location theories
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INDUSTRIAL LOCATION THEORY
• Raw material• Market• Labor• Energy• “Break-of-bulk” point
The location of the manufacturing stage is based on its “orientation.”
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FACTOR-RATING METHOD
Popular because a wide variety of factors can be included in the analysis
Six steps in the method1. Develop a list of relevant factors called critical success factors2. Assign a weight to each factor3. Develop a scale for each factor4. Score each location for each factor5. Multiply score by weights for each factor for each location6. Recommend the location with the highest point score
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FACTOR-RATING EXAMPLE
Critical ScoresSuccess (out of 100) Weighted ScoresFactor Weight France Denmark France Denmark
Labor availability and attitude .25 70 60 (.25)(70) = 17.5 (.25)(60) = 15.0People-to- car ratio .05 50 60 (.05)(50) = 2.5 (.05)(60) = 3.0Per capita income .10 85 80 (.10)(85) = 8.5 (.10)(80) = 8.0Tax structure .39 75 70 (.39)(75) = 29.3 (.39)(70) = 27.3Education and health .21 60 70 (.21)(60) = 12.6 (.21)(70) = 14.7
Totals 1.00 70.4 68.0
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LOCATIONAL BREAK-EVEN ANALYSIS
Method of cost-volume analysis used for industrial locations
Three steps in the method1. Determine fixed and variable costs for each location
2. Plot the cost for each location
3. Select location with lowest total cost for expected production volume
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LOCATIONAL BREAK-EVEN ANALYSIS EXAMPLE
Three locations:
Bangalore 30,000 75 180,000
Chennai 60,000 45 150,000
Delhi 110,000 25 160,000
Fixed Variable TotalCity Cost Cost Cost
Total Cost = Fixed Cost + (Variable Cost x Volume)
Selling price = 120Expected volume = 2,000 units
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LOCATIONAL BREAK-EVEN ANALYSIS EXAMPLE
–180,000 –
–160,000 –150,000 –
–130,000 –
–110,000 –
––
80,000 ––
60,000 –––
30,000 ––
10,000 ––
Ann
ual c
ost
| | | | | | |
0 500 1,000 1,500 2,000 2,500 3,000
Volume
Blr lowest cost
Chennai lowest cost
Delhi lowest cost
Delhi cost curve
Banga
lore
cost
curv
e
Chennai cost
curve
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CENTER-OF-GRAVITY METHOD
Finds location of distribution center that minimizes distribution costs
ConsidersLocation of marketsVolume of goods shipped to those
marketsShipping cost (or distance)
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CENTER-OF-GRAVITY METHOD
Place existing locations on a coordinate gridGrid origin and scale is arbitrary
Maintain relative distances Calculate X and Y coordinates for
‘center of gravity’Assumes cost is directly proportional
to distance and volume shipped
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CENTER-OF-GRAVITY METHOD
x - coordinate =∑dixQi
∑Qi
i
i
∑diyQi
∑Qi
i
i
y - coordinate =
where dix = x-coordinate of location i
diy = y-coordinate of location i
Qi = Quantity of goods moved to or from location i
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CENTER-OF-GRAVITY METHOD
North-South
East-West
120 –
90 –
60 –
30 –
–| | | | | |
30 60 90 120 150Arbitrary origin
Chicago (30, 120)New York (130, 130)
Pittsburgh (90, 110)
Atlanta (60, 40)
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CENTER-OF-GRAVITY METHOD
Number of ContainersStore Location Shipped per Month
Chicago (30, 120) 2,000Pittsburgh (90, 110) 1,000New York (130, 130) 1,000Atlanta (60, 40) 2,000
x-coordinate =(30)(2000) + (90)(1000) + (130)(1000) + (60)(2000)
2000 + 1000 + 1000 + 2000= 66.7
y-coordinate =(120)(2000) + (110)(1000) + (130)(1000) + (40)(2000)
2000 + 1000 + 1000 + 2000= 93.3
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CENTER-OF-GRAVITY METHOD
North-South
East-West
120 –
90 –
60 –
30 –
–| | | | | |
30 60 90 120 150Arbitrary origin
Chicago (30, 120)New York (130, 130)
Pittsburgh (90, 110)
Atlanta (60, 40)
Center of gravity (66.7, 93.3)+
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TRANSPORTATION MODEL
Finds amount to be shipped from several points of supply to several points of demand
Solution will minimize total production and shipping costs
A special class of linear programming problems
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WORLDWIDE DISTRIBUTION OF VOLKSWAGENS AND PARTS
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SERVICE LOCATION STRATEGY
1. Purchasing power of customer-drawing area2. Service and image compatibility with
demographics of the customer-drawing area3. Competition in the area4. Quality of the competition5. Uniqueness of the firm’s and competitors’
locations6. Physical qualities of facilities and neighboring
businesses7. Operating policies of the firm8. Quality of management
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LOCATION STRATEGIES
Service/Retail/Professional Location Goods-Producing Location
Revenue Focus Cost Focus
Volume/revenueDrawing area; purchasing powerCompetition; advertising/pricing
Physical qualityParking/access; security/lighting; appearance/image
Cost determinantsRentManagement caliberOperations policies (hours, wage rates)
Tangible costsTransportation cost of raw materialShipment cost of finished goodsEnergy and utility cost; labor; raw material; taxes, and so on
Intangible and future costsAttitude toward unionQuality of lifeEducation expenditures by stateQuality of state and local government
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LOCATION STRATEGIES
Service/Retail/Professional Location Goods-Producing Location
Techniques Techniques
Regression models to determine importance of various factors
Factor-rating methodTraffic countsDemographic analysis of drawing areaPurchasing power analysis of areaCenter-of-gravity methodGeographic information systems
Transportation methodFactor-rating methodLocational break-even analysisCrossover charts
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LOCATION STRATEGIES
Service/Retail/Professional Location Goods-Producing Location
Assumptions Assumptions
Location is a major determinant of revenue
High customer-contact issues are criticalCosts are relatively constant for a given
area; therefore, the revenue function is critical
Location is a major determinant of costMost major costs can be identified
explicitly for each siteLow customer contact allows focus on
the identifiable costsIntangible costs can be evaluated