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A Decomposition Algorithm for Shortest Paths in a Network

Author

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  • T. C. Hu

    (The University of Wisconsin, Madison, Wisconsin)

Abstract

Given an n -node network with lengths associated with arcs: the problem is to find the shortest paths between every pair of nodes in the network. If the network has less than n ( n − 1) arcs, then it is possible to treat parts of the network at a time and then get the shortest paths between every pair of nodes. This decomposition algorithm saves the amount of computation as well as the storage requirement of a computer.

Suggested Citation

  • T. C. Hu, 1968. "A Decomposition Algorithm for Shortest Paths in a Network," Operations Research, INFORMS, vol. 16(1), pages 91-102, February.
    • Handle: RePEc:inm:oropre:v:16:y:1968:i:1:p:91-102
    DOI: 10.1287/opre.16.1.91
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    Cited by:

    1. Heinemann, Hergen H., 1971. "Ein allgemeines Dekompositionsverfahren fuer lineare Optimierungsprobleme [A General Decomposition Algorithm for Linear Optimization Problems]," MPRA Paper 28842, University Library of Munich, Germany.
    2. I-Lin Wang & Ellis L. Johnson & Joel S. Sokol, 2005. "A Multiple Pairs Shortest Path Algorithm," Transportation Science, INFORMS, vol. 39(4), pages 465-476, November.

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