Communications in Mathematical Sciences

Volume 4 (2006)

Number 2

Modelling and optimization of supply chains on complex networks

Pages: 315 – 330

DOI: https://dx.doi.org/10.4310/CMS.2006.v4.n2.a3

Authors

S. Göttlich

M. Herty

A. Klar

Abstract

In this paper, we extend the model for supply chains developed in [8]. The model consists of partial differential equations governing the dynamics on each processor. Furthermore, a modelling of different types of vertices is motivated and discussed. Then, optimization problems are introduced and numerically investigated. A comparison of computing times shows the efficiency of partial differential equations for solving supply chain problems.

2010 Mathematics Subject Classification

Primary 90B50. Secondary 65Mxx.

Published 1 January 2006