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The first K minimum cost paths in a time-schedule network

Author

Listed:
  • Y-L Chen

    (National Central University)

  • D Rinks

    (Lousiana State University)

  • K Tang

    (Purdue University)

Abstract

The time-constrained shortest path problem is an important generalisation of the classical shortest path problem and in recent years has attracted much research interest. We consider a time-schedule network, where every node in the network has a list of pre-specified departure times and departure from a node may take place only at one of these departure times. The objective of this paper is to find the first K minimum cost simple paths subject to a total time constraint. An efficient polynomial time algorithm is developed. It is also demonstrated that the algorithm can be modified for finding the first K paths for all possible values of total time.

Suggested Citation

  • Y-L Chen & D Rinks & K Tang, 2001. "The first K minimum cost paths in a time-schedule network," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(1), pages 102-108, January.
    • Handle: RePEc:pal:jorsoc:v:52:y:2001:i:1:d:10.1057_palgrave.jors.2601028
    DOI: 10.1057/palgrave.jors.2601028
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    Citations

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    Cited by:

    1. Chen, Yen-Liang & Yang, Hsu-Hao, 2003. "Minimization of travel time and weighted number of stops in a traffic-light network," European Journal of Operational Research, Elsevier, vol. 144(3), pages 565-580, February.
    2. Yen‐Liang Chen & Kwei Tang, 2005. "Finding the Kth shortest path in a time‐schedule network," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(1), pages 93-102, February.

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