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?