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A Sensitivity Analysis of Multicommodity Network Flows

Author

Listed:
  • John J. Jarvis

    (Georgia Institute of Technology, Atlanta, Georgia)

  • Oscar Mejia Martinez

    (Enka de Columbia, Medellin, Columbia)

Abstract

Given the multicommodity flow solution for a current transportation or communication network, planners often require some kind of heuristic measure of the effectiveness of new links which might potentially be added to the network. Exact procedures are usually prohibitive or expensive to use. This paper suggests the use of the dual variables associated with the new arcs. The paper also develops an efficient method for determining these dual variables from the current solution.

Suggested Citation

  • John J. Jarvis & Oscar Mejia Martinez, 1977. "A Sensitivity Analysis of Multicommodity Network Flows," Transportation Science, INFORMS, vol. 11(4), pages 299-306, November.
  • Handle: RePEc:inm:ortrsc:v:11:y:1977:i:4:p:299-306
    DOI: 10.1287/trsc.11.4.299
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    Cited by:

    1. Ilfat Ghamlouche & Teodor Gabriel Crainic & Michel Gendreau, 2003. "Cycle-Based Neighbourhoods for Fixed-Charge Capacitated Multicommodity Network Design," Operations Research, INFORMS, vol. 51(4), pages 655-667, August.
    2. Teodor Gabriel Crainic & Michel Gendreau & Judith M. Farvolden, 2000. "A Simplex-Based Tabu Search Method for Capacitated Network Design," INFORMS Journal on Computing, INFORMS, vol. 12(3), pages 223-236, August.

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