Davis-Location is the Function of Determining Where the Plant Should

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    Davis-location is the function of determining wherethe plant should be located for max. operatingeconomy and effectiveness.

    Facility location is the process of identifying thebest geographic location for a service or

    production facilityFactors affecting location decisions:

    1 input related factors: raw materials, humanresources, capital and technology

    2 output related factors: marketing, economicimpacts

    3 other factors: climate, political stability,government regulation

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    Proximity to source of supply:Reduce transportation costs of perishable or

    bulky raw materials

    Proximity to customers:E.g.: high population areas

    Proximity to labor:

    Local wage rates, attitude toward unions,

    availability of special skills

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    Community considerations:

    Local communitys attitude toward the facility(e.g.: prisons)

    Site considerations:Local zoning & taxes, access to utilities, etc.

    Quality-of-life issues:Climate, cultural attractions, commuting time,

    etc.

    Other considerations:Options for future expansion, local

    competition, etc.

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    Objectives

    To expand existing facilityTo add new location while retaining

    existing one.

    Shut down at one location and move toanother

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    Issues in Facility Location

    Free Trade Zones: closed facility into

    which foreign goods can be brought

    without being subject to custom

    requirements. Political Risk Government Barriers

    Trading Blocs Environmental Regulation CompetitiveAdvantage

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    Plant Location Methodology: Factor Rating

    Method Example

    Fuels in region 0 to 330Power availability and reliability 0 to 200

    Labor climate 0 to 100

    Living conditions 0 to 100

    Transportation 0 to 50

    Water supply 0 to 10

    Climate 0 to 50

    Supplies 0 to 60

    Tax policies and laws 0 to 20

    Two refineries sites (A and B) are assigned the

    following range of point values and respective points,where the more points the better for the site location.

    123150

    54

    24

    45

    4

    8

    5

    5

    Major factors for site location Pt. Range

    156100

    63

    96

    50

    5

    4

    50

    20

    SitesA B

    Total pts. 418 544

    Best Site

    is B

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    Plant Location Methodology: Transportation

    Method of Linear Programming

    Transportation method of linear

    programming seeks to minimize

    costs of shipping n units to mdestinations or its seeks to

    maximize profit of shipping n units

    to m destinations

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    Plant Location Methodology:

    Centroid Method

    The centroid method is used for

    locating single facilities that considers

    existing facilities, the distances

    between them, and the volumes ofgoods to be shipped between them

    This methodology involves formulas

    used to compute the coordinates of the

    two-dimensional point that meets thedistance and volume criteria stated

    above

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    Plant Location Methodology: Centroid

    Method Formulas

    C =d V

    Vx

    ix i

    i

    Where:

    Cx = X coordinate of centroid

    Cy = X coordinate of centroid

    dix = X coordinate of the ith location

    diy = Y coordinate of the ith location

    Vi = volume of goods moved to or from ith

    location

    C =d V

    Vy

    iy i

    i

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    Plant Location Methodology: Example

    of Centroid Method

    Question: What is the best location for a new Z-Mobile

    warehouse/temporary storage facility considering onlydistances and quantities sold per month?

    Centroid method exampleSeveral automobile showrooms are

    located according to the following

    grid which represents coordinate

    locations for each showroomS ho wro o m No o f Z-Mo b ile s

    s o ld p e r mo nth

    A 1250

    D 1900

    Q 2300X

    Y

    A(100,200)

    D(250,580)

    Q(790,900)

    (0,0)

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    Plant Location Methodology: Example of Centroid Method

    (Continued): Determining Existing Facility CoordinatesTo begin, you must identify the

    existing facilities on a two-

    dimensional plane or grid and

    determine their coordinates.

    X

    Y

    A(100,200)

    D(250,580)

    Q(790,900)

    (0,0)

    You must also have the

    volume information on the

    business activity at the

    existing facilities.

    S ho wro om No o f Z-Mo bile s

    s old pe r month

    A 1250

    D 1900

    Q 2300

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    Plant Location Methodology: Example of Centroid Method

    (Continued): Determining the Coordinates of the New

    Facility

    C =100(1250) + 250(1900) + 790(2300)

    1250 + 1900 + 2300=

    2,417,000

    5,450=x 443.49

    C =200(1250) + 580(1900) + 900(2300)

    1250 + 1900 + 2300=

    3,422,000

    5,450=y 627.89

    S ho wroom No of Z-Mobile s

    s old pe r month

    A 1250

    D 1900

    Q 2300X

    Y

    A(100,200)

    D(250,580)

    Q(790,900)

    (0,0)

    You then compute the new coordinates using the formulas:

    Z

    New

    locationof facility

    Z about

    (443,627)

    You then take the coordinates and place them on the map: