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Connectivity Upgrade Models for Survivable Network Design

Author

Listed:
  • Anantaram Balakrishnan

    (McCombs School of Business, The University of Texas at Austin, Austin, Texas 78712)

  • Prakash Mirchandani

    (Katz Graduate School of Business, University of Pittsburgh, Pittsburgh, Pennsylvania 15260)

  • Harihara Prasad Natarajan

    (School of Business Administration, University of Miami, Coral Gables, Florida 33124)

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.

Suggested Citation

  • Anantaram Balakrishnan & Prakash Mirchandani & Harihara Prasad Natarajan, 2009. "Connectivity Upgrade Models for Survivable Network Design," Operations Research, INFORMS, vol. 57(1), pages 170-186, February.
    • Handle: RePEc:inm:oropre:v:57:y:2009:i:1:p:170-186
    DOI: 10.1287/opre.1080.0579
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    References listed on IDEAS

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    1. Anantaram Balakrishnan & Thomas L. Magnanti & Prakash Mirchandani, 1994. "A Dual-Based Algorithm for Multi-Level Network Design," Management Science, INFORMS, vol. 40(5), pages 567-581, May.
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    Citations

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    Cited by:

    1. Oya Ekin Karaşan & A. Ridha Mahjoub & Onur Özkök & Hande Yaman, 2014. "Survivability in Hierarchical Telecommunications Networks Under Dual Homing," INFORMS Journal on Computing, INFORMS, vol. 26(1), pages 1-15, February.
    2. Nima Haghighi & S. Kiavash Fayyaz & Xiaoyue Cathy Liu & Tony H. Grubesic & Ran Wei, 2018. "A Multi-Scenario Probabilistic Simulation Approach for Critical Transportation Network Risk Assessment," Networks and Spatial Economics, Springer, vol. 18(1), pages 181-203, March.
    3. Agarwal, Y.K. & Venkateshan, Prahalad, 2014. "Survivable network design with shared-protection routing," European Journal of Operational Research, Elsevier, vol. 238(3), pages 836-845.
    4. Anantaram Balakrishnan & Gang Li & Prakash Mirchandani, 2017. "Optimal Network Design with End-to-End Service Requirements," Operations Research, INFORMS, vol. 65(3), pages 729-750, June.
    5. Yupo Chan, 2015. "Network Throughput and Reliability: Preventing Hazards and Attacks Through Gaming—Part I: Modeling," Springer Series in Reliability Engineering, in: Kjell Hausken & Jun Zhuang (ed.), Game Theoretic Analysis of Congestion, Safety and Security, edition 127, pages 113-139, Springer.
    6. Yogesh Agarwal, 2013. "Design of Survivable Networks Using Three- and Four-Partition Facets," Operations Research, INFORMS, vol. 61(1), pages 199-213, February.
    7. Ghavami, Seyed Morsal, 2019. "Multi-criteria spatial decision support system for identifying strategic roads in disaster situations," International Journal of Critical Infrastructure Protection, Elsevier, vol. 24(C), pages 23-36.
    8. Naga V. C. Gudapati & Enrico Malaguti & Michele Monaci, 2022. "Network Design with Service Requirements: Scaling-up the Size of Solvable Problems," INFORMS Journal on Computing, INFORMS, vol. 34(5), pages 2571-2582, September.
    9. Balakrishnan, Anantaram & Banciu, Mihai & Glowacka, Karolina & Mirchandani, Prakash, 2013. "Hierarchical approach for survivable network design," European Journal of Operational Research, Elsevier, vol. 225(2), pages 223-235.

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