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A Multiple Pairs Shortest Path Algorithm

Author

Listed:
  • I-Lin Wang

    (Department of Industrial and Information Management, National Cheng Kung University, No. 1, University Road, Tainan, Taiwan 701)

  • Ellis L. Johnson

    (School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0205)

  • Joel S. Sokol

    (School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0205)

Abstract

The multiple pairs shortest path problem (MPSP) arises in many applications where the shortest paths and distances between only some specific pairs of origin-destination (OD) nodes in a network are desired. The traditional repeated single-source shortest path (SSSP) and all pairs shortest paths (APSP) algorithms often do unnecessary computation to solve the MPSP problem. We propose a new shortest path algorithm to save computational work when solving the MPSP problem. Our method is especially suitable for applications with fixed network topology but changeable arc lengths and desired OD pairs. Preliminary computational experiments demonstrate our algorithm’s superiority on airline network problems over other APSP and SSSP algorithms.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ortrsc:v:39:y:2005:i:4:p:465-476
    DOI: 10.1287/trsc.1050.0124
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    References listed on IDEAS

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    1. Donald Goldfarb & Zhiying Jin, 1999. "An O(nm)-Time Network Simplex Algorithm for the Shortest Path Problem," Operations Research, INFORMS, vol. 47(3), pages 445-448, June.
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    5. Donald Goldfarb & Jianxiu Hao & Sheng-Roan Kai, 1990. "Efficient Shortest Path Simplex Algorithms," Operations Research, INFORMS, vol. 38(4), pages 624-628, August.
    6. George B. Dantzig, 1960. "On the Shortest Route Through a Network," Management Science, INFORMS, vol. 6(2), pages 187-190, January.
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    Cited by:

    1. Rosenthal, Edward C., 2017. "A cooperative game approach to cost allocation in a rapid-transit network," Transportation Research Part B: Methodological, Elsevier, vol. 97(C), pages 64-77.

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