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An Addendum on Postoptimality of Maximally Reliable Path

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  • Ahmad Hosseini
  • Bita Kabir Baiki

Abstract

This paper studies one aspect of the robustness of optimal solutions to the \textit{maximally reliable path} and investigates the infimum and supremum multiplicative perturbations each individual arc can tolerate preserving the optimality of a given optimal path. When such marginal values are to be determined simultaneously for all arcs in a network, considerable duplication of effort can be avoided through the use of our proposed approach.

Suggested Citation

  • Ahmad Hosseini & Bita Kabir Baiki, 2017. "An Addendum on Postoptimality of Maximally Reliable Path," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 9(3), pages 23-29, June.
    • Handle: RePEc:ibn:jmrjnl:v:9:y:2017:i:3:p:23-29
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    References listed on IDEAS

    as
    1. Salah E. Elmaghraby, 1964. "Sensitivity Analysis of Multiterminal Flow Networks," Operations Research, INFORMS, vol. 12(5), pages 680-688, October.
    2. Xing, Tao & Zhou, Xuesong, 2011. "Finding the most reliable path with and without link travel time correlation: A Lagrangian substitution based approach," Transportation Research Part B: Methodological, Elsevier, vol. 45(10), pages 1660-1679.
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    More about this item

    Keywords

    network theory; maximally reliable path;

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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