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Single-commodity network design with random edge capacities

Author

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  • Thapalia, Biju K.
  • Crainic, Teodor Gabriel
  • Kaut, Michal
  • Wallace, Stein W.

Abstract

This paper examines the single-commodity network design problem with stochastic edge capacities. We characterize the structures of the optimal designs and compare with the deterministic counterparts. We do this partly to understand what constitutes robust network designs, but also to construct a heuristic for the stochastic problem, leading to optimality gaps of about 10%. In our view, that is a rather good result for problems that otherwise cannot be solved at all.

Suggested Citation

  • Thapalia, Biju K. & Crainic, Teodor Gabriel & Kaut, Michal & Wallace, Stein W., 2012. "Single-commodity network design with random edge capacities," European Journal of Operational Research, Elsevier, vol. 220(2), pages 394-403.
    • Handle: RePEc:eee:ejores:v:220:y:2012:i:2:p:394-403
    DOI: 10.1016/j.ejor.2012.01.026
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    References listed on IDEAS

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    1. Chen, Anthony & Yang, Hai & Lo, Hong K. & Tang, Wilson H., 2002. "Capacity reliability of a road network: an assessment methodology and numerical results," Transportation Research Part B: Methodological, Elsevier, vol. 36(3), pages 225-252, March.
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    6. Biju Thapalia & Stein Wallace & Michal Kaut & Teodor Crainic, 2012. "Single source single-commodity stochastic network design," Computational Management Science, Springer, vol. 9(1), pages 139-160, February.
    7. De Wolf, D. & Smeers, Y., 1996. "Optimal dimensioning of pipe networks with application to gas transmission networks," LIDAM Reprints CORE 1249, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Michal Kaut & Kjetil Midthun & Adrian Werner & Asgeir Tomasgard & Lars Hellemo & Marte Fodstad, 2014. "Multi-horizon stochastic programming," Computational Management Science, Springer, vol. 11(1), pages 179-193, January.
    2. Vaagen, Hajnalka & Kaut, Michal & Wallace, Stein W., 2017. "The impact of design uncertainty in engineer-to-order project planning," European Journal of Operational Research, Elsevier, vol. 261(3), pages 1098-1109.
    3. Kathryn M. Schumacher & Richard Li‐Yang Chen & Amy E.M. Cohn & Jeremy Castaing, 2016. "Algorithm to solve a chance‐constrained network capacity design problem with stochastic demands and finite support," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(3), pages 236-246, April.

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