ALGORITHMS FOR SOLVING THE NONLINEAR MULTY-INDEX TRANSPORT PROBLEM

Tatiana PAȘA Universitatea de Stat din Moldova

Abstract

In this paper we formulate and study the nonlinear transport problem with concave cost functions with four indices described by sources, destinations, types of products and types of transport circulating through the transport network. We also formulate and study the nonlinear transport problem with concave cost functions with five indices described by sources, destinations, types of products and types of transport. We present several heuristic algorithms that solve these problems and present the test results for the algorithms implemented in the Wolfram Language. Keywords: concave cost function, nonlinear transport problem, transport network, multy-index transport problem.