Connectivity upgrade models for survivable network design

Anantaram Balakrishnan, Prakash Mirchandani, Harihara Prasad Natarajan

Research output: Contribution to journalArticle

16 Scopus citations

Abstract

Disruptions in infrastructure networks to transport material, energy, and information can have serious economic, and even catastrophic, consequences. Since these networks require enormous investments, network service providers emphasize both survivability and cost effectiveness in their topological design decisions. This paper addresses the survivable network design problem, a core model incorporating the cost and redundancy trade-offs facing network planners. Using a novel connectivity upgrade strategy, we develop several families of inequalities to strengthen a multicommodity flow-based formulation for the problem, and show that some of these inequalities are facet defining. By increasing the linear programming lower bound, the valid inequalities not only lead to better performance guarantees for heuristic solutions, but also accelerate exact and approximate solution methods. We also consider a heuristic strategy that sequentially rounds the fractional values, starting with the linear programming solution to our strong model. Extensive computational tests confirm, that the valid, inequalities, added via a cutting plane algorithm., and the heuristic procedure are very effective, and their performance is robust to changes in the network dimensions and connectivity structure. Our solution approach generates tight lower and upper bounds with average gaps that are less than 1.2% for various problem sizes and connectivity requirements.

Original languageEnglish (US)
Pages (from-to)170-186
Number of pages17
JournalOperations Research
Volume57
Issue number1
DOIs
StatePublished - Jan 1 2009

Keywords

  • Integer programming: Cutting plane/facet
  • Networks/graphs: Applications, theory

ASJC Scopus subject areas

  • Computer Science Applications
  • Management Science and Operations Research

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