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Location
PlanningOperations Management (11th
Edition) William J. Stevenson
NATURE OF LOCATION
DECISION
The Strategic Importance of
Location
 One of the most important decisions a firm makes
 Increasingly global in nature
 Significant impact on fixed and variable costs
 Decisions made relatively infrequently
 Long-term decisions
 Once committed to a location, many resource and
cost issues are difficult to change
The objective of location
strategy is to MAXIMIZE the
benefit of location to the firm.
Location Options include:
Expanding existing facilities
Maintain existing and add sites
Closing existing and relocating
Decide on the criteria
Identify the important factors
Develop location alternatives
Evaluate the alternatives
• Identify general region
• Identify a small number of community
alternatives
• Identify site alternatives
Evaluate and make selection
Making Location
Decisions
Location and Costs
 Location decisions based on low cost require
careful consideration
 Once in place, location-related costs are fixed in
place and difficult to reduce
 Determining optimal facility location is a good
investment
 “Invented” overnight delivery.
 Uses “hub” concept.
 Enables service to more locations with fewer aircraft.
 Concentrates package flows to exploit transportation
economies of scale.
 Enables sorting economies of scale.
 Key issue: Where to locate hubs??
Industrial Location Decisions
 COST focused.
• Revenue varies little between locations.
 Production separate from consumption.
 Location is major cost factor.
• Costs vary greatly between locations.
 Shipping costs.
 Production costs (e.g., labor).
Service Location Decisions
 REVENUE focus.
 Costs vary little between market areas.
 Production/service together with consumption.
 Location is a major revenue factor.
 Affects amount of customer contact.
 Affects volume of business.
Organizations That Locate
Close to Markets/Customers
Government agencies.
• Police & fire departments, post offices, public
libraries.
Retail sales and Services.
• Fast food restaurants, supermarkets, gas stations.
• Doctors, lawyers, barbers, banks, auto repair, etc.
When transporting finished goods is more
expensive than transporting materials.
• Bottling plants, breweries.
• Electricity production.
Organizations That Locate
Close to Suppliers or
Materials
By necessity.
• Mining, fishing, farming, etc.
When transporting materials is more expensive
than transporting finished goods.
• Perishable raw materials. (Seafood processing.)
• Heavy or bulky raw materials. (Steel producers.)
• Processing reduces bulk. (Lumber mills, paper
production.)
Location Decision Factors
Regional
Site-related
Factors
Multiple Plant
Strategies
Community
Considerations
Factors Affecting Country
Decision
 Government rules, attitudes, stability,
incentives.
 Labor availability, attitudes, productivity, cost.
 Availability of supplies, communications,
energy.
 Culture & economy.
 Location of markets.
 Exchange rate.
Ranking of the Business
Environment in 20 Countries,
2015 (Forbes)
1. Denmark
2. New Zealand
3. Norway
4. Ireland
5. Sweden
6. Finland
7. Canada
8. Singapore
9. Netherlands
10. United Kingdom
11. Hong Kong
12. Switzerland
13. Iceland
14. Australia
15. Belgium
16. Portugal
17. Lithuania
18. Germany
19. Estonia
20. Slovenia
Factors Affecting
Region/Community Decision
• Attractiveness of region (culture, taxes,
climate, etc.).
• Labor availability, costs, attitudes towards
unions.
• Environmental regulations of state and town.
• Proximity to customers & suppliers.
• Corporate desires.
• Costs and availability of utilities.
• Government incentives.
• Land/construction costs.
Factors Affecting Site
Decision
• Access to air, rail, highway, and waterway
systems.
• Proximity to needed services/supplies.
• Site size and cost.
• Zoning restrictions.
• Environmental impact issues.
.
 Product plant strategy
 Market area plant strategy
 Process plant strategy
Multiple Plant Strategies
Trends in Locations
Foreign producers locating in U.S.
Made in USA”
urrency fluctuations
Just-in-time manufacturing techniques
Microfactories
Information Technology
Location Decision Example -
BMW
In 1992, BMW decided to build
its first major manufacturing
plant outside Germany in
Spartanburg, South Carolina.
Country Decision - BMW
Market location.
U.S. is world’s largest luxury car market & is
growing.
Labor.
U.S. has lower manufacturing labor costs.
$17/hr. (U.S.) vs. $27 (Germany).
U.S. may have higher labor productivity.
11 holidays (U.S.) vs. 31 (Germany).
Other.
Lower shipping cost ($2,500/car less).
New plant & equipment would increase productivity
(lower cost/car $2,000-3000).
Region/Community Decision -
BMW
Labor.
Lower wages in South Carolina (SC).
About $17,000/yr in SC vs. $27,051/yr in U.S.
(based on 1993).
Government incentives.
$135 million in state & local tax breaks.
Free-trade zone from airport to plant.
No duties on imported components or on exported
cars.
Global Locations
Facilitating Factors
• Trade agreements
• Technology
Benefits
• Markets
• Cost savings
• Legal and regulatory
• Financial
Globalization
Disadvantages
• Transportation costs
• Security
• Unskilled labor
• Import restrictions
• Criticisms
Risks
• Political
• Terrorism
• Legal
• Cultural
Evaluating Locations
Cost-Profit-Volume Analysis
• Determine fixed and variable costs
• Plot total costs
• Determine lowest total costs
Location Cost-Volume Analysis
Assumptions
• Fixed costs are constant
• Variable costs are linear
• Output can be closely estimated
• Only one product involved
Example 1: Cost-Volume Analysis
Fixed and variable costs for
four (4) potential locations
L o c a t i o n F i x e d
C o s t
V a r i a b l e
C o s t
A
B
C
D
$ 2 5 0 , 0 0 0
1 0 0 , 0 0 0
1 5 0 , 0 0 0
2 0 0 , 0 0 0
$ 1 1
3 0
2 0
3 5
Example 1: Solution
F ix e d
C o s t s
V a r ia b le
C o s t s
T o ta l
C o s t s
A
B
C
D
$ 2 5 0 ,0 0 0
1 0 0 ,0 0 0
1 5 0 ,0 0 0
2 0 0 ,0 0 0
$ 1 1 ( 1 0 ,0 0 0 )
3 0 ( 1 0 ,0 0 0 )
2 0 ( 1 0 ,0 0 0 )
3 5 ( 1 0 ,0 0 0 )
$ 3 6 0 , 0 0 0
4 0 0 , 0 0 0
3 5 0 , 0 0 0
5 5 0 , 0 0 0
Example 1: Solution
800
700
600
500
400
300
200
100
0
Annual Output (000)
$(000)
8 10 12 14 166420
A
B
C
B Superior
C Superior
A Superior
D
Location Evaluation Methods
1. Factor-rating method.
2. Locational break-even
analysis.
3. Center of gravity method.
4. Transportation model.
Factor-Rating Method
Most widely used location technique.
Useful for service & industrial locations.
Rates locations using factors. Decision based on
quantitative and qualitative inputs.
• Intangible (qualitative) factors.
Example: Education quality, labor skills.
• Tangible (quantitative) factors.
Example: Short-run & long-run costs.
Based on weighted average.
Steps in Factor Rating
Method
• List relevant factors.
• Assign importance weight to each factor (0-
1).
• Make weights sum to one.
• Set a scale for scoring each factor (1-10 or 1-
100).
• Score each location using factor scale.
• Multiply scores by weights for each factor &
sum.
• Select location with maximum total score.
• Consider sensitivity to weights and scores.
Factors Affecting Location
 Labor costs and availability, including wages,
productivity, attitudes, age, distribution,
unionization, and skills.
 Site costs, including land cost, parking,
drainage, expansion opportunities, etc.
 Proximity to raw materials and suppliers.
 Proximity to markets.
 State and local government fiscal policies
(including incentives, taxes, unemployment
compensation).
Factors Affecting Location -
continued
Utilities, including availability and costs.
Transportation availability (road, rail, air,
water, pipeline).
Quality-of-life issues (education, cost of living,
health care, sports, cultural activities, housing,
entertainment, religious facilities, etc.).
Foreign exchange, including rates and
stability.
Government, including stability, honesty,
attitudes toward new business, etc.
Factor Rating Example
Three locations: A, B and C; Four factors.
1. Assign weights to each factor.
2. Score each location on each factor.
3. Multiply the weight and score and sum for each
location.
Factor weight A B C
Cost 0.3
Proximity to trans. 0.2
Taxes 0.1
Labor 0.4
Factor Rating Example
Factor weight A B C
Cost 0.3 10 9 7
Proximity to trans. 0.2 7 3 10
Taxes 0.1 7 5 10
Labor 0.4 6 8 5
7.5 7 7.1
Three locations: A, B and C; Four factors.
A is best; B and C are
similar.Note that if the labor score for A was 5, not 6, then all
locations are similar.
Locational Break-Even Analysis
Cost-volume analysis used for location.
Steps:
• Determine fixed & variable costs for each
location.
• Find break-even point.
• Plot cost for each location.
• Select location with lowest total cost for
expected production volume.
Must be above break-even.
Locational Break-Even
Analysis Example
You’re an analyst for AC Delco. You’re
considering a new manufacturing plant
in Akron, Bowling Green, or Chicago.
Fixed costs per year are $30k, $60k, &
$110k respectively. Variable costs per
case are $75, $45, & $25 respectively.
The price per case is $120.
What is the best location for an
expected volume of 2,000 cases per
year?
Locational Break-Even
Analysis Example
A=Akron: Total Cost = TC = 30000 +
75x
B=Bowling Green: Total Cost = TC =
60000 + 45x
C=Chicago: Total Cost = TC =
110000 + 25x
For all: Total Revenue = TR =
120x
At x=2000 cases/year:
B is
Best
Locational Break-Even
Analysis Example
You’re an analyst for AC Delco. You’re
considering a new manufacturing plant in
Akron, Bowling Green, or Chicago. Fixed
costs per year are $30k, $60k, & $110k
respectively. Variable costs per case are $75,
$45, & $25 respectively. The price per case is
$120.
Over what range of output is each location
preferred?
Locational Break-Even
Analysis Example
A=Akron: TC = 30000 + 75x
B=Bowling Green: TC = 60000 + 45x
C=Chicago: TC = 110000 + 25x
A is best at x=0.
A < B for x < 1000/yr and A < C for x < 1600/yr,
so
A is best over range 0<x<1000/yr.
B < C for x < 2500/yr so,
B is best over range 1000<x<2500/yr.
Locational Crossover Chart
0
50,000
100,000
150,000
200,000
0 500 1000 1500 2000 2500 3000
Volume
$
Akron
Chicago
Bowling Green
Akron lowest
cost
Bowling Green
lowest cost
Chicago
lowest cost
Locational Crossover Chart
0
50,000
100,000
150,000
200,000
0 500 1000 1500 2000 2500 3000
Volume
$
Akron
Revenue
Chicago
Bowling Green
Akron lowest
cost
Bowling Green
lowest cost
Chicago
lowest cost
Locational Break-Even
Analysis Example
A is unprofitable for low volumes.
Use break-even analysis with A to find
break-even point = 666.67/yr.
A is best and profitable over range 666.67<x<1000/yr.
B is best and profitable over range 1000<x<2500/yr.
C is best and profitable over range 2500/yr < x.
Center of Gravity Method
Decision based on minimum distribution costs
Finds location of single facility serving several
destinations.
Used for services and distribution centers.
Requires:
• Location of existing destinations (Markets,
retailers etc.)
• Volume to be shipped.
• Shipping distance (or cost).
Center of Gravity Method
Steps
Find X and Y coordinates for all destinations.
Can use an arbitrary coordinate grid.
Calculate center of gravity location for facility as
weighted average of X & Y coordinates.
Approximately minimizes transportation cost.
Location is not necessarily optimal, but is
usually close.
Center of Gravity Method
Equations
ddixix = x coordinate of= x coordinate of
location ilocation i
WWii == Volume of goodsVolume of goods
moved to or frommoved to or from
location ilocation i
ddiyiy = y coordinate of= y coordinate of
location ilocation i
X CoordinateX Coordinate
YY CoordinateCoordinate
∑
∑
=
i
i
i
iix
x
W
Wd
C
∑
∑
=
i
i
i
iiy
y
W
Wd
C
Center of Gravity Example
Location Volume
Chicago 200
Pittsburgh 100
New York 100
Atlanta 200
Given 4 cities with volume demanded and (x,y) coordinates.
Find location for one warehouse to minimize total distance
to supply these cities.
Chicago (30,120)
New York (130,130)
Pittsburgh (90,110)
Atlanta (60,40)
0 12060
60
120
0
Center of Gravity Example
Location Volume X-Coordinate Y-Coordinate
Chicago 200 30 120
Pittsburgh 100 90 110
New York 100 130 130
Atlanta 200 60 40
X coordinate of warehouse:
Cx=(200x30+100x90+100x130+200x60)/(200+100+100+200) = 66.7
Y coordinate of warehouse:
Cy=(200x120+100x110+100x130+200x40)/(200+100+100+200) = 93.3
Center of Gravity Example
Location Volume
Chicago 2000
Pittsburgh 1000
New York 1000
Atlanta 2000
Chicago (30,120)
New York (130,130)
Pittsburgh (90,110)
Atlanta (60,40)
0 12060
60
120
0
X
Center of gravity = (66.7, 93.3)
Transportation Model
Decision based on movement costs of raw materials or
finished goods
Finds amount to be shipped from several sources to several
destinations.
Used primarily for industrial locations.
Type of linear programming model.
Objective: Minimize total production & shipping costs.
Constraints:
Production capacities at sources (factories).
Demand requirements at destinations.
Transportation Model
Example
Atlanta
Chicago
St. Louis
London
From To Cost per unit
flow
Chicago London $40
Chicago St. Louis
$10
St. Louis Chicago
$8
St. Louis Atlanta
$20
Atlanta London $35
Supply is in green
Demand is in red
800
500
300
200
900
300
1000
Transportation Model
Example
xij = Flow from origin i to destination j.
Objective is minimize cost for all flows.
Constraints for supply at each origin (3) and
demand at each destination (4).
Atlanta 300
Chicago 500
900 Atlanta
800 Chicago
300 St. Louis
London 1000
St. Louis 200
Supply
Demand
$40
$10
$20
$8
$35
$1
$1
$1
Integer Programming for
Locationx1 = 1 if a warehouse is located at Boston; 0 otherwise.
x2 = 1 if a warehouse is located at Hartford; 0 otherwise.
x3 = 1 if a warehouse is located at Albany; 0 otherwise.
♦ Minimize the cost to locate warehouses:
Minimize C1 x1 + C2 x2 + C3 x3
♦ At most two warehouses can be opened:
x1 + x2 + x3 ≤ 2
♦ Either Boston or Hartford should have a warehouse:
x1 + x2 ≤ 1
Location for Service
Organizations
Focus on Revenue and Volume of Business,
which are determined by:
Purchasing power and demographics of customer
drawing area.
Competition in the area (amount and quality).
Relative attractiveness of the firm’s and
competitor’s locations.
• Uniqueness of location and offerings.
• Physical qualities of facilities and neighboring
businesses.
• Operating policies and quality of management.
Service vs. Industrial
LocationSERVICE LOCATION
Techniques
Regression models to determine
importance of different factors.
Factor rating.
Traffic counts & demographic analysis
of drawing area.
Center of gravity.
Assumptions
Location is major determinate of
revenue.
High customer contact issues
dominate.
Costs are relatively constant for a given
area.
INDUSTRIAL LOCATION
Techniques
Linear and Integer Programming
(Transportation method).
Factor rating.
Breakeven and crossover analysis.
Center of gravity.
Assumptions
Location is major determinate of
cost.
Costs can be identified for each site.
Low customer contact allows focus
on costs.
Intangible costs can be objectively
evaluated.
Telemarketing and Internet
Industries
Require neither face-to-face contact with
customers (or employees) nor movement of
material.
Keys are:
• Labor costs and productivity.
• Information systems infrastructure (including
training and management).
• Government incentives (including taxes).
Geographic Information
Systems - GIS
New tool to help in location analysis.
Combines spatial (locational) data and attribute
data (for example, demographics).
Uses spatial analyses to identify best or
satisfactory locations.
Allows intuitive graphical display using maps.

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Location Planning and Analysis

  • 3. The Strategic Importance of Location  One of the most important decisions a firm makes  Increasingly global in nature  Significant impact on fixed and variable costs  Decisions made relatively infrequently  Long-term decisions  Once committed to a location, many resource and cost issues are difficult to change
  • 4. The objective of location strategy is to MAXIMIZE the benefit of location to the firm.
  • 5. Location Options include: Expanding existing facilities Maintain existing and add sites Closing existing and relocating
  • 6. Decide on the criteria Identify the important factors Develop location alternatives Evaluate the alternatives • Identify general region • Identify a small number of community alternatives • Identify site alternatives Evaluate and make selection Making Location Decisions
  • 7. Location and Costs  Location decisions based on low cost require careful consideration  Once in place, location-related costs are fixed in place and difficult to reduce  Determining optimal facility location is a good investment
  • 8.  “Invented” overnight delivery.  Uses “hub” concept.  Enables service to more locations with fewer aircraft.  Concentrates package flows to exploit transportation economies of scale.  Enables sorting economies of scale.  Key issue: Where to locate hubs??
  • 9. Industrial Location Decisions  COST focused. • Revenue varies little between locations.  Production separate from consumption.  Location is major cost factor. • Costs vary greatly between locations.  Shipping costs.  Production costs (e.g., labor).
  • 10. Service Location Decisions  REVENUE focus.  Costs vary little between market areas.  Production/service together with consumption.  Location is a major revenue factor.  Affects amount of customer contact.  Affects volume of business.
  • 11. Organizations That Locate Close to Markets/Customers Government agencies. • Police & fire departments, post offices, public libraries. Retail sales and Services. • Fast food restaurants, supermarkets, gas stations. • Doctors, lawyers, barbers, banks, auto repair, etc. When transporting finished goods is more expensive than transporting materials. • Bottling plants, breweries. • Electricity production.
  • 12. Organizations That Locate Close to Suppliers or Materials By necessity. • Mining, fishing, farming, etc. When transporting materials is more expensive than transporting finished goods. • Perishable raw materials. (Seafood processing.) • Heavy or bulky raw materials. (Steel producers.) • Processing reduces bulk. (Lumber mills, paper production.)
  • 13. Location Decision Factors Regional Site-related Factors Multiple Plant Strategies Community Considerations
  • 14. Factors Affecting Country Decision  Government rules, attitudes, stability, incentives.  Labor availability, attitudes, productivity, cost.  Availability of supplies, communications, energy.  Culture & economy.  Location of markets.  Exchange rate.
  • 15. Ranking of the Business Environment in 20 Countries, 2015 (Forbes) 1. Denmark 2. New Zealand 3. Norway 4. Ireland 5. Sweden 6. Finland 7. Canada 8. Singapore 9. Netherlands 10. United Kingdom 11. Hong Kong 12. Switzerland 13. Iceland 14. Australia 15. Belgium 16. Portugal 17. Lithuania 18. Germany 19. Estonia 20. Slovenia
  • 16. Factors Affecting Region/Community Decision • Attractiveness of region (culture, taxes, climate, etc.). • Labor availability, costs, attitudes towards unions. • Environmental regulations of state and town. • Proximity to customers & suppliers. • Corporate desires. • Costs and availability of utilities. • Government incentives. • Land/construction costs.
  • 17. Factors Affecting Site Decision • Access to air, rail, highway, and waterway systems. • Proximity to needed services/supplies. • Site size and cost. • Zoning restrictions. • Environmental impact issues. .
  • 18.  Product plant strategy  Market area plant strategy  Process plant strategy Multiple Plant Strategies
  • 19. Trends in Locations Foreign producers locating in U.S. Made in USA” urrency fluctuations Just-in-time manufacturing techniques Microfactories Information Technology
  • 20. Location Decision Example - BMW In 1992, BMW decided to build its first major manufacturing plant outside Germany in Spartanburg, South Carolina.
  • 21. Country Decision - BMW Market location. U.S. is world’s largest luxury car market & is growing. Labor. U.S. has lower manufacturing labor costs. $17/hr. (U.S.) vs. $27 (Germany). U.S. may have higher labor productivity. 11 holidays (U.S.) vs. 31 (Germany). Other. Lower shipping cost ($2,500/car less). New plant & equipment would increase productivity (lower cost/car $2,000-3000).
  • 22. Region/Community Decision - BMW Labor. Lower wages in South Carolina (SC). About $17,000/yr in SC vs. $27,051/yr in U.S. (based on 1993). Government incentives. $135 million in state & local tax breaks. Free-trade zone from airport to plant. No duties on imported components or on exported cars.
  • 24. Facilitating Factors • Trade agreements • Technology Benefits • Markets • Cost savings • Legal and regulatory • Financial
  • 25. Globalization Disadvantages • Transportation costs • Security • Unskilled labor • Import restrictions • Criticisms Risks • Political • Terrorism • Legal • Cultural
  • 26.
  • 27. Evaluating Locations Cost-Profit-Volume Analysis • Determine fixed and variable costs • Plot total costs • Determine lowest total costs
  • 28. Location Cost-Volume Analysis Assumptions • Fixed costs are constant • Variable costs are linear • Output can be closely estimated • Only one product involved
  • 29. Example 1: Cost-Volume Analysis Fixed and variable costs for four (4) potential locations L o c a t i o n F i x e d C o s t V a r i a b l e C o s t A B C D $ 2 5 0 , 0 0 0 1 0 0 , 0 0 0 1 5 0 , 0 0 0 2 0 0 , 0 0 0 $ 1 1 3 0 2 0 3 5
  • 30. Example 1: Solution F ix e d C o s t s V a r ia b le C o s t s T o ta l C o s t s A B C D $ 2 5 0 ,0 0 0 1 0 0 ,0 0 0 1 5 0 ,0 0 0 2 0 0 ,0 0 0 $ 1 1 ( 1 0 ,0 0 0 ) 3 0 ( 1 0 ,0 0 0 ) 2 0 ( 1 0 ,0 0 0 ) 3 5 ( 1 0 ,0 0 0 ) $ 3 6 0 , 0 0 0 4 0 0 , 0 0 0 3 5 0 , 0 0 0 5 5 0 , 0 0 0
  • 31. Example 1: Solution 800 700 600 500 400 300 200 100 0 Annual Output (000) $(000) 8 10 12 14 166420 A B C B Superior C Superior A Superior D
  • 32. Location Evaluation Methods 1. Factor-rating method. 2. Locational break-even analysis. 3. Center of gravity method. 4. Transportation model.
  • 33. Factor-Rating Method Most widely used location technique. Useful for service & industrial locations. Rates locations using factors. Decision based on quantitative and qualitative inputs. • Intangible (qualitative) factors. Example: Education quality, labor skills. • Tangible (quantitative) factors. Example: Short-run & long-run costs. Based on weighted average.
  • 34. Steps in Factor Rating Method • List relevant factors. • Assign importance weight to each factor (0- 1). • Make weights sum to one. • Set a scale for scoring each factor (1-10 or 1- 100). • Score each location using factor scale. • Multiply scores by weights for each factor & sum. • Select location with maximum total score. • Consider sensitivity to weights and scores.
  • 35. Factors Affecting Location  Labor costs and availability, including wages, productivity, attitudes, age, distribution, unionization, and skills.  Site costs, including land cost, parking, drainage, expansion opportunities, etc.  Proximity to raw materials and suppliers.  Proximity to markets.  State and local government fiscal policies (including incentives, taxes, unemployment compensation).
  • 36. Factors Affecting Location - continued Utilities, including availability and costs. Transportation availability (road, rail, air, water, pipeline). Quality-of-life issues (education, cost of living, health care, sports, cultural activities, housing, entertainment, religious facilities, etc.). Foreign exchange, including rates and stability. Government, including stability, honesty, attitudes toward new business, etc.
  • 37. Factor Rating Example Three locations: A, B and C; Four factors. 1. Assign weights to each factor. 2. Score each location on each factor. 3. Multiply the weight and score and sum for each location. Factor weight A B C Cost 0.3 Proximity to trans. 0.2 Taxes 0.1 Labor 0.4
  • 38. Factor Rating Example Factor weight A B C Cost 0.3 10 9 7 Proximity to trans. 0.2 7 3 10 Taxes 0.1 7 5 10 Labor 0.4 6 8 5 7.5 7 7.1 Three locations: A, B and C; Four factors. A is best; B and C are similar.Note that if the labor score for A was 5, not 6, then all locations are similar.
  • 39. Locational Break-Even Analysis Cost-volume analysis used for location. Steps: • Determine fixed & variable costs for each location. • Find break-even point. • Plot cost for each location. • Select location with lowest total cost for expected production volume. Must be above break-even.
  • 40. Locational Break-Even Analysis Example You’re an analyst for AC Delco. You’re considering a new manufacturing plant in Akron, Bowling Green, or Chicago. Fixed costs per year are $30k, $60k, & $110k respectively. Variable costs per case are $75, $45, & $25 respectively. The price per case is $120. What is the best location for an expected volume of 2,000 cases per year?
  • 41. Locational Break-Even Analysis Example A=Akron: Total Cost = TC = 30000 + 75x B=Bowling Green: Total Cost = TC = 60000 + 45x C=Chicago: Total Cost = TC = 110000 + 25x For all: Total Revenue = TR = 120x At x=2000 cases/year: B is Best
  • 42. Locational Break-Even Analysis Example You’re an analyst for AC Delco. You’re considering a new manufacturing plant in Akron, Bowling Green, or Chicago. Fixed costs per year are $30k, $60k, & $110k respectively. Variable costs per case are $75, $45, & $25 respectively. The price per case is $120. Over what range of output is each location preferred?
  • 43. Locational Break-Even Analysis Example A=Akron: TC = 30000 + 75x B=Bowling Green: TC = 60000 + 45x C=Chicago: TC = 110000 + 25x A is best at x=0. A < B for x < 1000/yr and A < C for x < 1600/yr, so A is best over range 0<x<1000/yr. B < C for x < 2500/yr so, B is best over range 1000<x<2500/yr.
  • 44. Locational Crossover Chart 0 50,000 100,000 150,000 200,000 0 500 1000 1500 2000 2500 3000 Volume $ Akron Chicago Bowling Green Akron lowest cost Bowling Green lowest cost Chicago lowest cost
  • 45. Locational Crossover Chart 0 50,000 100,000 150,000 200,000 0 500 1000 1500 2000 2500 3000 Volume $ Akron Revenue Chicago Bowling Green Akron lowest cost Bowling Green lowest cost Chicago lowest cost
  • 46. Locational Break-Even Analysis Example A is unprofitable for low volumes. Use break-even analysis with A to find break-even point = 666.67/yr. A is best and profitable over range 666.67<x<1000/yr. B is best and profitable over range 1000<x<2500/yr. C is best and profitable over range 2500/yr < x.
  • 47. Center of Gravity Method Decision based on minimum distribution costs Finds location of single facility serving several destinations. Used for services and distribution centers. Requires: • Location of existing destinations (Markets, retailers etc.) • Volume to be shipped. • Shipping distance (or cost).
  • 48. Center of Gravity Method Steps Find X and Y coordinates for all destinations. Can use an arbitrary coordinate grid. Calculate center of gravity location for facility as weighted average of X & Y coordinates. Approximately minimizes transportation cost. Location is not necessarily optimal, but is usually close.
  • 49. Center of Gravity Method Equations ddixix = x coordinate of= x coordinate of location ilocation i WWii == Volume of goodsVolume of goods moved to or frommoved to or from location ilocation i ddiyiy = y coordinate of= y coordinate of location ilocation i X CoordinateX Coordinate YY CoordinateCoordinate ∑ ∑ = i i i iix x W Wd C ∑ ∑ = i i i iiy y W Wd C
  • 50. Center of Gravity Example Location Volume Chicago 200 Pittsburgh 100 New York 100 Atlanta 200 Given 4 cities with volume demanded and (x,y) coordinates. Find location for one warehouse to minimize total distance to supply these cities. Chicago (30,120) New York (130,130) Pittsburgh (90,110) Atlanta (60,40) 0 12060 60 120 0
  • 51. Center of Gravity Example Location Volume X-Coordinate Y-Coordinate Chicago 200 30 120 Pittsburgh 100 90 110 New York 100 130 130 Atlanta 200 60 40 X coordinate of warehouse: Cx=(200x30+100x90+100x130+200x60)/(200+100+100+200) = 66.7 Y coordinate of warehouse: Cy=(200x120+100x110+100x130+200x40)/(200+100+100+200) = 93.3
  • 52. Center of Gravity Example Location Volume Chicago 2000 Pittsburgh 1000 New York 1000 Atlanta 2000 Chicago (30,120) New York (130,130) Pittsburgh (90,110) Atlanta (60,40) 0 12060 60 120 0 X Center of gravity = (66.7, 93.3)
  • 53. Transportation Model Decision based on movement costs of raw materials or finished goods Finds amount to be shipped from several sources to several destinations. Used primarily for industrial locations. Type of linear programming model. Objective: Minimize total production & shipping costs. Constraints: Production capacities at sources (factories). Demand requirements at destinations.
  • 54. Transportation Model Example Atlanta Chicago St. Louis London From To Cost per unit flow Chicago London $40 Chicago St. Louis $10 St. Louis Chicago $8 St. Louis Atlanta $20 Atlanta London $35 Supply is in green Demand is in red 800 500 300 200 900 300 1000
  • 55. Transportation Model Example xij = Flow from origin i to destination j. Objective is minimize cost for all flows. Constraints for supply at each origin (3) and demand at each destination (4). Atlanta 300 Chicago 500 900 Atlanta 800 Chicago 300 St. Louis London 1000 St. Louis 200 Supply Demand $40 $10 $20 $8 $35 $1 $1 $1
  • 56. Integer Programming for Locationx1 = 1 if a warehouse is located at Boston; 0 otherwise. x2 = 1 if a warehouse is located at Hartford; 0 otherwise. x3 = 1 if a warehouse is located at Albany; 0 otherwise. ♦ Minimize the cost to locate warehouses: Minimize C1 x1 + C2 x2 + C3 x3 ♦ At most two warehouses can be opened: x1 + x2 + x3 ≤ 2 ♦ Either Boston or Hartford should have a warehouse: x1 + x2 ≤ 1
  • 57. Location for Service Organizations Focus on Revenue and Volume of Business, which are determined by: Purchasing power and demographics of customer drawing area. Competition in the area (amount and quality). Relative attractiveness of the firm’s and competitor’s locations. • Uniqueness of location and offerings. • Physical qualities of facilities and neighboring businesses. • Operating policies and quality of management.
  • 58. Service vs. Industrial LocationSERVICE LOCATION Techniques Regression models to determine importance of different factors. Factor rating. Traffic counts & demographic analysis of drawing area. Center of gravity. Assumptions Location is major determinate of revenue. High customer contact issues dominate. Costs are relatively constant for a given area. INDUSTRIAL LOCATION Techniques Linear and Integer Programming (Transportation method). Factor rating. Breakeven and crossover analysis. Center of gravity. Assumptions Location is major determinate of cost. Costs can be identified for each site. Low customer contact allows focus on costs. Intangible costs can be objectively evaluated.
  • 59. Telemarketing and Internet Industries Require neither face-to-face contact with customers (or employees) nor movement of material. Keys are: • Labor costs and productivity. • Information systems infrastructure (including training and management). • Government incentives (including taxes).
  • 60. Geographic Information Systems - GIS New tool to help in location analysis. Combines spatial (locational) data and attribute data (for example, demographics). Uses spatial analyses to identify best or satisfactory locations. Allows intuitive graphical display using maps.

Editor's Notes

  1. Students should be asked to suggest why the “hub” concept provides the advantages noted. They should also be asked to consider the limitations of the hub concept.
  2. It is helpful to begin this discussion by asking students how and under what conditions location impacts costs and revenues. Once they have begun to consider these issues, then the decision for industrial or service organizations can be explored.
  3. This and the following slide suggest organizations which need to be physically close to their markets
  4. This and the following slide suggest organizations which need to be physically close to their markets
  5. Students, especially those from other countries, should be able to contribute significantly to a discussion of factors affecting one’s choice of country.
  6. Discussion of this slide might include comments on the impact of information technology on the priorities attached to the factors listed.
  7. What impact does the increasing rate of environmental change have on a firm’s site choice? For example, would one build a single site, or a collection of sites which might be tied together by technology? Does one have to choose a site near desired services, or can these services often be secured through technology?
  8. BMW’s decisions
  9. This slide can be used to frame a discussion of methods to evaluate location decisions.
  10. This technique might be viewed as an extension of the Critical Success Factors methodology where the factors are weighted and rated.
  11. One way to derive an example of this technique is to ask students to identify the factors which caused them to select your particular college or university, and work through the appropriate analysis.
  12. Basically breakeven where costs depend upon location.
  13. An example
  14. An example
  15. An example
  16. An example
  17. Graphical solution to the example
  18. Graphical solution to the example
  19. An example
  20. This is a good point at which to raise the issue of choosing a decision methodology. Point out to students that the Center of Gravity method is helpful in a limited number of situations (where geography and transportation costs are important?)- where the critical factor methodology is more general. (but the critical factor method is more qualitative)
  21. Again, this method, while quantitative, is unable to handle many of the important factors.
  22. This slide makes the distinction between an industrial and a service organization. Students may be asked to cite examples for each of the qualities listed.
  23. Given the significant impact of the World Wide Web, this slide should be discussed in detail.