Title
Minimum ConvexCost Network Flow Problems: A Solution Algorithm of Minimum ConvexCost Network Flow Problems (MCCNFP),Used
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The Minimum ConvexCost Network Flow Problems (MCCNFP) is a class of network flow problem, with nonlinear (convex) cost function, has an important role in operations research. The convexity of the cost (or objective) function arise in various ways such as strictly convex, mixed linear and strictly convex, piecewise linear convex, pseudoconvex etc. A number of solution methods developed in the last few decades on the view of different type convexity of cost function. In this dissertation we have present a Proposed Solution Algorithm for MCCNFP, which can deals with convex cost function. This solution algorithm is constructed on the basis of Network Simplex Method for minimum cost network flow problem with linear cost function, Zangwills Convex Simplex Method (Zangwill I. W., 1967) and its extension for quadratic programming problem (Swarup K., 1977) and the decomposition of the convex simplex method for large scale convex programming problems (Hsia W. S., 1973, 1974, 1975) and NonLinear Transportation Problems (Terefe K., 2007).
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