Approximation Algorithms for Disjoint Paths and Related Routing and Packing Problems

TitleApproximation Algorithms for Disjoint Paths and Related Routing and Packing Problems
Publication TypeJournal Articles
Year of Publication2000
AuthorsBaveja A, Srinivasan A
JournalMathematics of Operations ResearchMathematics of Operations Research
Volume25
Issue2
Pagination255 - 280
Date Published2000/05/01/
ISBN Number0364-765X, 1526-5471
KeywordsApproximation algorithms, Disjoint paths, integer programming, Linear programming, multicommodity flow, Packing, randomized algorithms, rounding, Routing, unsplittable flow
Abstract

Given a network and a set of connection requests on it, we consider the maximum edge-disjoint paths and related generalizations and routing problems that arise in assigning paths for these requests. We present improved approximation algorithms and/or integrality gaps for all problems considered; the central theme of this work is the underlying multicommodity flow relaxation. Applications of these techniques to approximating families of packing integer programs are also presented.

URLhttp://mor.journal.informs.org/content/25/2/255
DOI10.1287/moor.25.2.255.12228