planning Options                                                                                      Aggregate Planning Options
             Option                   Advantages              Disadvantages      Some Comments                               Option                   Advantages              Disadvantages       Some Comments
       Using part-                Is less costly             High turnover/      Good for                              Back                       May avoid                  Customer must        Many companies
        time                       and more                   training costs;     unskilled jobs in                     ordering                   overtime.                  be willing to        back order.
        workers                    flexible than              quality suffers;    areas with large                      during                     Keeps capacity             wait, but
                                   full-time                  scheduling          temporary labor                       high-                      constant.                  goodwill is lost.
                                   workers.                   difficult.          pools.                                demand
                                                                                                                        periods
       Influencing                Tries to use    Uncertainty in                 Creates
        demand                     excess          demand. Hard                   marketing                            Counter-                   Fully utilizes             May require          Risky finding
                                   capacity.       to match                       ideas.                                seasonal                   resources;                 skills or            products or
                                   Discounts draw demand to                       Overbooking                           product                    allows stable              equipment            services with
                                   new customers. supply exactly.                 used in some                          and service                workforce.                 outside the          opposite
                                                                                  businesses.                           mixing                                                firm’s areas of      demand
                                                                                                                                                                              expertise.           patterns.



                                                                                         Table 13.1                                                                                                        Table 13.1
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                   Methods for Aggregate                                                                                                       Mixing Options to
                         Planning                                                                                                               Develop a Plan

                  A mixed strategy may be the best                                                                                Chase strategy
                  way to achieve minimum costs                                                                                              Match output rates to demand
                                                                                                                                            forecast for eac pe od
                                                                                                                                             o ecast o each period
                  There are many possible mixed
                  Th                 ibl   i d
                  strategies                                                                                                                Vary workforce levels or vary
                                                                                                                                            production rate
                  Finding the optimal plan is not                                                                                           Favored by many service
                  always possible                                                                                                           organizations


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                                                     Mixing Options to
                                                      Develop a Plan                                                                                Graphical Methods
                                           Level strategy                                                                                  Popular techniques
                                                     Daily production is uniform
                                                                                                                                           Easy to understand and use
                                                     Use inventory or idle time as buffer
                                                                                                                                           Trial-and-error approaches that do
                                                     Stable production leads to better                                                     not guarantee an optimal solution
                                                     quality and productivity
                                                                                                                                           Require only limited computations
                                           Some combination of capacity
                                           options, a mixed strategy, might be
                                           the best solution
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                                                     Graphical Methods                                                                Roofing Supplier Example 1
                                                                                                                                                                                     Production       Demand Per Day
                 1. Determine the demand for each period                                                                           Month               Expected Demand                  Days            (computed)
                                                                                                                                    Jan                       900                        22                 41
                 2. Determine the capacity for regular time,                                                                          Feb                            700                  18               39
                    overtime, and subcontracting each period                                                                         Mar                             800                  21               38
                 3.
                 3 Find labor costs, hiring and layoff costs
                              costs                    costs,                                                                         Apr
                                                                                                                                       p                          1,200
                                                                                                                                                                   ,                      21               57
                                                                                                                                     May                          1,500                   22               68
                    and inventory holding costs
                                                                                                                                     June                         1,100                   20               55
                 4. Consider company policy on workers and                                                                                                        6,200                  124
                    stock levels                                                                                                                                                                             Table 13.2
                                                                                                                                           Average      Total expected demand
                 5. Develop alternative plans and examine                                                                                requirement = Number of production days
                    their total costs                                                                                                                                      6,200
                                                                                                                                                                     =           = 50 units per day
                                                                                                                                                                            124
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                                         Roofing Supplier Example 1                                                                   Roofing Supplier Example 2
                                                                                Forecast demand
                                                                                                                               Cost Information
      Production rate per working day




                                        70 –                                                                                   Inventory carrying cost                                     $ 5 per unit per month
                                               Level production using average
                                                 monthly forecast demand                                                       Subcontracting cost per unit                                $20 per unit
                                        60 –
                                                                                                                               Average pay rate                                            $10 per hour ($80 per day)
                                        50 –                                                                                                                                               $17 per hour
                                                                                                                                                                                               p
                                                                                                                               Overtime pay rate
                    e




                                                                                                                                                                                             (above 8 hours per day)
                                        40 –                                                                                                                                               1.6 hours per unit
                                                                                                                               Labor-hours to produce a unit
                                        30 –                                                                                   Cost of increasing daily production rate                    $300 per unit
                                                                                                                                (hiring and training)
                                                                                                                               Cost of decreasing daily production rate                    $600 per unit
                                        0 –                                                                                     (layoffs)
                                               Jan      Feb       Mar     Apr        May    June   = Month
                                                                                                                               Table 13.3
                                                22       18       21       21        22      20    = Number of
Figure 13.3                                                                                          working days
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                                          Roofing Supplier Example 2                                                                                                     Roofing Supplier Example 2
                                              Production                                                            Monthly                                                             Production                Monthly
                        Cost Information
                                Production    at 50 Units                                                Demand Inventory        Ending                           Costs Production
                                                                                                                                                                  Cost Information      at 50 Units      Calculations
                                                                                                                                                                                                      Demand Inventory        Ending
                         Month      Days cost per Day
                        Inventory carrying                                                                     $ 5 Change
                                                                                                         Forecast per unit per month
                                                                                                                                Inventory                          Month       Days cost per Day
                                                                                                                                                                  Inventory carrying
                                                                                                                                                                  Inventory carrying            $9,250 (= 1,850Change
                                                                                                                                                                                                      Forecast per unit per month $5
                                                                                                                                                                                                            $5               Inventory
                                                                                                                                                                                                                  units carried x
                        Subcontracting cost per unit 1,100
                          Jan        22                                                                      900 per +200
                                                                                                               $20    unit          200                           Subcontracting cost per unit 1,100
                                                                                                                                                                    Jan         22                        per unit) +200
                                                                                                                                                                                                          900 per unit
                                                                                                                                                                                                            $20                  200
                          Feb        18                900                                                   700 per +200 ($80 per400
                                                                                                               $10    hour           day)                           Feb         18
                                                                                                                                                                  Regular-time labor             900      700 per +200 ($80 per400
                                                                                                                                                                                                99,200 (= 10 workers x $80 per
                                                                                                                                                                                                            $10     hour          day)
                        Average pay rate                                                                                                                          Average pay rate
                          Mar        21              1,050                                                   800      +250          650                             Mar         21             1,050      day x 124 days)
                                                                                                                                                                                                          800       +250         650
                                                                                                               $17 per hour
                                                                                                                   p                                                                                        $17 per hour
                                                                                                                                                                                                                p
                        Overtime pay rate                                                                                                                         Overtime pay rate
                          Apr        21              1,050                                                 1,200 (above-150
                                                                                                                        8 hours per 500
                                                                                                                                    day)                          Other costs 21
                                                                                                                                                                    Apr         (overtime,     1,050    1,200 (above-150
                                                                                                                                                                                                                     8 hours per 500
                                                                                                                                                                                                                                 day)
                        Labor-hours to produce a unit
                         May         22             1,100                                                  1,500 hours per unit
                                                                                                               1.6     -400         100                             hiring, layoffs,
                                                                                                                                                                  Labor-hours to produce a unit
                                                                                                                                                                    May         22             1,100    1,500 hours per unit
                                                                                                                                                                                                            1.6     -400         100
                                                                                                                                                                      subcontracting)                                   0
                        Cost of increasing daily production rate1,100
                         June         20             1,000          $300 per-100
                                                                             unit                                                          0                      Cost of increasing daily production rate1,100
                                                                                                                                                                   June         20             1,000          $300 per-100
                                                                                                                                                                                                                       unit                            0
                          (hiring and training)                                                                                                                   Total cost training)
                                                                                                                                                                    (hiring and               $108,450
                                                                                                                                     1,850                                                                                                         1,850
                        Cost of decreasing daily production rate $600 per unit                                                                                    Cost of decreasing daily production rate $600 per unit
                          (layoffs)                                                                                                                                 (layoffs)
                                         Total units of inventory carried over from one                                                                              Total units of inventory carried over from one
                        Table 13.3                                    month to the next = 1,850 units                                                             Table 13.3                      month to the next = 1,850 units
                                        Workforce required to produce 50 units per day = 10 workers                                                                 Workforce required to produce 50 units per day = 10 workers

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                                          Roofing Supplier Example 2                                                                                                     Roofing Supplier Example 3
                                                                           7,000 –
                                                                                                                                                                                                                        Production     Demand Per Day
                                                                                                                                                                      Month               Expected Demand                  Days          (computed)
                                                                           6,000 –                      Reduction
                                                                                                                                                                       Jan                       900                        22               41
                                                            emand units




                                                                                                       of inventory
                                                                           5,000 –                                                 6,200 units                           Feb                            700                 18                39
                                                                                      Cumulative level
                                                                                      production using                                                                  Mar                             800                 21                38
                                                                           4,000 –    average monthly
                                                                                          forecast                                                                       Apr
                                                                                                                                                                          p                          1,200
                                                                                                                                                                                                      ,                     21                57
                                                Cumulative de




                                                                                        requirements                                                                    May                          1,500                  22                68
                                                                           3,000 –
                                                                                                                                                                        June                         1,100                  20                55
                                                                           2,000 –                                                                                                                   6,200                  124
                                                                                                             Cumulative forecast
                                                                                                             requirements                                                                                                                      Table 13.2
                                                                           1,000 –
                                                                                                          Excess inventory

                                                                                 –
                                                                                     Jan   Feb    Mar      Apr     May    June                                                   Minimum requirement = 38 units per day
Figure 13.4
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                                          Roofing Supplier Example 3                                                                                                     Roofing Supplier Example 3
                                                                                                       Forecast demand
                                                                                                                                                                  Cost Information
      Production rate per working day




                                        70 –                                                                                                                      Inventory carrying cost                                     $ 5 per unit per month
                                                                          Level production                                                                        Subcontracting cost per unit                                $20 per unit
                                        60 –                                using lowest
                                                                                                                                                                  Average pay rate                                            $10 per hour ($80 per day)
                                                                          monthly forecast
                                        50 –                                  demand                                                                                                                                          $17 per hour
                                                                                                                                                                                                                                  p
                                                                                                                                                                  Overtime pay rate
                    e




                                                                                                                                                                                                                                (above 8 hours per day)
                                        40 –                                                                                                                                                                                  1.6 hours per unit
                                                                                                                                                                  Labor-hours to produce a unit
                                        30 –                                                                                                                      Cost of increasing daily production rate                    $300 per unit
                                                                                                                                                                   (hiring and training)
                                                                                                                                                                  Cost of decreasing daily production rate                    $600 per unit
                                         0 –                                                                                                                       (layoffs)
                                               Jan                             Feb         Mar    Apr        May         June    = Month
                                                                                                                                                                  Table 13.3
                                               22                               18         21     21          22          20     = Number of
                                                                                                                                   working days
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              Roofing Supplier Example 3                                                                                                              Roofing Supplier Example 3
       Cost Information                                                                                                            Cost Information
       Inventory carry cost                                        $ 5 per unit per month                                          Inventory carry cost                                          $ 5 per unit per month
          In-house production
       Subcontracting cost per unit                          = 38 units per day
                                                                 $10 per unit                                                         In-house production
                                                                                                                                   Subcontracting cost per unit                            = 38 units per day
                                                                                                                                                                                               $10 per unit
       Average pay rate                                        x $ 5 perdays per day)
                                                                 124 hour ($40                                                     Average pay rate                                          x $ 5 perdays per day)
                                                                                                                                                                                               124 hour ($40
       Overtime pay rate
                                                             = 4,712 units
                                                                ,$ 7 per hour
                                                                     p
                                                                                                                                   Overtime pay rate
                                                                                                                                                                                           = 4,712 units
                                                                                                                                                                                              ,$ 7 per hour
                                                                                                                                                                                                   p
                                                                    (above 8 hours per day)                                                                                                           (above 8 hours per day)
              Subcontract units
       Labor-hours to produce a unit         =                  6,200 - 4,712
                                                                  1.6 hours per unit                                               Costs Subcontract units
                                                                                                                                   Labor-hours to produce a unit         = Calculations unit
                                                                                                                                                                            6,200 - 4,712
                                                                                                                                                                               1.6 hours per
       Cost of increasing daily production rate 1,488per unit
                                             = $300 units                                                                          Cost of increasing daily production rate (= $300 per unit x $80 per
                                                                                                                                   Regular-time labor           $75,392 = 1,488 units
                                                                                                                                                                               7.6 workers
        (hiring and training)                                                                                                       (hiring and training)                                     day x 124 days)
       Cost of decreasing daily production rate                    $600 per unit                                                   Cost of decreasing daily production rate (= $600 per unitx $20 per
                                                                                                                                   Subcontracting               29,760         1,488 units
        (layoffs)                                                                                                                   (layoffs)
                                                                                                                                                                                              unit)
       Table 13.3                                                                                                                  Table 13.3
                                                                                                                                         Total cost                          $105,152

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              Roofing Supplier Example 4                                                                                                              Roofing Supplier Example 4
                                                             Production     Demand Per Day
                                                                                                                 Production rate per working day

           Month               Expected Demand                  Days          (computed)                                                                           Forecast demand and
                                                                                                                                                                    monthly production
            Jan                       900                        22               41                                                                70 –
              Feb                            700                 18                39
                                                                                                                                                    60 –
             Mar                             800                 21                38
              Apr
               p                          1,200
                                           ,                     21                57                                                               50 –
                                                                                                                               e




             May                          1,500                  22                68
                                                                                                                                                    40 –
             June                         1,100                  20                55
                                          6,200                 124                                                                                 30 –
                                                                                    Table 13.2

                                                                                                                                                     0 –
                                                                                                                                                           Jan     Feb    Mar        Apr      May        June         = Month
                                Production = Expected Demand                                                                                               22      18      21        21          22        20         = Number of
                                                                                                                                                                                                                        working days
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              Roofing Supplier Example 4                                                                                                              Roofing Supplier Example 4
                                                                                                                                                              Basic
       Cost Information                                                                                                            Cost Information        Production
                                                                                                                                                               Cost                    Extra Cost of   Extra Cost of
       Inventory carrying cost                                     $ 5 per unit per month                                          Inventory carrying cost (demand x
                                                                                                                                                    Daily                               Increasing 5 perDecreasing month
                                                                                                                                                                                                 $        unit per
                                                                                                                                          Forecast  Prod  1.6 hrs/unit x                Production       Production
       Subcontracting cost per unit                                $20 per unit                                                    Subcontracting cost per unit
                                                                                                                                   Month   (units)  Rate     $10/hr)
                                                                                                                                                                                                 $10 per unitcost) Total Cost
                                                                                                                                                                                       (hiring cost)    (layoff
       Average pay rate                                            $10 per hour ($80 per day)                                      Average pay rate
                                                                                                                                    Jan     900                     41    $ 14,400           —   $ 5 per hour ($40 per14,400
                                                                                                                                                                                                           —        $ day)

                                                                   $17 per hour
                                                                       p                                                                                                                                   $1,200
                                                                                                                                                                                                 $ 7 per hour
                                                                                                                                                                                                     p
       Overtime pay rate                                                                                                           Overtime 700 rate39
                                                                                                                                    Feb     pay                            11,200
                                                                                                                                                                           11 200            —                        12,400
                                                                                                                                                                                                                      12 400
                                                                     (above 8 hours per day)                                                                                                       (above28 hours per day)
                                                                                                                                                                                                        (= x $600)
                                                                                                                                                                                                        (
                                                                                                                                                                                                            $600
       Labor-hours to produce a unit                               1.6 hours per unit                                              Labor- 800
                                                                                                                                   Labor-hours to produce a 12,800
                                                                                                                                    Mar             38      unit                             —   1.6 hours x $600)
                                                                                                                                                                                                        (= 1 per unit 13,400
       Cost of increasing daily production rate                    $300 per unit                                                   Cost of increasing daily production rate
                                                                                                                                    Apr     1,200    57      19,200
                                                                                                                                                                          $5,700$300 per unit
                                                                                                                                                                                          —                                   24,900
        (hiring and training)                                                                                                       (hiring and training)              (= 19 x $300)
                                                                                                                                                                          $3,300
       Cost of decreasing daily production rate                    $600 per unit                                                   Cost of decreasing daily production (= 11 x $300) per unit
                                                                                                                                    May     1,500    68      24,000     rate $600         —                                   24,300
        (layoffs)                                                                                                                   (layoffs)
                                                                                                                                                                                                             $7,800
                                                                                                                                                   June    1,100    55     17,600            —                                25,400
                                                                                                                                                                                                          (= 13 x $600)
       Table 13.3                                                                                                                  Table 13.3
                                                                                                                                                                          $99,200          $9,000            $9,600         $117,800

                                                                                                                                                                                                                          Table 13.4
© 2011 Pearson Education, Inc. publishing as Prentice Hall                                       13 - 47   © 2011 Pearson Education, Inc. publishing as Prentice Hall                                                                  13 - 48




                                                                                                                                                                                                                                                 8
10/16/2010




                Comparison of Three Plans                                                                                        Mathematical Approaches
                                                                                                                                  Useful for generating strategies
       Cost                                             Plan 1         Plan 2          Plan 3
                                                                                                                                            Transportation Method of Linear
       Inventory carrying                               $ 9,250        $    0      $         0                                              Programming
       Regular labor                                     99,200         75,392     99,200                                                              Produces an optimal plan
       Overtime labor                                        0              0                0
                                                                                                                                            Management Coefficients Model
       Hiring                                                0              0          9,000
                                                                                                                                                       Model built around manager’s
       Layoffs                                               0              0          9,600
                                                                                                                                                       experience and performance
       Subcontracting                                        0          29,760               0
                                                                                                                                            Other Models
       Total cost                                   $108,450          $105,152   $117,800
                                                                                                                                                       Linear Decision Rule
              Plan 2 is the lowest cost option                                                                                                         Simulation
                                                                                        Table 13.5
© 2011 Pearson Education, Inc. publishing as Prentice Hall                                           13 - 49   © 2011 Pearson Education, Inc. publishing as Prentice Hall             13 - 50




                        Transportation Method                                                                                        Transportation Example
                                                                     Sales Period
                                                                 Mar     Apr      May                                  Important points
            Demand                                               800   1,000      750                                    1. Carrying costs are $2/tire/month. If
            Capacity:                                                                                                       goods are made in one period and held
             Regular                                             700       700         700
                                                                                                                            over to the next, holding costs are
             Overtime                                             50        50          50
                                                                                                                            incurred
             Subcontracting                                      150       150         130
            Beginning inventory                                  100 tires                                               2. Supply must equal demand, so a dummy
                                                       Costs
                                                                                                                            column called “unused capacity” is
            Regular time                                 $40      per tire                                                  added
            Overtime                                     $50      per tire                                               3. Because back ordering is not viable in
            Subcontracting                               $70      per tire                                                  this example, cells that might be used to
            Carrying                                      $2      per tire per month                                        satisfy earlier demand are not available
                                                                                             Table 13.6
© 2011 Pearson Education, Inc. publishing as Prentice Hall                                           13 - 51   © 2011 Pearson Education, Inc. publishing as Prentice Hall             13 - 52




                      Transportation Example                                                                          Transportation
        Important points                                                                                              Example
          4. Quantities in each column designate
             the levels of inventory needed to meet
             demand requirements
          5. In general, production should be
             allocated to the lowest cost cell
             available without exceeding unused
             capacity in the row or demand in the
             column


                                                                                                                  Table 13.7
© 2011 Pearson Education, Inc. publishing as Prentice Hall                                           13 - 53   © 2011 Pearson Education, Inc. publishing as Prentice Hall             13 - 54




                                                                                                                                                                                                9
10/16/2010




                   Management Coefficients                                                                                                       Other Models
                          Model
                                                                                                              Linear Decision Rule
                 Builds a model based on manager’s                                                                            Minimizes costs using quadratic cost curves
                 experience and performance                                                                                   Operates over a particular time period
                 A regression model is constructed
                           i       d li       t  t d                                                          Simulation
                 to define the relationships between
                 decision variables                                                                                           Uses a search procedure to try different
                                                                                                                              combinations of variables
                 Objective is to remove                                                                                       Develops feasible but not necessarily optimal
                 inconsistencies in decision making                                                                           solutions


© 2011 Pearson Education, Inc. publishing as Prentice Hall                                  13 - 55   © 2011 Pearson Education, Inc. publishing as Prentice Hall                                  13 - 56




                   Summary of Aggregate                                                                                  Summary of Aggregate
                     Planning Methods                                                                                      Planning Methods
                                                 Solution                                                                                              Solution
              Techniques                        Approaches       Important Aspects                                  Techniques                        Approaches       Important Aspects
       Graphical                               Trial and     Simple to understand and                        Management                              Heuristic     Simple, easy to implement;
        methods                                 error         easy to use. Many                               coefficients                                          tries to mimic manager’s
                                                              solutions; one chosen                           model                                                 decision process; uses
                                                              may not be optimal.                                                                                   regression.
       Transportation    Optimization                        LP software available;                          Simulation                              Change        Complex; may be difficult
        method of linear                                      permits sensitivity                                                                     parameters    to build and for managers
        programming                                           analysis and new                                                                                      to understand.
                                                              constraints; linear
                                                              functions may not be
                                                              realistic.


                                                                               Table 13.8                                                                                            Table 13.8
© 2011 Pearson Education, Inc. publishing as Prentice Hall                                  13 - 57   © 2011 Pearson Education, Inc. publishing as Prentice Hall                                  13 - 58




                          Aggregate Planning in
                                Services                                                                                  Five Service Scenarios
      Controlling the cost of labor is critical                                                                             Restaurants
            1. Accurate scheduling of labor-hours                                                                                     Smoothing the production
               to assure quick response to customer                                                                                   p
                                                                                                                                      process
               demand
               d      d
                                                                                                                                      Determining the optimal
            2. An on-call labor resource to cover                                                                                     workforce size
               unexpected demand
            3. Flexibility of individual worker skills
                                                                                                                            Hospitals
            4. Flexibility in rate of output or hours of                                                                              Responding to patient demand
               work
© 2011 Pearson Education, Inc. publishing as Prentice Hall                                  13 - 59   © 2011 Pearson Education, Inc. publishing as Prentice Hall                                  13 - 60




                                                                                                                                                                                                            10
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Heizer om10 ch13-aggregate planning

  • 1. 10/16/2010 Aggregate Planning Outline 13 Global Company Profile: Frito-Lay The Planning Process Planning Horizons PowerPoint presentation to accompany The Nature of Aggregate Planning Heizer and Render Operations Management, 10e Aggregate Planning Strategies Principles of Operations Management, 8e PowerPoint slides by Jeff Heyl Capacity Options Demand Options Mixing Options to Develop a Plan © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 1 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 2 Outline – Continued Outline – Continued Aggregate Planning in Services Methods for Aggregate Planning Restaurants Graphical Methods Hospitals Mathematical Approaches National Chains of Small Service Comparison of Aggregate Planning Firms Methods Miscellaneous Services Airline Industry Yield Management © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 3 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 4 Learning Objectives Learning Objectives When you complete this chapter you When you complete this chapter you should be able to: should be able to: 1. Define aggregate planning 4. Solve an aggregate plan via the transportation method of linear 2. Identify optional strategies for programming developing an aggregate plan 5. Understand and solve a yield 3. Prepare a graphical aggregate plan management problem © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 5 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 6 1
  • 2. 10/16/2010 Frito- Frito-Lay Frito- Frito-Lay More than three dozen brands, 15 Demand profile based on historical brands sell more than $100 million sales, forecasts, innovations, annually, 7 sell over $1 billion promotion, local demand data Planning processes covers 3 to 18 Match total demand to capacity, months expansion plans, and costs Unique processes and specially Quarterly aggregate plan goes to 38 designed equipment plants in 18 regions High fixed costs require high volumes Each plant develops 4-week plan for and high utilization product lines and production runs © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 7 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 8 Aggregate Planning The Planning Process Determine the quantity and timing of production for the intermediate future The objective of aggregate planning is to meet forecasted demand while Objective is to minimize cost over the minimizing cost over the planning g p g planning period by adjusting period Production rates Labor levels Inventory levels Overtime work Subcontracting rates Other controllable variables © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 9 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 10 Aggregate Planning Planning Horizons Long-range plans Required for aggregate planning (over one year) Research and Development New product plans Capital investments Facility location/expansion A logical overall unit for measuring sales Top and output executives Intermediate-range plans (3 to 18 months) A forecast of demand for an intermediate Sales planning Production planning and budgeting planning period in these aggregate terms Operations managers Setting employment, inventory, subcontracting levels Analyzing operating plans A method for determining costs Short-range plans (up to 3 months) A model that combines forecasts and Job assignments Ordering Operations costs so that scheduling decisions can managers, Job scheduling Dispatching supervisors, be made for the planning period foremen Overtime Part-time help Responsibility Planning tasks and horizon Figure 13.1 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 11 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 12 2
  • 3. 10/16/2010 Aggregate Planning Aggregate Planning Quarter 1 Jan Feb Mar 150,000 120,000 110,000 Quarter 2 Apr May Jun 100,000 130,000 150,000 Quarter 3 Jul Aug Sep 180,000 150,000 140,000 Figure 13.2 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 13 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 14 Aggregate Planning Aggregate Planning Strategies Combines appropriate resources 1. Use inventories to absorb changes in into general terms demand 2. Accommodate changes by varying Part of a larger production planning workforce size system t 3. Use part-timers, overtime, or idle time to Disaggregation breaks the plan absorb changes down into greater detail 4. Use subcontractors and maintain a stable workforce Disaggregation results in a master production schedule 5. Change prices or other factors to influence demand © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 15 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 16 Capacity Options Capacity Options Changing inventory levels Varying workforce size by hiring Increase inventory in low demand or layoffs periods to meet high demand in the future Match production rate to demand Increases costs associated with Training d T i i and separation costs for ti t f storage, insurance, handling, hiring and laying off workers obsolescence, and capital New workers may have lower investment productivity Shortages may mean lost sales Laying off workers may lower due to long lead times and poor morale and productivity customer service © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 17 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 18 3
  • 4. 10/16/2010 Capacity Options Capacity Options Varying production rate through Subcontracting overtime or idle time Temporary measure during Allows constant workforce periods of peak demand May be diffi lt t M b difficult to meet large tl May be costly increases in demand Assuring quality and timely Overtime can be costly and may delivery may be difficult drive down productivity Exposes your customers to a Absorbing idle time may be possible competitor difficult © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 19 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 20 Capacity Options Demand Options Influencing demand Using part-time workers Use advertising or promotion Useful for filling unskilled or low to increase demand in low skilled positions, especially in periods services Attempt to shift demand to slow periods May not be sufficient to balance demand and capacity © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 21 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 22 Demand Options Demand Options Back ordering during high- Counterseasonal product and demand periods service mixing Requires customers to wait for an Develop a product mix of order without loss of goodwill or counterseasonal items the order May lead to products or services Most effective when there are few outside the company’s areas of if any substitutes for the product expertise or service Often results in lost sales © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 23 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 24 4
  • 5. 10/16/2010 Aggregate Planning Options Aggregate Planning Options Option Advantages Disadvantages Some Comments Option Advantages Disadvantages Some Comments Changing Changes in Inventory Applies mainly to Varying Matches Overtime Allows flexibility inventory human holding cost production, not production seasonal premiums; tired within the levels resources are may increase. service, rates fluctuations workers; may aggregate plan. gradual or Shortages may operations. through without hiring/ not meet none; no abrupt result in lost overtime or training costs. g demand. production sales. idle time changes. Sub- Permits Loss of quality Applies mainly in Varying Avoids the costs Hiring, layoff, Used where size contracting flexibility and control; production workforce of other and training of labor pool is smoothing of reduced profits; settings. size by alternatives. costs may be large. the firm’s loss of future hiring or significant. output. business. layoffs Table 13.1 Table 13.1 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 25 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 26 Aggregate Planning Options Aggregate Planning Options Option Advantages Disadvantages Some Comments Option Advantages Disadvantages Some Comments Using part- Is less costly High turnover/ Good for Back May avoid Customer must Many companies time and more training costs; unskilled jobs in ordering overtime. be willing to back order. workers flexible than quality suffers; areas with large during Keeps capacity wait, but full-time scheduling temporary labor high- constant. goodwill is lost. workers. difficult. pools. demand periods Influencing Tries to use Uncertainty in Creates demand excess demand. Hard marketing Counter- Fully utilizes May require Risky finding capacity. to match ideas. seasonal resources; skills or products or Discounts draw demand to Overbooking product allows stable equipment services with new customers. supply exactly. used in some and service workforce. outside the opposite businesses. mixing firm’s areas of demand expertise. patterns. Table 13.1 Table 13.1 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 27 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 28 Methods for Aggregate Mixing Options to Planning Develop a Plan A mixed strategy may be the best Chase strategy way to achieve minimum costs Match output rates to demand forecast for eac pe od o ecast o each period There are many possible mixed Th ibl i d strategies Vary workforce levels or vary production rate Finding the optimal plan is not Favored by many service always possible organizations © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 29 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 30 5
  • 6. 10/16/2010 Mixing Options to Develop a Plan Graphical Methods Level strategy Popular techniques Daily production is uniform Easy to understand and use Use inventory or idle time as buffer Trial-and-error approaches that do Stable production leads to better not guarantee an optimal solution quality and productivity Require only limited computations Some combination of capacity options, a mixed strategy, might be the best solution © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 31 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 32 Graphical Methods Roofing Supplier Example 1 Production Demand Per Day 1. Determine the demand for each period Month Expected Demand Days (computed) Jan 900 22 41 2. Determine the capacity for regular time, Feb 700 18 39 overtime, and subcontracting each period Mar 800 21 38 3. 3 Find labor costs, hiring and layoff costs costs costs, Apr p 1,200 , 21 57 May 1,500 22 68 and inventory holding costs June 1,100 20 55 4. Consider company policy on workers and 6,200 124 stock levels Table 13.2 Average Total expected demand 5. Develop alternative plans and examine requirement = Number of production days their total costs 6,200 = = 50 units per day 124 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 33 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 34 Roofing Supplier Example 1 Roofing Supplier Example 2 Forecast demand Cost Information Production rate per working day 70 – Inventory carrying cost $ 5 per unit per month Level production using average monthly forecast demand Subcontracting cost per unit $20 per unit 60 – Average pay rate $10 per hour ($80 per day) 50 – $17 per hour p Overtime pay rate e (above 8 hours per day) 40 – 1.6 hours per unit Labor-hours to produce a unit 30 – Cost of increasing daily production rate $300 per unit (hiring and training) Cost of decreasing daily production rate $600 per unit 0 – (layoffs) Jan Feb Mar Apr May June = Month Table 13.3 22 18 21 21 22 20 = Number of Figure 13.3 working days © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 35 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 36 6
  • 7. 10/16/2010 Roofing Supplier Example 2 Roofing Supplier Example 2 Production Monthly Production Monthly Cost Information Production at 50 Units Demand Inventory Ending Costs Production Cost Information at 50 Units Calculations Demand Inventory Ending Month Days cost per Day Inventory carrying $ 5 Change Forecast per unit per month Inventory Month Days cost per Day Inventory carrying Inventory carrying $9,250 (= 1,850Change Forecast per unit per month $5 $5 Inventory units carried x Subcontracting cost per unit 1,100 Jan 22 900 per +200 $20 unit 200 Subcontracting cost per unit 1,100 Jan 22 per unit) +200 900 per unit $20 200 Feb 18 900 700 per +200 ($80 per400 $10 hour day) Feb 18 Regular-time labor 900 700 per +200 ($80 per400 99,200 (= 10 workers x $80 per $10 hour day) Average pay rate Average pay rate Mar 21 1,050 800 +250 650 Mar 21 1,050 day x 124 days) 800 +250 650 $17 per hour p $17 per hour p Overtime pay rate Overtime pay rate Apr 21 1,050 1,200 (above-150 8 hours per 500 day) Other costs 21 Apr (overtime, 1,050 1,200 (above-150 8 hours per 500 day) Labor-hours to produce a unit May 22 1,100 1,500 hours per unit 1.6 -400 100 hiring, layoffs, Labor-hours to produce a unit May 22 1,100 1,500 hours per unit 1.6 -400 100 subcontracting) 0 Cost of increasing daily production rate1,100 June 20 1,000 $300 per-100 unit 0 Cost of increasing daily production rate1,100 June 20 1,000 $300 per-100 unit 0 (hiring and training) Total cost training) (hiring and $108,450 1,850 1,850 Cost of decreasing daily production rate $600 per unit Cost of decreasing daily production rate $600 per unit (layoffs) (layoffs) Total units of inventory carried over from one Total units of inventory carried over from one Table 13.3 month to the next = 1,850 units Table 13.3 month to the next = 1,850 units Workforce required to produce 50 units per day = 10 workers Workforce required to produce 50 units per day = 10 workers © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 37 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 38 Roofing Supplier Example 2 Roofing Supplier Example 3 7,000 – Production Demand Per Day Month Expected Demand Days (computed) 6,000 – Reduction Jan 900 22 41 emand units of inventory 5,000 – 6,200 units Feb 700 18 39 Cumulative level production using Mar 800 21 38 4,000 – average monthly forecast Apr p 1,200 , 21 57 Cumulative de requirements May 1,500 22 68 3,000 – June 1,100 20 55 2,000 – 6,200 124 Cumulative forecast requirements Table 13.2 1,000 – Excess inventory – Jan Feb Mar Apr May June Minimum requirement = 38 units per day Figure 13.4 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 39 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 40 Roofing Supplier Example 3 Roofing Supplier Example 3 Forecast demand Cost Information Production rate per working day 70 – Inventory carrying cost $ 5 per unit per month Level production Subcontracting cost per unit $20 per unit 60 – using lowest Average pay rate $10 per hour ($80 per day) monthly forecast 50 – demand $17 per hour p Overtime pay rate e (above 8 hours per day) 40 – 1.6 hours per unit Labor-hours to produce a unit 30 – Cost of increasing daily production rate $300 per unit (hiring and training) Cost of decreasing daily production rate $600 per unit 0 – (layoffs) Jan Feb Mar Apr May June = Month Table 13.3 22 18 21 21 22 20 = Number of working days © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 41 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 42 7
  • 8. 10/16/2010 Roofing Supplier Example 3 Roofing Supplier Example 3 Cost Information Cost Information Inventory carry cost $ 5 per unit per month Inventory carry cost $ 5 per unit per month In-house production Subcontracting cost per unit = 38 units per day $10 per unit In-house production Subcontracting cost per unit = 38 units per day $10 per unit Average pay rate x $ 5 perdays per day) 124 hour ($40 Average pay rate x $ 5 perdays per day) 124 hour ($40 Overtime pay rate = 4,712 units ,$ 7 per hour p Overtime pay rate = 4,712 units ,$ 7 per hour p (above 8 hours per day) (above 8 hours per day) Subcontract units Labor-hours to produce a unit = 6,200 - 4,712 1.6 hours per unit Costs Subcontract units Labor-hours to produce a unit = Calculations unit 6,200 - 4,712 1.6 hours per Cost of increasing daily production rate 1,488per unit = $300 units Cost of increasing daily production rate (= $300 per unit x $80 per Regular-time labor $75,392 = 1,488 units 7.6 workers (hiring and training) (hiring and training) day x 124 days) Cost of decreasing daily production rate $600 per unit Cost of decreasing daily production rate (= $600 per unitx $20 per Subcontracting 29,760 1,488 units (layoffs) (layoffs) unit) Table 13.3 Table 13.3 Total cost $105,152 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 43 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 44 Roofing Supplier Example 4 Roofing Supplier Example 4 Production Demand Per Day Production rate per working day Month Expected Demand Days (computed) Forecast demand and monthly production Jan 900 22 41 70 – Feb 700 18 39 60 – Mar 800 21 38 Apr p 1,200 , 21 57 50 – e May 1,500 22 68 40 – June 1,100 20 55 6,200 124 30 – Table 13.2 0 – Jan Feb Mar Apr May June = Month Production = Expected Demand 22 18 21 21 22 20 = Number of working days © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 45 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 46 Roofing Supplier Example 4 Roofing Supplier Example 4 Basic Cost Information Cost Information Production Cost Extra Cost of Extra Cost of Inventory carrying cost $ 5 per unit per month Inventory carrying cost (demand x Daily Increasing 5 perDecreasing month $ unit per Forecast Prod 1.6 hrs/unit x Production Production Subcontracting cost per unit $20 per unit Subcontracting cost per unit Month (units) Rate $10/hr) $10 per unitcost) Total Cost (hiring cost) (layoff Average pay rate $10 per hour ($80 per day) Average pay rate Jan 900 41 $ 14,400 — $ 5 per hour ($40 per14,400 — $ day) $17 per hour p $1,200 $ 7 per hour p Overtime pay rate Overtime 700 rate39 Feb pay 11,200 11 200 — 12,400 12 400 (above 8 hours per day) (above28 hours per day) (= x $600) ( $600 Labor-hours to produce a unit 1.6 hours per unit Labor- 800 Labor-hours to produce a 12,800 Mar 38 unit — 1.6 hours x $600) (= 1 per unit 13,400 Cost of increasing daily production rate $300 per unit Cost of increasing daily production rate Apr 1,200 57 19,200 $5,700$300 per unit — 24,900 (hiring and training) (hiring and training) (= 19 x $300) $3,300 Cost of decreasing daily production rate $600 per unit Cost of decreasing daily production (= 11 x $300) per unit May 1,500 68 24,000 rate $600 — 24,300 (layoffs) (layoffs) $7,800 June 1,100 55 17,600 — 25,400 (= 13 x $600) Table 13.3 Table 13.3 $99,200 $9,000 $9,600 $117,800 Table 13.4 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 47 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 48 8
  • 9. 10/16/2010 Comparison of Three Plans Mathematical Approaches Useful for generating strategies Cost Plan 1 Plan 2 Plan 3 Transportation Method of Linear Inventory carrying $ 9,250 $ 0 $ 0 Programming Regular labor 99,200 75,392 99,200 Produces an optimal plan Overtime labor 0 0 0 Management Coefficients Model Hiring 0 0 9,000 Model built around manager’s Layoffs 0 0 9,600 experience and performance Subcontracting 0 29,760 0 Other Models Total cost $108,450 $105,152 $117,800 Linear Decision Rule Plan 2 is the lowest cost option Simulation Table 13.5 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 49 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 50 Transportation Method Transportation Example Sales Period Mar Apr May Important points Demand 800 1,000 750 1. Carrying costs are $2/tire/month. If Capacity: goods are made in one period and held Regular 700 700 700 over to the next, holding costs are Overtime 50 50 50 incurred Subcontracting 150 150 130 Beginning inventory 100 tires 2. Supply must equal demand, so a dummy Costs column called “unused capacity” is Regular time $40 per tire added Overtime $50 per tire 3. Because back ordering is not viable in Subcontracting $70 per tire this example, cells that might be used to Carrying $2 per tire per month satisfy earlier demand are not available Table 13.6 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 51 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 52 Transportation Example Transportation Important points Example 4. Quantities in each column designate the levels of inventory needed to meet demand requirements 5. In general, production should be allocated to the lowest cost cell available without exceeding unused capacity in the row or demand in the column Table 13.7 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 53 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 54 9
  • 10. 10/16/2010 Management Coefficients Other Models Model Linear Decision Rule Builds a model based on manager’s Minimizes costs using quadratic cost curves experience and performance Operates over a particular time period A regression model is constructed i d li t t d Simulation to define the relationships between decision variables Uses a search procedure to try different combinations of variables Objective is to remove Develops feasible but not necessarily optimal inconsistencies in decision making solutions © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 55 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 56 Summary of Aggregate Summary of Aggregate Planning Methods Planning Methods Solution Solution Techniques Approaches Important Aspects Techniques Approaches Important Aspects Graphical Trial and Simple to understand and Management Heuristic Simple, easy to implement; methods error easy to use. Many coefficients tries to mimic manager’s solutions; one chosen model decision process; uses may not be optimal. regression. Transportation Optimization LP software available; Simulation Change Complex; may be difficult method of linear permits sensitivity parameters to build and for managers programming analysis and new to understand. constraints; linear functions may not be realistic. Table 13.8 Table 13.8 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 57 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 58 Aggregate Planning in Services Five Service Scenarios Controlling the cost of labor is critical Restaurants 1. Accurate scheduling of labor-hours Smoothing the production to assure quick response to customer p process demand d d Determining the optimal 2. An on-call labor resource to cover workforce size unexpected demand 3. Flexibility of individual worker skills Hospitals 4. Flexibility in rate of output or hours of Responding to patient demand work © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 59 © 2011 Pearson Education, Inc. publishing as Prentice Hall 13 - 60 10