Acceptance sampling Plan

May 7th, 2015
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Chap8 The Transportation and Assignment Problems Example: Three canneries and four warehouse

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Acceptance sampling PlanCollege of Management, NCTUOperation Research IFall, 2008Chap8 The Transportation and Assignment ProblemsExample: Three canneries and four warehouseShipping Cost per TruckloadOutputWarehouse1234464513654867751Cannery3524166907911252995682388685100380657085Allocationxij = the number of truckloads to be shipped from cannery i to warehouse j.The Transportation ProblemDistribute goods from sources to destinations with minimum cost. si : number of units being supplied by source i.dj : number of units being received by destination j.cij : cost per unit distributed from source i to destination j. xij : amount distributed from source i to destination j.Parameter table for the transportation problem:Cost per Unit DistributedSupplyDestination12nc11c12c1ns11Sourcec21c22c2ns22cm1cm2smcmnmd1d2dnDemandAny problem (whether involving transportation or not) fits the model for a transportation problem if it can be described completely in terms of a parameter table.Jin Y. WangChap8-1College of Management, NCTUOperation Research IFall, 2008FormulationmMin Z =n ci =1 j =1nS.T.xj =1ijmxi =1ijijxij= s i , for i = 1, 2, , m= d j , for j = 1, 2, , nxij 0 , for all i and jThe feasible solutions property: A transportation problem will have feasible msolution if and only ifns = d

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