SPECIFIED FLOW IN A NON LINEAR CAPACITATED TRANSPORTATION PROBLEM (original) (raw)

In the present paper, anon linear transportation problem with specified flow is studied. I fin addition to the flow constraint, the minimum requirement of each destination is also specified then the situation arises of distributing at minimum cost a certain commodity produced in a country, after keeping reserve stocks, to various states with minimum requirement of each state specified. Are lated transportation problem is formed in which the flow constraint is replaced by two extra destinations, one for supplementing the total flow up to the specified level, and the other for identifying the supply points preferred to keeper serves. Optimal basic feasible solution of the related transportation problem so formulate dis shown to give an optimal solution of the given problem. A numerical example is included in support of theory. Keywords: optimum time cost trade off, capacityated transportation problem, non l i n e a r transportation problem, specified flow.