Interior point methods for multicommodity network flows
No Thumbnail Available
Date
2010
Journal Title
Journal ISSN
Volume Title
Publisher
Pontificia Universidad Católica del Perú
Abstract
El artículo no presenta resumen
This article studies the linear multicommodity network flow problem. This kind of problem arises in a wide variety of contexts. A numerical implementation of the primal-dual interior-point method is designed to solve the problem. In the interior-point method, at each iteration, the corresponding linear system, expressed as a normal equations system, is solved by using the AINV algorithm combined with a preconditioned conjugate gradient algorithm or by the AINV algorithm for the whole normal equations. Numerical experiments are conducted for networks of different dimensions and numbers of products for the distribution problem. The computational results show the effectiveness of the interior-point method for this class of network problems.
This article studies the linear multicommodity network flow problem. This kind of problem arises in a wide variety of contexts. A numerical implementation of the primal-dual interior-point method is designed to solve the problem. In the interior-point method, at each iteration, the corresponding linear system, expressed as a normal equations system, is solved by using the AINV algorithm combined with a preconditioned conjugate gradient algorithm or by the AINV algorithm for the whole normal equations. Numerical experiments are conducted for networks of different dimensions and numbers of products for the distribution problem. The computational results show the effectiveness of the interior-point method for this class of network problems.
Description
Keywords
Linear Programming, Interior-Point Methods, Network Optimization, Multicommodity Flows
Citation
Collections
Endorsement
Review
Supplemented By
Referenced By
Creative Commons license
Except where otherwised noted, this item's license is described as info:eu-repo/semantics/openAccess