Design of a Mathematical Model on Production and Transport Problems with Restrictions on Environmental Pollution

Abstract

In the given article, according to the cybernetic approach, are analysed the production systems that focus on the following economic indicators: optimum profitability (maximum profit); minimum cost for the resources acquisition and transportation of; minimum cost for distributing and transporting goods to consumer markets; strict compliance with all production, transport and environmental pollution restrictions. All these four listed moments are reproduced in a systemic way through the economic-mathematical language. Previously, several variants of models of this kind were researched only in some simplified forms. The developed model can be used, for example, when evaluating certain solutions proposed in the debates, when analysing some sample of simulated scenarios, and, in symbiosis with the application of optimization methods, can be efficient in obtaining effective decisions.