# Transportation Model to minimize cost

Feb 3rd, 2012
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The three blood banks in Seminole County, Florida, are coordinated through a central office that facilitates blood delivery to four hospitals in the region. The cost to ship a standard container of blood from each bank to each hospital is shown in the table below. Also given are the biweekly number of containers available at each bank and the biweekly number of containers of blood needed at each hospital. The given transportation problem is balanced The number of shipments should be made biweekly from each blood bank to each hospital so that total shipment costs are minimized; least cost method to minimize cost of the transportation: example on transportation model with complete solution.

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The three blood banks in Seminole County, Florida, are coordinated through a central office that facilitates blood delivery to four hospitals in the region. The cost to ship a standard container of blood from each bank to each hospital is shown in the table below. Also given are the biweekly number of containers available at each bank and the biweekly number of containers of blood needed at each hospital. The given transportation problem is balanced The number of shipments should be made biweekly from each blood bank to each hospital so that total shipment costs are minimized:Subsequent pages contain complete solution of above problem: If any doubt in solution or more help contact: piyushlakhani1991@gmail.comUse Least cost method to minimize cost for given transportation model:Follow following procedure to solve out blood bank with minimum cost1. Find out minimum cost block in whole matrix which is 5 and assign maximum possible value, it means minimum of supply or demand for that row or column respectively which is 60 for demand and covered column of Hospital3 by dashed line.sourceHospital 1Hospital 2Hospital 3Hospital 4SupplyBank189111690Bank2127589060Bank3141067120Demand1108060501. Take second minimum value from uncovered block It is 7 in column of Hospital 2, assign remaining value of bank 2 supply.sourceHospital 1Hospital 2Hospital 3Hospital 4SupplyBank18

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