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Letter to the Editor—Comments on a Paper By Romesh Saigal: “A Constrained Shortest Route Problem”

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  • Marc Rosseel

    (Yale University, New Haven, Connecticut)

Abstract

Romesh Saigal presents a zero-one linear program and a dynamic programming algorithm for finding the shortest route containing exactly q arcs from node 1 to node n in a network ( N , A ) with distances c ( i,j ). This note shows that the linear programming formulation and his extension based on it are defective, and that the dynamic programming algorithm can lead to suboptimal solutions, but a minor change in the dynamic programming formulation relieves the difficulty.

Suggested Citation

  • Marc Rosseel, 1968. "Letter to the Editor—Comments on a Paper By Romesh Saigal: “A Constrained Shortest Route Problem”," Operations Research, INFORMS, vol. 16(6), pages 1232-1234, December.
    • Handle: RePEc:inm:oropre:v:16:y:1968:i:6:p:1232-1234
    DOI: 10.1287/opre.16.6.1232
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