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Stochastic Sensitivity Analysis of Maximum Flow and Shortest Route Networks

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  • Richard D. Wollmer

    (The RAND Corporation)

Abstract

This paper presents an algorithm that can be used to solve two types of network sensitivity problems. In the first, arcs are subject to breakdowns that degrade their capacities. It is required, within certain confidence limits, to find the maximum possible effect of n breakdowns on maximum flow. In the second, arcs are subject to improvements that reduce their lengths. It is required, also within certain confidence limits, to find the maximum possible effect n total improvements can have on shortest path length. Capacities resulting from breakdowns and lengths resulting from improvements are random variables specified by their mean values and variances.

Suggested Citation

  • Richard D. Wollmer, 1968. "Stochastic Sensitivity Analysis of Maximum Flow and Shortest Route Networks," Management Science, INFORMS, vol. 14(9), pages 551-564, May.
    • Handle: RePEc:inm:ormnsc:v:14:y:1968:i:9:p:551-564
    DOI: 10.1287/mnsc.14.9.551
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    Cited by:

    1. David L. Alderson & Gerald G. Brown & W. Matthew Carlyle & R. Kevin Wood, 2018. "Assessing and Improving the Operational Resilience of a Large Highway Infrastructure System to Worst-Case Losses," Transportation Science, INFORMS, vol. 52(4), pages 1012-1034, August.

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