Minimum cost capacity installation for multicommodity network flows

Minimum cost capacity installation for multicommodity network flows

0.00 Avg rating0 Votes
Article ID: iaor19992547
Country: Netherlands
Volume: 81
Issue: 2
Start Page Number: 177
End Page Number: 199
Publication Date: Apr 1998
Journal: Mathematical Programming
Authors: , , ,
Keywords: programming: integer
Abstract:

Consider a directed graph G = (V,A), and a set of traffic demands to be shipped between pairs of nodes in V. Capacity has to be installed on the edges of this graph (in integer multiples of a base unit) so that traffic can be routed. In this paper we consider the problem of minimum cost installation of capacity on the arcs to ensure that the required demands can be shipped simultaneously between node pairs. We study two different approaches for solving problems of this type. The first one is based on the idea of metric inequalities, and uses a formulation with only |A| variables. The second uses an aggregated multicommodity flow formulation and has |V||A| variables. We first describe two classes of strong valid inequalities and use them to obtain a complete polyhedral description of the associated polyhedron for the complete graph on three nodes. Next we explain our solution methods for both of the approaches in detail and present computational results. Our computational experience shows that the two formulations are comparable and yield effective algorithms for solving real-life problems.

Reviews

Required fields are marked *. Your email address will not be published.