Assignment #4- Stateline Shipping and Transport

255 Words2 Pages
The model transportation problem consists of 18 decision variables; symbolize the number of barrels of wastes transported from each of the six plants to each of the three waste disposal sites: KW= Number of Barrels transported per week from plant ‘i’ to the j-th waste disposal site, Where i = K,D,M,S,C,A and j = W,L,U. Objective function of the manager is to minimize the total transportation cost for all shipments. The objective function is the sum of the individual shipping costs from each plant to each waste disposal site: Minimize Z=$12KW+15KL+17KU+14DW+9DL+10DU+13MW+20ML+11MU+17SW+16SL+19SU+7CW+14CL+12CU+22AW+16AL+18AU The constraints in the model are the number of barrels of wastes available per week at each plant and the number of barrels of wastes accommodated at each waste disposal site. There are nine constraints- one for each plant supply and one for each waste disposal site’s demand. The six supply constraints are: Subject to: K= 35 KW+KL+KU = 35 D= 26 DW+DL+DU = 26 M= 42 MW+ML+MU = 42 S= 53 SW+SL+SU = 53 C= 29 CW+CL+CU = 29 A= 38 AW+AL+AU = 38 The supply constraint KW+KL+KU = 35 symbolize the number of barrels transported from the plant Kingsport to all the three waste disposal sites. The amount transported from Kingsport is limited to the 35 barrels available. The three demand constraints are: W= 65

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