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IMI/Publicaţii/BASM/Ediţii/BASM n.3 (46), 2004/

The optimal flow in dynamic networks with nonlinear cost functions on edges. (English)

Authors: Fonoberova Maria, Lozovanu Dmitrii

Abstract

In this paper we study the dynamic version of the nonlinear minimum-cost flow problem on networks. We consider the problem on dynamic networks with nonlinear cost functions on edges that depend on time and flow. Moreover, we assume that the demand function and capacities of edges also depend on time. To solve the problem we propose an algorithm, which is based on reducing the dynamic problem to the classical minimum-cost problem on a time-expanded network. We also study some generalization of the proposed problem.

M. Fonoberova
Moldova State University
60 Mateevici str. Chisinau
MD-2009 Moldova
E-mail:
D.Lozovanu
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
Academiei str. Chisinau
MD-2028 Moldova
E-mail:

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