Facility Location Models Facility Location Models
Mar 31, 2015
Facility Location ModelsFacility Location Models
Location StrategyLocation Strategy One of the most important decisions One of the most important decisions
a firm makesa firm makes
Increasingly global in natureIncreasingly global in nature
Long term impact and decisions are Long term impact and decisions are difficult to changedifficult to change
The objective is to maximize the The objective is to maximize the benefit of location to the firmbenefit of location to the firm
Location DecisionsLocation Decisions
Long-term decisions Long-term decisions
Decisions made infrequentlyDecisions made infrequently
Decision greatly affects both fixed Decision greatly affects both fixed and variable costs and variable costs
Once committed to a location, Once committed to a location, many resource and cost issues are many resource and cost issues are difficult to changedifficult to change
Location DecisionsLocation DecisionsCountry DecisionCountry Decision Critical Success FactorsCritical Success Factors
1.1. Political risks, government rules, Political risks, government rules, attitudes, incentivesattitudes, incentives
2.2. Cultural and economic issuesCultural and economic issues
3.3. Location of marketsLocation of markets
4.4. Labor availability, attitudes, Labor availability, attitudes, productivity, costsproductivity, costs
5.5. Availability of supplies, Availability of supplies, communications, energycommunications, energy
6.6. Exchange rates and currency Exchange rates and currency risksrisks
Location DecisionsLocation DecisionsRegion/ Region/
Community Community DecisionDecision
Critical Success FactorsCritical Success Factors
1.1. Corporate desiresCorporate desires
2.2. Attractiveness of region Attractiveness of region
3.3. Labor availability, costs, Labor availability, costs, attitudes towards unionsattitudes towards unions
4.4. Costs and availability of utilitiesCosts and availability of utilities
5.5. Environmental regulationsEnvironmental regulations
6.6. Government incentives and Government incentives and fiscal policiesfiscal policies
7.7. Proximity to raw materials and Proximity to raw materials and customerscustomers
8.8. Land/construction costsLand/construction costs
MN
WI
MI
IL INOH
Location DecisionsLocation DecisionsSite DecisionSite Decision Critical Success FactorsCritical Success Factors
1.1. Site size and costSite size and cost
2.2. Air, rail, highway, and Air, rail, highway, and waterway systemswaterway systems
3.3. Zoning restrictionsZoning restrictions
4.4. Nearness of services/ Nearness of services/ supplies neededsupplies needed
5.5. Environmental impact Environmental impact issuesissues
Factors That Affect Factors That Affect Location DecisionsLocation Decisions
Labor productivityLabor productivity
Wage rates are not the only costWage rates are not the only cost
Lower productivity may increase total costLower productivity may increase total cost
Labor cost per dayLabor cost per day
Productivity (units per day)Productivity (units per day)= cost per unit= cost per unit
AA
= $1.17= $1.17 per unit per unit$70$70
6060 units units
ZZ
= $1.25= $1.25 per unit per unit$25$25
2020 units units
Factors That Affect Factors That Affect Location DecisionsLocation Decisions
Exchange rates and currency risksExchange rates and currency risks
Can have a significant impact on cost Can have a significant impact on cost structurestructure
Rates change over timeRates change over time
CostsCosts
Tangible - easily measured costs such as Tangible - easily measured costs such as utilities, labor, materials, taxesutilities, labor, materials, taxes
Intangible - less easy to quantify and Intangible - less easy to quantify and include education, public transportation, include education, public transportation, community, quality-of-lifecommunity, quality-of-life
Factors That Affect Factors That Affect Location DecisionsLocation Decisions
AttitudesAttitudes
National, state, local governments toward National, state, local governments toward private and intellectual property, zoning, private and intellectual property, zoning, pollution, employment stabilitypollution, employment stability
Worker attitudes towards turnover, unions, Worker attitudes towards turnover, unions, absenteeismabsenteeism
Globally cultures have different attitudes Globally cultures have different attitudes towards punctuality, legal, and ethical towards punctuality, legal, and ethical issuesissues
Factors That Affect Factors That Affect Location DecisionsLocation Decisions
Proximity to marketsProximity to markets
Very important to servicesVery important to services
JIT systems or high transportation costs JIT systems or high transportation costs may make it important to manufacturersmay make it important to manufacturers
Proximity to suppliersProximity to suppliers
Perishable goods, high transportation Perishable goods, high transportation costs, bulky productscosts, bulky products
Types Of FacilitiesTypes Of Facilities
Heavy manufacturingHeavy manufacturingAuto plants, steel mills, chemical plantsAuto plants, steel mills, chemical plants
Light industryLight industrySmall components mfg, assemblySmall components mfg, assembly
Warehouse & distribution centersWarehouse & distribution centersRetail & serviceRetail & service
Factors in Heavy Factors in Heavy Manufacturing LocationManufacturing Location
Construction costsConstruction costsLand costsLand costsRaw material and finished goods Raw material and finished goods
shipment modesshipment modesProximity to raw materialsProximity to raw materialsUtilitiesUtilitiesLabor availabilityLabor availability
Factors in Light Factors in Light Industry LocationIndustry Location
Construction costsConstruction costsLand costsLand costsEasily accessible Easily accessible
geographic regiongeographic regionEducation & training capabilitiesEducation & training capabilities
Factors in Factors in Warehouse LocationWarehouse Location
Transportation costsTransportation costsProximity to marketsProximity to markets
ปั�จจ�ยในการเลื อกทำ�าเลืทำ��ตั้��งปั�จจ�ยในการเลื อกทำ�าเลืทำ��ตั้��งคลื�งสิ�นค�าคลื�งสิ�นค�า
สิ�ทำ�ศา สิรรพก�จไพศาลื, 2550
1. การขนสิ�งทำางบก2. การขนสิ�งทำางรถไฟ3. อย#�ใกลื�ก�บลื#กค�า4. อย#�ใกลื�แหลื�งวั�ตั้ถ�ดิ�บ / โรงงานผลื�ตั้5. สิาธารณู#ปัโภค6. การระบายน��า7. การถ�ายเทำของเสิ�ย / การจ�ดิการของเสิ�ย
ปั�จจ�ยในการเลื อกทำ�าเลืทำ��ตั้��งปั�จจ�ยในการเลื อกทำ�าเลืทำ��ตั้��งคลื�งสิ�นค�าคลื�งสิ�นค�า
สิ�ทำ�ศา สิรรพก�จไพศาลื, 2550
8. การเปั.นเจ�าของทำ��ดิ�น9. แรงจ#งใจจากคลื�งสิ�นค�าทำ��ตั้��งอย#�ก�อน10. แรงงานแลืะค�าจ�าง11. อ�ตั้ราผลืตั้อบแทำนจากการลืงทำ�น12. ระยะเวัลืาค นทำ�น13. มู#ลืค�าเง�นปั�จจ�บ�นสิ�ทำธ�14. การวั�เคราะห0ระยะทำางก�บภาระงาน (Load distance analysis)
Location Analysis Location Analysis TechniquesTechniques
Location rating factorLocation rating factorCenter-of-gravityCenter-of-gravityLoad-distanceLoad-distanceBreak EvenBreak EvenLP and Non-LPLP and Non-LP
Location Rating FactorLocation Rating Factor
Identify important factorsIdentify important factorsWeight factors Weight factors (0.00 - 1.00)(0.00 - 1.00)Subjectively score each factor Subjectively score each factor (0 - 100)(0 - 100)Sum weighted scoresSum weighted scores
Location Factor Rating Location Factor Rating
Labor pool and climateLabor pool and climateProximity to suppliersProximity to suppliersWage ratesWage ratesCommunity environmentCommunity environmentProximity to customersProximity to customersShipping modesShipping modesAir serviceAir service
LOCATION FACTORLOCATION FACTOR
.30.30
.20.20
.15.15
.15.15
.10.10
.05.05
.05.05
WEIGHTWEIGHT
8080100100
60607575656585855050
Site 1Site 1
6565919195958080909092926565
Site 2Site 2
9090757572728080959565659090
Site 3Site 3
SCORES (0 TO 100)SCORES (0 TO 100)
Weighted Score Site 1 = (0.30)(80) = 24Weighted Score Site 1 = (0.30)(80) = 24
Location Factor Rating Location Factor Rating
Labor pool and climateLabor pool and climateProximity to suppliersProximity to suppliersWage ratesWage ratesCommunity environmentCommunity environmentProximity to customersProximity to customersShipping modesShipping modesAir serviceAir service
LOCATION FACTORLOCATION FACTOR
.30.30
.20.20
.15.15
.15.15
.10.10
.05.05
.05.05
WEIGHTWEIGHT
8080100100
60607575656585855050
Site 1Site 1
6565919195958080909092926565
Site 2Site 2
9090757572728080959565659090
Site 3Site 3
SCORES (0 TO 100)SCORES (0 TO 100)
24.0020.00
9.0011.25
6.504.252.50
77.50
Site 1
19.5018.2014.2512.00
9.004.603.25
80.80
Site 2
27.0015.0010.8012.00
9.503.254.50
82.05
Site 3
WEIGHTED SCORES
Weighted Score Site 1 = (0.30)(80) = 24Weighted Score Site 1 = (0.30)(80) = 24
Locate facility at center of geographic area Locate facility at center of geographic area Based on weight and distance traveledBased on weight and distance traveled Establish grid-map of areaEstablish grid-map of area Identify coordinates Identify coordinates
and weights shipped and weights shipped for each locationfor each location
Center-of-Gravity TechniqueCenter-of-Gravity Technique
Grid-Map CoordinatesGrid-Map Coordinates
where,where,xx, , y y ==coordinates of the new coordinates of the new facility at center of gravityfacility at center of gravityxxii, y, yii ==coordinates of existing coordinates of existing
facility facility iiWWii = =annual weight shipped annual weight shipped
from facility from facility ii
nn
WWii
i = i = 11
xxiiWWii
i = i = 11
nn
x =x =
nn
WWii
i = i = 11
yyiiWWii
i = i = 11
nn
y =y =
xx11 xx22 xx33 xx
yy22
yy
yy11
yy33
1 (1 (xx11, , yy11), ), WW11
2 (2 (xx22, , yy22), ), WW22
3 (3 (xx33, , yy33), ), WW33
Center-of-Gravity TechniqueCenter-of-Gravity TechniqueAA BB CC DD
xx 200200 100100 250250 500500yy 200200 500500 600600 300300WtWt 7575 105105 135135 6060
yy
700700
500500
600600
400400
300300
200200
100100
00 xx700700500500 600600400400300300200200100100
AA
BB
CC
DD
(135)(135)
(105)(105)
(75)(75)
(60)(60)
MilesMiles
Mil
esM
iles
Center-of-Gravity TechniqueCenter-of-Gravity Techniqueyy
700700
500500
600600
400400
300300
200200
100100
00 xx700700500500 600600400400300300200200100100
AA
BB
CC
DD
(135)(135)
(105)(105)
(75)(75)
(60)(60)
MilesMiles
Mil
esM
iles
AA BB CC DD
xx 200200 100100 250250 500500yy 200200 500500 600600 300300WtWt 7575 105105 135135 6060x = = = 238
n
Wii = 1
xiWii = 1
n
n
Wii = 1
yiWii = 1
n
y = = = 444(200)(75) + (500)(105) + (600)(135) + (300)(60)
75 + 105 + 135 + 60
(200)(75) + (100)(105) + (250)(135) + (500)(60)
75 + 105 + 135 + 60
Center-of-Gravity TechniqueCenter-of-Gravity TechniqueAA BB CC DD
xx 200200 100100 250250 500500yy 200200 500500 600600 300300WtWt 7575 105105 135135 6060
yy
700700
500500
600600
400400
300300
200200
100100
00 xx700700500500 600600400400300300200200100100
AA
BB
CC
DD
(135)(135)
(105)(105)
(75)(75)
(60)(60)
MilesMiles
Mil
esM
iles
Center of gravity Center of gravity (238, 444)(238, 444)
Load-Distance Load-Distance TechniqueTechnique
• Compute Load x Distance for each site
• Choose site with lowest Load x Distance
• Distance can be actual or straight-line
SupplemenSupplement 7-t 7-2727
Load-Distance CalculationsLoad-Distance Calculations
llij ij ddijij
j = 1j = 1
nn
LDLDijij = =
LDLDijij= = load-distance value from site load-distance value from site i i to all existing facility to all existing facility jj’s’s
llijij = = load expressed as a weight, number of trips or units load expressed as a weight, number of trips or units
being shipped from proposed site being shipped from proposed site ii and location and location jj
ddijij = = distance between proposed site distance between proposed site ii and location and location jj
ddijij = = (x (xii - x - xjj))22 + (y + (yii - y - yjj))22
(x(xii,y,yii) = ) = coordinates of proposed site coordinates of proposed site ii
(x(xii , y , yjj) = coordinates of existing facility ) = coordinates of existing facility jj
where,where,
where,where,
Load-Distance: ExampleLoad-Distance: Example
Potential SitesPotential SitesSiteSite XX YY
11 360360 18018022 420420 45045033 250250 400400
SuppliersSuppliersAA BB CC DD
XX 200200 100100 250250 500500YY 200200 500500 600600 300300WtWt 7575 105105 135135 6060
Compute distance from each site to each supplierCompute distance from each site to each supplier
= (200-360)= (200-360)22 + (200-180) + (200-180)22dd1A1A = (x = (xAA - x - x11))22 + (y + (yAA - y - y11))22Site 1Site 1 = 161.2= 161.2
= (100-360)= (100-360)22 + (500-180) + (500-180)22dd1B1B = (x = (xBB - x - x11))22 + (y + (yBB - y - y11))22 = 412.3= 412.3
dd1C1C = 434.2 = 434.2 dd1D1D = 184.4 = 184.4
Load-Distance: Example (cont.)Load-Distance: Example (cont.)
Site 2Site 2 dd2A2A = 333 = 333 dd2C2C = 226.7 = 226.7dd2B2B = 323.9 = 323.9 dd2D2D = 170 = 170
Site 3Site 3 dd3A3A = 206.2 = 206.2 dd3C3C = 200 = 200dd3B3B = 180.4 = 180.4 dd3D3D = 269.3 = 269.3
Compute load-distanceCompute load-distance
j = 1j = 1
nn
llijijddijijLDLDij ij ==
Site 1 = (75)(161.2) + (105)(412.3) + (135)(434.2) + (60)(434.4) = 125,063Site 1 = (75)(161.2) + (105)(412.3) + (135)(434.2) + (60)(434.4) = 125,063
Site 2 = (75)(333) + (105)(323.9) + (135)(226.7) + (60)(170) = 99,791Site 2 = (75)(333) + (105)(323.9) + (135)(226.7) + (60)(170) = 99,791
Site 3 = (75)(206.2) + (105)(180.3) + (135)(200) + (60)(269.3) = 77,555*Site 3 = (75)(206.2) + (105)(180.3) + (135)(200) + (60)(269.3) = 77,555*
* Choose site 3* Choose site 3
Break-Even AnalysisBreak-Even Analysis
Method of cost-volume analysis used for Method of cost-volume analysis used for industrial locationsindustrial locations
Three steps in the methodThree steps in the method
1.1. Determine fixed and variable costs Determine fixed and variable costs for each locationfor each location
2.2. Plot the cost for each location Plot the cost for each location
3.3. Select location with lowest total Select location with lowest total cost for expected production cost for expected production volumevolume
Break-Even AnalysisBreak-Even Analysis
Three locations:Three locations:
ChonburiChonburi $30,000$30,000 $75$75 $180,000$180,000
LumphoonLumphoon $60,000$60,000 $45$45 $150,000$150,000
SongklaSongkla $110,000$110,000 $25$25 $160,000$160,000
Selling price Selling price = $120= $120
Expected volumeExpected volume = 2,000 = 2,000 unitsunits
FixedFixed VariableVariable TotalTotalCityCity CostCost CostCost CostCost
Total Cost = Fixed Cost + Variable Cost x VolumeTotal Cost = Fixed Cost + Variable Cost x Volume
Break-Even AnalysisBreak-Even Analysis
–$180,000 $180,000 –
–$160,000 $160,000 –$150,000 $150,000 –
–$130,000 $130,000 –
–$110,000 $110,000 –
––
$80,000 $80,000 ––
$60,000 $60,000 –––
$30,000 $30,000 ––
$10,000 $10,000 ––
An
nu
al c
ost
An
nu
al c
ost
| | | | | | |
00 500500 1,0001,000 1,5001,500 2,0002,000 2,5002,500 3,0003,000
VolumeVolume
lowest lowest costcost lowest costlowest cost lowest lowest
costcost
Songkla cost curve
Songkla cost curve
Chonburi
Chonburi
cost
curv
e
cost
curv
e
Lumphoon cost
Lumphoon cost
curvecurve