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POM 370


Materials Management


                       1
Materials Management

Importance
 Component of cost of goods sold (COGS)

 Labor component of COGS declining

 Significant increase in cost of materials
      Direct
      Indirect (overhead)



                                              2
Materials Management
            Enterprise




                                                Finished-goods
             Orders
                          Purchasing




                                                    Storage
                              Raw-material




                                                                                Customers
                                Storage
Suppliers




                             Transformation




                                                                 Distribution
              Receiving




                               Processes




                                       In-process
                                         Storage

                                                                                      3
Inventory

 One of the most expensive assets of many
  companies representing as much as 50% of
  total invested capital
 Operations managers must balance inventory
  investment and customer service




                                             4
Inventory

What is inventory?
 Stock of materials
 Stored Capacity
 Examples:




                       5
Inventory

Functions of inventory:
 To meet anticipated customer demand
 To decouple suppliers – production –
  distribution
 To take advantage of quantity discounts
 To hedge against inflation & price increases
 To protect against delivery variations
 To avoid production disruptions through use
  of Work-In-Process (WIP)
                                                 6
Inventory

Negative aspects of inventory:
 Large inventories hide operational problems

 Financial cost in carrying excess inventories

 Risk of damage to goods held in inventory

 Risk of product obsolescence




                                                  7
Inventory

Types of Inventory:
 Raw material
     Purchased but not processed
 Work-in-process
     Undergone some change but not completed
     A function of cycle time for a product
 Maintenance/repair/operating (MRO)
     Necessary to keep machinery and processes
      productive
 Finished goods
     Completed product awaiting shipment
                                                  8
Inventory

Examples:
 Raw material
     Iron ore – steel mill
     Flour – bakery
 Work-in-process
     Radiator – auto manufacturer
     Draft contract – attorney




                                     9
Inventory

Examples:
 Maintenance / repair / operating supplies
  (MRO)
      Lubricating oil – machine shop
      Soap and shampoo – hotel
 Finished goods
      Candy bar – confectioner
      Policy – insurance company



                                              10
Inventory

                      Transformation Process


           Raw                                 Finished
          Materials                             goods
Vendors                    Work in                        Customers
                           process




                                                              11
Water Tank Analogy

                                Inventory Level
Supply Rate




              Inventory Level




                Demand Rate
                                                  12
ABC Analysis

 How inventory items can be classified

 How accurate inventory records can be
  maintained




                                          13
ABC Analysis

 Divides inventory into three classes based on
  annual dollar volume
      Class A - high annual dollar volume
      Class B - medium annual dollar volume
      Class C - low annual dollar volume
 Used to establish policies that focus on the
  few critical parts and not the many trivial
  ones
                                                 14
ABC Analysis
% Annual $ Usage          Class     % $ Vol   % Items
 100                        A         80        15
                            B         15        30
  80
                            C          5        55
  60
  40
           A
               B
  20                     C
   0
       0            50             100
                   % of Inventory Items
                                                   15
ABC Analysis
       Percent of                                          Percent of
 Item   Number      Annual                      Annual      Annual
 Stock  of Items    Volume         Unit          Dollar      Dollar
Number Stocked      (units)   x    Cost     =   Volume      Volume            Class

#10286    20%         1,000       $ 90.00       $ 90,000      38.8%     72%    A

#11526                 500        154.00         77,000       33.2%            A


#12760                1,550        17.00         26,350       11.3%            B

#10867    30%          350         42.86         15,001         6.4%    23%    B

#10500                1,000        12.50         12,500         5.4%           B

                                                                                   16
ABC Analysis
       Percent of                                          Percent of
 Item   Number      Annual                      Annual      Annual
 Stock  of Items    Volume         Unit          Dollar      Dollar
Number Stocked      (units)   x    Cost     =   Volume      Volume           Class

#12572                 600        $ 14.17        $ 8,502        3.7%          C

#14075                2,000           .60         1,200          .5%          C


#01036    50%          100          8.50            850          .4%    5%    C

#01307                1,200           .42           504          .2%          C

#10572                 250            .60           150          .1%          C

                                                                                  17
Percent of annual dollar usage        ABC Analysis

                                       A Items
                                 80   –
                                 70   –
                                 60   –
                                 50   –
                                 40   –
                                 30   –
                                 20   –          B Items
                                 10   –                                C Items
                                  0   –    |   |     |   |   |    |      |       |   |   |

                                          10 20 30 40        50   60    70    80     90 100
                                                 Percent of inventory items
                                                                                              18
ABC Analysis

 Other criteria than annual dollar volume may
  be used
      Key accounts
      Anticipated engineering changes
      Delivery problems
      Quality problems
      High unit cost

                                             19
ABC Analysis

 Policies employed may include
      More emphasis on supplier development for A
       items
      Tighter physical inventory control for A items
      More care in forecasting A items




                                                    20
Cycle Counting

 Items are counted and records updated on a
  periodic basis
 Often used with ABC analysis to determine
  cycle




                                               21
Cycle Counting

 Has several advantages
      Eliminates shutdowns and interruptions
      Eliminates annual inventory adjustment
      Trained personnel audit inventory accuracy
      Allows causes of errors to be identified and
       corrected
      Maintains accurate inventory records



                                                      22
Cycle Counting
5,000 items in inventory, 500 A items, 1,750 B items, 2,750 C
items
Policy is to count A items every month (20 working days), B
items every quarter (60 days), and C items every six months
(120 days)

Item                                         Number of Items
Class   Quantity     Cycle Counting Policy   Counted per Day
 A        500      Each month                   500/20 = 25/day
 B       1,750     Each quarter                1,750/60 = 29/day

 C       2,750     Every 6 months             2,750/120 = 23/day
                                                         77/day

                                                                   23
Control of Service Inventories

 Can be a critical component of profitability

 Losses may come from shrinkage or pilferage

 Applicable techniques include
      Good personnel selection, training, and
       discipline
      Tight control on incoming shipments
      Effective control on all goods leaving facility

                                                         24
Control of Service Inventories

 Shrinkage
     Unaccounted retail inventory between receipt
      and sale
     Due to damage, theft and sloppy paperwork
     Theft also known as pilferage
     Accounts for 1% to 3% of sales




                                                 25
Control of Service Inventories

 Controls
     Good personnel selection, training, and
      discipline
     Tight control of incoming shipments
     Effective control of all goods leaving the
      facility




                                                   26
Types of Demand

 Independent demand - the demand for item is
  independent of the demand for any other
  item in inventory
      Refrigerator – goods
      Hamburger – services




                                            27
Types of Demand

 Dependent demand - the demand for item is
  dependent upon the demand for some other
  item in the inventory
     Ice maker – goods
     Ketchup – services




                                              28
Materials Costs

 Holding costs - associated with holding or
  “carrying” inventory over time
 Setup costs - associated with costs of placing
  order and receiving goods
 Out-of-stock costs - cost of back order and cost
  of lost sales




                                                   29
Holding Costs

 Obsolescence

 Insurance

 Extra staffing

 Cost of money (opportunity costs)

 Pilferage

 Damage

 Warehousing
                                      30
Holding Costs
                                                           Cost (and Range) as a
                                                            Percent of Inventory
                        Category                                   Value
Housing costs (including rent or depreciation, operating     6% (3 - 10%)
costs, taxes, insurance)

Material handling costs (equipment lease or                  3% (1 - 3.5%)
depreciation, power, operating cost)
Labor cost                                                   3% (3 - 5%)
Investment costs (borrowing costs, taxes, and              11% (6 - 24%)
insurance on inventory)
Pilferage, space, and obsolescence                           3% (2 - 5%)
Overall carrying cost                                      26%

                                                                               31
Setup Cost

 Supplies

 Forms

 Order processing

 Clerical support




                     32
Independent Demand Models

 Fixed order-quantity models
      Economic order quantity (EOQ)
      Production order quantity       Help answer the
                                        Help answer the
       (POQ)                           inventory planning
                                        inventory planning
                                       questions!
                                        questions!
      Quantity discount
 Probabilistic models
 Fixed order-period models



                                                      33
EOQ Model

EOQ assumptions:
 Known and constant demand

 Known and constant lead time

 Instantaneous receipt of material

 No quantity discounts

 Only order (setup) cost and holding cost

 No stockouts
                                             34
EOQ Model
  EOQ inventory over time:
Order quantity = Q              Usage Rate
(maximum                                      Average
inventory level)                             Inventory
                                               (Q*/2)
              Inventory Level




    Minimum
    inventory
              0                                   Time

                                                         35
EOQ Model
EOQ Order Quantity:
    Annual Cost

                                                     ve
                                            os t Cur
                                    Total C              Curv
                                                              e
                                                       t
Minimum                                           Cos
total cost                               Ho lding


                                         Order (Setup) Cost Curve

                       Optimal                            Order quantity
                  Order Quantity (Q*)

                                                                           36
D
                                             Annual setup cost =    S
                                                                   Q
         EOQ Model
Q    = Number of pieces per order
Q*   = Optimal number of pieces per order (EOQ)
D    = Annual demand in units for the Inventory item
S    = Setup or ordering cost for each order
H    = Holding or carrying cost per unit per year

 Annual setup cost =     (Number of orders placed per year)
                         x (Setup or order cost per order)

               Annual demand               Setup or order
     =
          Number of units in each order    cost per order

         D (S)
     =
         Q
                                                                   37
D
                                     Annual setup cost =   S
                                                          Q
EOQ Model                           Annual holding cost =
                                                           Q
                                                             H
                                                           2

 Q    = Number of pieces per order
 Q*   = Optimal number of pieces per order (EOQ)
 D    = Annual demand in units for the Inventory item
 S    = Setup or ordering cost for each order
 H    = Holding or carrying cost per unit per year

  Annual holding cost = (Average inventory level)
                        x (Holding cost per unit per year)

            Order quantity
        =                    (Holding cost per unit per year)
                  2

            Q
      =       (H)
            2
                                                           38
EOQ Model
Q    = Number of pieces per order
Q*   = Optimal number of pieces per order (EOQ)
 D   = Annual demand in units for the Inventory item
 S   = Setup or ordering cost for each order
 H   = Holding or carrying cost per unit per year
     Optimal order quantity is found when annual setup cost
                   equals annual holding cost
                          D     Q
                            S =   H
                          Q     2
 Solving for Q*          2DS = Q2H
                         Q2 = 2DS/H
                       Q* =     2DS/H
                                                          39
EOQ Model - Example

 Determine optimal number of needles to order
 D = 1,000 units
 S = $10 per order
 H = $.50 per unit per year


       2DS
Q* =
        H
       2(1,000)(10)
Q* =                =      40,000 = 200 units
           0.50
                                                40
EOQ Model - Example

Determine optimal number of needles to order
D = 1,000 units             Q* = 200 units
S = $10 per order
H = $.50 per unit per year

 Expected           Demand           D
 number of = N =                 =
   orders        Order quantity     Q*
                 1,000
             N=         = 5 orders per year
                  200

                                               41
EOQ Model - Example

  Determine optimal number of needles to order
  D = 1,000 units            Q* = 200 units
  S = $10 per order           N = 5 orders per year
  H = $.50 per unit per year

                   Number of working
  Expected           days per year
time between = T =
   orders                 N
                    250
              T=        = 50 days between orders
                     5
                                                 42
EOQ Model - Example

Determine optimal number of needles to order
D = 1,000 units            Q* = 200 units
S = $10 per order           N = 5 orders per year
H = $.50 per unit per year  T = 50 days

Total annual cost = Setup cost + Holding cost
       D     Q
TC =     S +   H
       Q     2
       1,000         200
TC =         ($10) +     ($.50)
        200           2
TC = (5)($10) + (100)($.50) = $50 + $50 = $100

                                                    43
POQ Model

 Answers how much to order and when to
  order
 Allows partial receipt of material
      Other EOQ assumptions apply
 Suited for production environment
      Material produced, used immediately
      Provides production lot size
 Lower holding cost than EOQ model


                                             44
Quantity Discount Model

 Answers how much to order & when to order

 Allows quantity discounts
      Reduced price when item is purchased in
       larger quantities
      Other EOQ assumptions apply
 Trade-off is between lower price & increased
  holding cost


                                                 45
Probabilistic Model

 Answer how much & when to order

 Allow demand to vary
      Follows normal distribution
      Other EOQ assumptions apply
 Consider service level & safety stock
      Service level = 1 - Probability of stockout
      Higher service level means more safety stock

                                                      46
Fixed Period Model

 Answers how much to order
 Orders placed at fixed intervals
      Inventory brought up to target amount
      Amount ordered varies
 No continuous inventory count
      Possibility of stockout between intervals
 Useful when vendors visit routinely
      Example: Paul Mitchell representative calls on
       salon every two weeks
                                                    47

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POM 370 Materials Management

  • 2. Materials Management Importance  Component of cost of goods sold (COGS)  Labor component of COGS declining  Significant increase in cost of materials  Direct  Indirect (overhead) 2
  • 3. Materials Management Enterprise Finished-goods Orders Purchasing Storage Raw-material Customers Storage Suppliers Transformation Distribution Receiving Processes In-process Storage 3
  • 4. Inventory  One of the most expensive assets of many companies representing as much as 50% of total invested capital  Operations managers must balance inventory investment and customer service 4
  • 5. Inventory What is inventory?  Stock of materials  Stored Capacity  Examples: 5
  • 6. Inventory Functions of inventory:  To meet anticipated customer demand  To decouple suppliers – production – distribution  To take advantage of quantity discounts  To hedge against inflation & price increases  To protect against delivery variations  To avoid production disruptions through use of Work-In-Process (WIP) 6
  • 7. Inventory Negative aspects of inventory:  Large inventories hide operational problems  Financial cost in carrying excess inventories  Risk of damage to goods held in inventory  Risk of product obsolescence 7
  • 8. Inventory Types of Inventory:  Raw material  Purchased but not processed  Work-in-process  Undergone some change but not completed  A function of cycle time for a product  Maintenance/repair/operating (MRO)  Necessary to keep machinery and processes productive  Finished goods  Completed product awaiting shipment 8
  • 9. Inventory Examples:  Raw material  Iron ore – steel mill  Flour – bakery  Work-in-process  Radiator – auto manufacturer  Draft contract – attorney 9
  • 10. Inventory Examples:  Maintenance / repair / operating supplies (MRO)  Lubricating oil – machine shop  Soap and shampoo – hotel  Finished goods  Candy bar – confectioner  Policy – insurance company 10
  • 11. Inventory Transformation Process Raw Finished Materials goods Vendors Work in Customers process 11
  • 12. Water Tank Analogy Inventory Level Supply Rate Inventory Level Demand Rate 12
  • 13. ABC Analysis  How inventory items can be classified  How accurate inventory records can be maintained 13
  • 14. ABC Analysis  Divides inventory into three classes based on annual dollar volume  Class A - high annual dollar volume  Class B - medium annual dollar volume  Class C - low annual dollar volume  Used to establish policies that focus on the few critical parts and not the many trivial ones 14
  • 15. ABC Analysis % Annual $ Usage Class % $ Vol % Items 100 A 80 15 B 15 30 80 C 5 55 60 40 A B 20 C 0 0 50 100 % of Inventory Items 15
  • 16. ABC Analysis Percent of Percent of Item Number Annual Annual Annual Stock of Items Volume Unit Dollar Dollar Number Stocked (units) x Cost = Volume Volume Class #10286 20% 1,000 $ 90.00 $ 90,000 38.8% 72% A #11526 500 154.00 77,000 33.2% A #12760 1,550 17.00 26,350 11.3% B #10867 30% 350 42.86 15,001 6.4% 23% B #10500 1,000 12.50 12,500 5.4% B 16
  • 17. ABC Analysis Percent of Percent of Item Number Annual Annual Annual Stock of Items Volume Unit Dollar Dollar Number Stocked (units) x Cost = Volume Volume Class #12572 600 $ 14.17 $ 8,502 3.7% C #14075 2,000 .60 1,200 .5% C #01036 50% 100 8.50 850 .4% 5% C #01307 1,200 .42 504 .2% C #10572 250 .60 150 .1% C 17
  • 18. Percent of annual dollar usage ABC Analysis A Items 80 – 70 – 60 – 50 – 40 – 30 – 20 – B Items 10 – C Items 0 – | | | | | | | | | | 10 20 30 40 50 60 70 80 90 100 Percent of inventory items 18
  • 19. ABC Analysis  Other criteria than annual dollar volume may be used  Key accounts  Anticipated engineering changes  Delivery problems  Quality problems  High unit cost 19
  • 20. ABC Analysis  Policies employed may include  More emphasis on supplier development for A items  Tighter physical inventory control for A items  More care in forecasting A items 20
  • 21. Cycle Counting  Items are counted and records updated on a periodic basis  Often used with ABC analysis to determine cycle 21
  • 22. Cycle Counting  Has several advantages  Eliminates shutdowns and interruptions  Eliminates annual inventory adjustment  Trained personnel audit inventory accuracy  Allows causes of errors to be identified and corrected  Maintains accurate inventory records 22
  • 23. Cycle Counting 5,000 items in inventory, 500 A items, 1,750 B items, 2,750 C items Policy is to count A items every month (20 working days), B items every quarter (60 days), and C items every six months (120 days) Item Number of Items Class Quantity Cycle Counting Policy Counted per Day A 500 Each month 500/20 = 25/day B 1,750 Each quarter 1,750/60 = 29/day C 2,750 Every 6 months 2,750/120 = 23/day 77/day 23
  • 24. Control of Service Inventories  Can be a critical component of profitability  Losses may come from shrinkage or pilferage  Applicable techniques include  Good personnel selection, training, and discipline  Tight control on incoming shipments  Effective control on all goods leaving facility 24
  • 25. Control of Service Inventories  Shrinkage  Unaccounted retail inventory between receipt and sale  Due to damage, theft and sloppy paperwork  Theft also known as pilferage  Accounts for 1% to 3% of sales 25
  • 26. Control of Service Inventories  Controls  Good personnel selection, training, and discipline  Tight control of incoming shipments  Effective control of all goods leaving the facility 26
  • 27. Types of Demand  Independent demand - the demand for item is independent of the demand for any other item in inventory  Refrigerator – goods  Hamburger – services 27
  • 28. Types of Demand  Dependent demand - the demand for item is dependent upon the demand for some other item in the inventory  Ice maker – goods  Ketchup – services 28
  • 29. Materials Costs  Holding costs - associated with holding or “carrying” inventory over time  Setup costs - associated with costs of placing order and receiving goods  Out-of-stock costs - cost of back order and cost of lost sales 29
  • 30. Holding Costs  Obsolescence  Insurance  Extra staffing  Cost of money (opportunity costs)  Pilferage  Damage  Warehousing 30
  • 31. Holding Costs Cost (and Range) as a Percent of Inventory Category Value Housing costs (including rent or depreciation, operating 6% (3 - 10%) costs, taxes, insurance) Material handling costs (equipment lease or 3% (1 - 3.5%) depreciation, power, operating cost) Labor cost 3% (3 - 5%) Investment costs (borrowing costs, taxes, and 11% (6 - 24%) insurance on inventory) Pilferage, space, and obsolescence 3% (2 - 5%) Overall carrying cost 26% 31
  • 32. Setup Cost  Supplies  Forms  Order processing  Clerical support 32
  • 33. Independent Demand Models  Fixed order-quantity models  Economic order quantity (EOQ)  Production order quantity Help answer the Help answer the (POQ) inventory planning inventory planning questions! questions!  Quantity discount  Probabilistic models  Fixed order-period models 33
  • 34. EOQ Model EOQ assumptions:  Known and constant demand  Known and constant lead time  Instantaneous receipt of material  No quantity discounts  Only order (setup) cost and holding cost  No stockouts 34
  • 35. EOQ Model EOQ inventory over time: Order quantity = Q Usage Rate (maximum Average inventory level) Inventory (Q*/2) Inventory Level Minimum inventory 0 Time 35
  • 36. EOQ Model EOQ Order Quantity: Annual Cost ve os t Cur Total C Curv e t Minimum Cos total cost Ho lding Order (Setup) Cost Curve Optimal Order quantity Order Quantity (Q*) 36
  • 37. D Annual setup cost = S Q EOQ Model Q = Number of pieces per order Q* = Optimal number of pieces per order (EOQ) D = Annual demand in units for the Inventory item S = Setup or ordering cost for each order H = Holding or carrying cost per unit per year Annual setup cost = (Number of orders placed per year) x (Setup or order cost per order) Annual demand Setup or order = Number of units in each order cost per order D (S) = Q 37
  • 38. D Annual setup cost = S Q EOQ Model Annual holding cost = Q H 2 Q = Number of pieces per order Q* = Optimal number of pieces per order (EOQ) D = Annual demand in units for the Inventory item S = Setup or ordering cost for each order H = Holding or carrying cost per unit per year Annual holding cost = (Average inventory level) x (Holding cost per unit per year) Order quantity = (Holding cost per unit per year) 2 Q = (H) 2 38
  • 39. EOQ Model Q = Number of pieces per order Q* = Optimal number of pieces per order (EOQ) D = Annual demand in units for the Inventory item S = Setup or ordering cost for each order H = Holding or carrying cost per unit per year Optimal order quantity is found when annual setup cost equals annual holding cost D Q S = H Q 2 Solving for Q* 2DS = Q2H Q2 = 2DS/H Q* = 2DS/H 39
  • 40. EOQ Model - Example Determine optimal number of needles to order D = 1,000 units S = $10 per order H = $.50 per unit per year 2DS Q* = H 2(1,000)(10) Q* = = 40,000 = 200 units 0.50 40
  • 41. EOQ Model - Example Determine optimal number of needles to order D = 1,000 units Q* = 200 units S = $10 per order H = $.50 per unit per year Expected Demand D number of = N = = orders Order quantity Q* 1,000 N= = 5 orders per year 200 41
  • 42. EOQ Model - Example Determine optimal number of needles to order D = 1,000 units Q* = 200 units S = $10 per order N = 5 orders per year H = $.50 per unit per year Number of working Expected days per year time between = T = orders N 250 T= = 50 days between orders 5 42
  • 43. EOQ Model - Example Determine optimal number of needles to order D = 1,000 units Q* = 200 units S = $10 per order N = 5 orders per year H = $.50 per unit per year T = 50 days Total annual cost = Setup cost + Holding cost D Q TC = S + H Q 2 1,000 200 TC = ($10) + ($.50) 200 2 TC = (5)($10) + (100)($.50) = $50 + $50 = $100 43
  • 44. POQ Model  Answers how much to order and when to order  Allows partial receipt of material  Other EOQ assumptions apply  Suited for production environment  Material produced, used immediately  Provides production lot size  Lower holding cost than EOQ model 44
  • 45. Quantity Discount Model  Answers how much to order & when to order  Allows quantity discounts  Reduced price when item is purchased in larger quantities  Other EOQ assumptions apply  Trade-off is between lower price & increased holding cost 45
  • 46. Probabilistic Model  Answer how much & when to order  Allow demand to vary  Follows normal distribution  Other EOQ assumptions apply  Consider service level & safety stock  Service level = 1 - Probability of stockout  Higher service level means more safety stock 46
  • 47. Fixed Period Model  Answers how much to order  Orders placed at fixed intervals  Inventory brought up to target amount  Amount ordered varies  No continuous inventory count  Possibility of stockout between intervals  Useful when vendors visit routinely  Example: Paul Mitchell representative calls on salon every two weeks 47

Editor's Notes

  1. More info on slides then normal