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8/13/2019 Location.ppt
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IES 371Engineering Management
Chapter 10: Location
Week 11August 17, 2005
ObjectivesIdentify the factors affecting location choicesExplain how to apply the various methods to location decisions
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Facility Location
Competitive Advantages The need to produce close to the
customer due to time-basedcompetition, trade agreements,
and shipping costs.
The need to locate near theappropriate labor pool to take
advantage of low wage costsand/or high technical skills.
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Issues in facility location Proximity to Customers
Business Climate
Total Costs
Infrastructure
Quality of Labor
Suppliers
Other Facilities
Free Trade Zones
Political Risk
Government Barriers
Trading Zones
Environmental Regulation
Host Community
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Plant Location Methodology:
Location Factor RatingProcedures
1. Identify factors that areimportant in the locationdecision
2. Prioritize the factorby itsimportance. Each factor isweighted from 0 to 1.00
3. Subjective score(0 to 100) isassigned to each site for each
factor
4. Sum up the weighted score.
5. The site with highest score isthe most attractive
Location Factors Weight Site 1 Site 2 Site 3
Labor pool & climate 0.30 80 65 95
Proximity to supplies 0.20 100 91 75
Wage rates 0.
15 60 95 80
Community environme 0.15 75 80 80
Scores (0 to 100)
Location Factors Site 1 Site 2 Site 3
Labor pool & climate 24.
00 19.
50 28.
50
Proximity to supplies 20.00 18.20 15.00
Wage rates 9.00 14.25 12.00
Community environment 11.25 12.00 12.00
64.25 63.95 67.50
Scores (0 to 100)
1 2 3
4
5See also Example S5.1
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Plant Location Methodology:
Center-of-Gravity Technique Used for locating single facility that considers existing facilities,the
distancesbetween them, and the volumesof goods to be shippedbetween them.
Involves formulas used to compute the coordinates of the two-dimensional point that meets the distance and volume criteriastated above.
The coordinates for the location of the new facility are computed asfollows:
n
i
i
n
i
ii
n
i
i
n
i
ii
W
Wy
y
W
Wx
x
1
1
1
1 ,
x, y = Coordinates of the new facilityat center of gravity
xi, yi = coordinate of existing facilityI
Wi = Annual weight shipped from
facility i
See also Example S5.2
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Ex 1: Center-of-Gravity Technique
Question:What is the best location for a new Z-Mobilewarehouse/temporary storage facility considering onlydistances and quantities sold per month?
Several automobile showrooms are located according to thefollowing grid which represents coordinate locations for eachshowroom.
X
Y
A
(100,200)
D(250,580)
Q(790,900)
(0,0)
Showroom # of Z-mobiles soldper month
A
D
Q
1250
1900
2300
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Plant Location Methodology:
Load-Distance Technique Various locationsare evaluated using a load-distancevalue.
For a single potential location, a load-distance value (ld)iscomputed as follows:
Select the location with lowest ld value
221
yyxxd
dlLD
iii
n
i
ii
x, y = coordinates of the new facility
xi, yi = coordinate of existing facility
LD = the load-distance value
li
= the load expressed as weight, number of trips, or unit
di = the distance between the new and existing facility
Ex 2:From ex 1, evaluate two possible different sites ofwarehouse to supply to showroom A, D, and Q. Given that
Warehouse site 1: x = 420 and y =450
Warehouse site 2: x = 250 and y =980
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Plant Location Methodology:Break-even analysis
Also refer to Supplement A
Decision Making
Basic steps for break-even analysis
in facility location decisions:
1. Determine variable costsand fixedcosts
2. Plot the total cost lines (sum of
fixed costs and variable costs)forall alternatives in a single graph
3. Identify the approximate ranges for
sites with lowest total cost
4. Solve algebraically for the break-
even points over the relevant
rangesQ(thousands of units)
0
200
400
600
800
1000
1200
1400
1600
2 4 6 8 10 12 14 16 18 20 22
A best B best C best
Break-even point
6.25 14.3
A
D
B
C
(20, 1390)
(20, 1200)
(20, 1060)
(20, 980)
Break-evenpointAnnualcost(thousandsofdollars)
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Ex 3: Break-even analysisEthel & Earl Griese narrowed
their choice for a new oilrefinery to 3 locations.Fixed and variable costsare as follows.
Describe the appropriatedecision plan for thiscompany.
Locations Fixed costper year
Variablecost per
unitAlbanyBaltimore
Chattanooga$350,000
$1,500,500$1,100,000
$980$240$500
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Plant Location Methodology:Transportation Method A quantitative approach based on linear
programming
To determine the allocation pattern that
minimizes the cost of shipping products from 2
or more plants (source of supply) to 2 or more
warehouses (destinations)
This method is find the best shipping patternbetween plants and warehouses for a particular
set of plant locationswith given capacities
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Transportation Tableau
Requirements
Plants Capacity
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Ex 3: Transportation MethodFire Brand makes sauce in EL Paso
and New York City. Distribution
centers are located in Atlanta,
Omaha, and Seattle. The
shipment costs per case are as
shown in the table.
The demand for Atlanta, Omaha, andSeattle are 8,000, 10,000, and4,000 cases per monthrespectively. The plant in El Paso
has production capacity of12,000 cases / month, while theplant in New York City hasproduction capacity of 10,000per month.
FROM /TO Atlanta Omaha Seattle
El Paso $4 $5 $6NYC $3 $7 $9
Determine the shipping pattern thatwill minimize transportation costs.What are the estimated
transportation costs associated withthis optimal allocation pattern?