Volume 48, Number 2, April-June 2014Isco 2012, guest editors Nelson Maculan, A. Ridha Mahjoub, Eduardo Uchoa
|Page(s)||167 - 188|
|Published online||07 March 2014|
A branch-and-cut for the Non-Disjoint m-Ring-Star Problem
Accepted: 28 November 2013
In this article we study the realistic network topology of Synchronous Digital Hierarchy (SDH) networks. We describe how providers fulfill customer connectivity requirements. We show that SDH Network design reduces to the Non-Disjoint m-Ring-Star Problem (NDRSP). We first show that there is no two-index integer formulation for this problem. We then present a natural 3-index formulation for the NDRSP together with some classes of valid inequalities that are used as cutting planes in a Branch-and-Cut approach. We propose a polyhedral study of a polytope associated with this formulation. Finally, we present our Branch-and-Cut algorithm and give some experimental results on both random and real instances.
Mathematics Subject Classification: 90B10 / 90C10 / 90C57 / 90C90
Key words: Realistic SDH network / non-disjointm-ring-star problem / polyhedral approach / branch-and-cut algorithm
© EDP Sciences, ROADEF, SMAI, 2014
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.