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Finding the K shortest hyperpaths using reoptimization

Author

Listed:
  • Nielsen, Lars Relund

    (Biometry Research Unit)

  • Pretolani, Daniele

    (Dipartimento de Matematica e Informatica)

  • Andersen, Kim Allan

    (Department of Business Studies)

Abstract

The shortest hyperpath problem is an extension of the classical shortest path problem and has applications in many different areas. Recently, algorithms for finding the K shortest hyperpaths in a directed hypergraph have been developed by Andersen, Nielsen and Pretolani. In this paper we improve the worst-case computational complexity of an algorithm for finding the K shortest hyperpaths in an acyclic hypergraph. This result is obtained by applying new reoptimization techniques for shortest hyperpaths. The algorithm turns out to be quite effective in practice and has already been successfully applied in the context of stochastic time-dependent networks, for finding the K best strategies and for solving bicriterion problems.

Suggested Citation

  • Nielsen, Lars Relund & Pretolani, Daniele & Andersen, Kim Allan, 2004. "Finding the K shortest hyperpaths using reoptimization," CORAL Working Papers L-2004-04, University of Aarhus, Aarhus School of Business, Department of Business Studies.
    • Handle: RePEc:hhb:aarbls:2004-004
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    File URL: http://www.hha.dk/afl/wp/log/L_2004_04.pdf
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    References listed on IDEAS

    as
    1. Gallo, Giorgio & Grazia Scutella, Maria, 2002. "A note on minimum makespan assembly plans," European Journal of Operational Research, Elsevier, vol. 142(2), pages 309-320, October.
    2. Pretolani, Daniele, 2000. "A directed hypergraph model for random time dependent shortest paths," European Journal of Operational Research, Elsevier, vol. 123(2), pages 315-324, June.
    3. Sang Nguyen & Stefano Pallottino & Michel Gendreau, 1998. "Implicit Enumeration of Hyperpaths in a Logit Model for Transit Networks," Transportation Science, INFORMS, vol. 32(1), pages 54-64, February.
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    Cited by:

    1. Kjeldsen, Karina Hjortshøj, 2008. "Classification of routing and scheduling problems in liner shipping," CORAL Working Papers L-2008-06, University of Aarhus, Aarhus School of Business, Department of Business Studies.
    2. Nielsen, Lars Relund & Pretolani, Daniele & Andersen, Kim Allan, 2004. "K shortest paths in stochastic time-dependent networks," CORAL Working Papers L-2004-05, University of Aarhus, Aarhus School of Business, Department of Business Studies.

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