Tema04 Location Strategies

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    Cadena de suministroMtro. William H. Delano Frier

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    Cadena de suministro | Profesor William H. Delano Frier

    Module 4

    Location Strategics

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    Facility Location

    • Location Planning

    • Models

    • Qualitative

    • Quantitative

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    Cadena de suministro | Profesor William H. Delano Frier

    Location Planning

    • The need of a Location Planning

    • Influence based on company´s organization andcontrol

    • Reasons to change• Effectiveness and efficiency of conversion process

    • Costs

    • Available labor / Unions

    • Production Volume / Capacity

    • Distance to Suppliers and customers

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    Decision

    • Long term decisions

    • Not easily turned back

    • They affect fixed and variable costs

    • Transportation

    • Taxes, salaries, rent

    • Objective: Maximize benefit for the company

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    Cadena de suministro | Profesor William H. Delano Frier

    Decisions / Service

    • Investment Approach

    • Cost varies between plants

    • The Facility is an important source of investment

    • Directly affects customer contact

    • Affects business volume

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    Cadena de suministro | Profesor William H. Delano Frier

    Decisions / Industry

    • Cost Approach

    • Income varies little between plants

    • The location directly impacts the costs

    • Shipments, production

    • Cost varies between plants

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    Decision Sequence

    Country Region /Community

    Location

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    Alternative Evaluation / Methods

    • Preliminary study

    • Detailed Analysis

    • Qualitative

    • Factors

    • Quantitative

    • Breake-even point

    • Gravity Center

    Minisum• Minimax

    • Transportation

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    Preliminary Study

    Factors / Country

    • Government

    • Culture and Economy

    • Market

    • Labor availability,

    attitude, productivity,

    costs• Infrastructure

    • Exchange Rate

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    Cadena de suministro | Profesor William H. Delano Frier

    Preliminary Study

    Factors / Region• Objectives / Business

    • Weather andEnvironment

    • Community acceptance• Labor

    • Energy Costs

    • Government

    • Closeness to Suppliersand Customers

    • Land and Building

    William Delano Frier

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    Cadena de suministro | Profesor William H. Delano Frier

    Preliminary Study

    Factors / Location

    • Size

    • Cost• Transportation Services

    • Closeness to services

    •Environmental Impact

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    Detailed Analysis

    • Qualitative Models

    • System based on the factor evaluation

    • Explains why a destintation is preferred

    • Uses measurement factors with an adjustable

    weight for each situation

    • Decision is taken by consensus

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    Factor Evaluation

    Factors Relative Weight Score Evaluation

    Advantages granted by the state   4 8 32

    Labor ability   3 2 6

    Distance to customers   3 6 18

    Distance to suppliers   5 2 10

    Availability and water quality   1 3 3

    Community acceptance   5 4 20

    Education System Qualoty   4 1 4

    Transportation System   3 10 30

    Weather   2 7 14

    Energetics   2 6 12

    149

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    Detailed Analysis

    • Quantitative Models

    • Break-even Point Analysis

    • Identifies the operation level needed in order to

    recover all the costs.

    • Depends on:

    • Sales Price

    • Operations Cost Structure

    PE=

    Incomes/unit - variable cost/unit

    Fixed Costs

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    Break-even point analysis

    • Graphical view of the relations between:

    • Production Volumes

    • Income

    • Costs

    • Fixed: Do not depend on the production level

    •Variable : Vary proportionally based on volumeproduced

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    Break-even Point Analysis

    CV 

    CF 

    CT 

     Losses

    Profit 

    Total Income

    V  BE Volume Produced 

    $

    0

     High FC 

     Low VC 

     Location A

    $

    Volume Produced 

    V  BE 

    CV 

    CF 

    CT 

    Total Income

     Losses

     Location B

     High VC 

     Low FC 

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    Break-even Point

    • We are considering buiding a newplant and are looking at 3locations: Texcoco, Mexico Cityand Toluca

    • The fixed costs / year are: $30k,$60k, & $110k respectively

    • Variable costs / case are: $75, $45,& $25 respectively

    • Price / case $120• Which is the best location for 2000

    units?

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    Break-even PointData

    Texcoco D.F. Toluca

    Fixed Costs 30000 60000 110000

    Variable Costs 75 45 25

    Volume 2000

    Results

    Breakeven Point Units Dollars

    Texcoco vs DF 1000 105000

    Texcoco vs Toluca 1600 150000

    2500 172500

    Volume Analysis @2000 units

    Texcoco D.F. Toluca

    Total Cost 180,000$ 150,000$ 160,000$

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    Break-even PointCost-volume analysis

    0

    50000

    100000

    150000

    200000

    250000

    300000

    350000

    400000

    450000

    0 1000 2000 3000 4000 5000 6000

    Units

           $

    Texcoco D.F. Toluca

    TexcocoD.F

    Toluca

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    Center of Gravity

    • Locates an optimal point to provide service to

    multiple destinations

    • Considers :

    • Existing coordinates

    • Example: Markets, suppliers

    • Shipping volume

    Distance traveled (or cost)• The cost/unit/km remains constant

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    Center of Gravity / Steps

    • Obtain the coordinates from available web based

    information

    • Google Maps, INEGI, other

    • Calculate coordinates X&Y for the center of gravity

    • Determine center of gravity coordinates

    •Minimize distribution costs

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    Center of Gravity / Methodology

    dix = coordinate x of 

    location i

    Wi = Number of 

    transactions of / for each

    location

    diy = Coordinate Y of location i

    Coordinate X

    Coordinate Y

    i

    i

    iiix

    x W

    Wd

    C

    ii

    i iiyy

    W

    WdC

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    Minisum Location Model

    • Rectilinear distances – in right angles

    • Considers the shipping volume

    • Considers existing coordinates

    • Movements are made:

    • East - West, North - South

    • Diagonal movements are not considered

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    Minisum Location Model

    • Methodology

    • Calculate the median of the total number of 

    shipments / movements

    • Starting at the origin and traveling through the x

    axis, find the value of coordinate x where the

    number of total shipments is >= to M

    • Starting at the origin and traveling through the y

    axis, find the value of coordinate y where the

    number of total shipments >= to M

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    Cadena de suministro | Profesor William H. Delano Frier

    Minisum Location Model

    • Exercise…

    • Western University has purchased video equipment

    that will be used by 6 campus buildings

    • The location of the 6 buildings and number of 

    people that will use the equipment is:School Location People

    Administration (5,13) 31

    Education (8,18) 28

    Engineering (0,0) 19

    Humanities (6,3) 53

    Laws (14,20) 32

    Sciences (10,12) 41

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    Minisum Location Model

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    Minisum Location Model

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    Minisum Location Model

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    6,12

    óptimo

    Exercise…

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    Determining Cost

    Transportation Cost

    Ci = Cost of moving a shipment / person one distance unit

    Li = Quantity of shipments / people moved

    Di = Distance between location  i  and the new plant

    iy-y+ii   x  x  D  

      n

    i

     D L C    iii

    1

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    Total Movement Cost

    • Median

    • i=1 1* 31 * (abs(6-5) + abs(12-13)) = $62

    • i=2 1* 28 * (abs(6-8) + abs(12-18)) = $224

    • i=3 1* 19 * (abs(6-0) + abs(12-0)) = $342

    • i=4 1* 53 * (abs(6-6) + abs(12-3)) = $477

    • i=5 1* 32 * (abs(6-14) + abs(12-20)) = $512

    • i=6 1* 41 * (abs(6-10) + abs(12-12)) = $164

    • Total $1781

    )6

    1(   y i y

    i x i xC iL iC T   

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    Minimax Location Model

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    Minimax Location Model

    • Methodology

    • Values to be defined:

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    Minimax Location Model

    • Methodology

    • All points in the line that

     join (x1,y1) and (x2,y2)

    are optimal.• The optimal solution to

    the problem can be

    expressed as follows:

    2esobjetivofunciónladeóptimovalorEl

    10

    )1(*

    )1(*

    5

    21

    21

    c

     y y y

     x x x

    λ

    λλ

    λλ

    The optimal value of the objective function

    is c5/2

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    Cadena de suministro | Profesor William H. Delano Frier

    Minimax Location Model

    • Example…..

    • 6 locations with the

    following coordinates:

    (5,13), (0,0), (14,20),(8,18), (6,3), (10,12).

    • Objective: Locate a new

    building that minimizes

    the maximum distance

    to the current locations

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    Minimax Location Model

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    Todos los puntos de la

    recta son óptimos

    12,5

    1.5,15.5

    • Exercise…

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    Lineal Programming

    • Transportation Method

    • Finite number of destinations and sources

    • Volume

    • Cost Origin-Destination

    • Minimizes the Total Transportation Cost

    • The final result determines:

    • Optimal quantity to be shipped from source i todestination j

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    Cadena de suministro | Profesor William H. Delano Frier

    Global Distribution of Auto-Parts

    (VW)