IDEAS home Printed from https://ideas.repec.org/p/hhb/aarbls/2004-004.html
   My bibliography  Save this paper

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
    as

    Download full text from publisher

    File URL: http://www.hha.dk/afl/wp/log/L_2004_04.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Valentina Trozzi & Guido Gentile & Ioannis Kaparias & Michael Bell, 2015. "Effects of Countdown Displays in Public Transport Route Choice Under Severe Overcrowding," Networks and Spatial Economics, Springer, vol. 15(3), pages 823-842, September.
    2. Tarun Rambha & Stephen D. Boyles & S. Travis Waller, 2016. "Adaptive Transit Routing in Stochastic Time-Dependent Networks," Transportation Science, INFORMS, vol. 50(3), pages 1043-1059, August.
    3. Pretolani, Daniele, 2013. "Finding hypernetworks in directed hypergraphs," European Journal of Operational Research, Elsevier, vol. 230(2), pages 226-230.
    4. Nielsen, Lars Relund & Andersen, Kim Allan & Pretolani, Daniele, 2006. "Bicriterion a priori route choice in stochastic time-dependent networks," CORAL Working Papers L-2006-10, University of Aarhus, Aarhus School of Business, Department of Business Studies.
    5. Stephen Boyles & S. Waller, 2011. "Optimal Information Location for Adaptive Routing," Networks and Spatial Economics, Springer, vol. 11(2), pages 233-254, June.
    6. Elnaz Miandoabchi & Reza Farahani & W. Szeto, 2012. "Bi-objective bimodal urban road network design using hybrid metaheuristics," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(4), pages 583-621, December.
    7. Tsung-Sheng Chang & Linda K. Nozick & Mark A. Turnquist, 2005. "Multiobjective Path Finding in Stochastic Dynamic Networks, with Application to Routing Hazardous Materials Shipments," Transportation Science, INFORMS, vol. 39(3), pages 383-399, August.
    8. Cortés, Cristián E. & Donoso, Pedro & Gutiérrez, Leonel & Herl, Daniel & Muñoz, Diego, 2023. "A recursive stochastic transit equilibrium model estimated using passive data from Santiago, Chile," Transportation Research Part B: Methodological, Elsevier, vol. 174(C).
    9. Prakash, A. Arun, 2018. "Pruning algorithm for the least expected travel time path on stochastic and time-dependent networks," Transportation Research Part B: Methodological, Elsevier, vol. 108(C), pages 127-147.
    10. Nassir, Neema & Hickman, Mark & Ma, Zhen-Liang, 2019. "A strategy-based recursive path choice model for public transit smart card data," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 528-548.
    11. He Huang & Song Gao, 2018. "Trajectory-Adaptive Routing in Dynamic Networks with Dependent Random Link Travel Times," Transportation Science, INFORMS, vol. 52(1), pages 102-117, January.
    12. Liu, Qi & Chow, Joseph Y.J., 2022. "Efficient and stable data-sharing in a public transit oligopoly as a coopetitive game," Transportation Research Part B: Methodological, Elsevier, vol. 163(C), pages 64-87.
    13. Bell, Michael G.H. & Trozzi, Valentina & Hosseinloo, Solmaz Haji & Gentile, Guido & Fonzone, Achille, 2012. "Time-dependent Hyperstar algorithm for robust vehicle navigation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(5), pages 790-800.
    14. Wen, Liang & Çatay, Bülent & Eglese, Richard, 2014. "Finding a minimum cost path between a pair of nodes in a time-varying road network with a congestion charge," European Journal of Operational Research, Elsevier, vol. 236(3), pages 915-923.
    15. Nielsen, Lars Relund & Kristensen, Anders Ringgaard, 2006. "Finding the K best policies in a finite-horizon Markov decision process," European Journal of Operational Research, Elsevier, vol. 175(2), pages 1164-1179, December.
    16. Wu, Jianjun & Qu, Yunchao & Sun, Huijun & Yin, Haodong & Yan, Xiaoyong & Zhao, Jiandong, 2019. "Data-driven model for passenger route choice in urban metro network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 787-798.
    17. Tan, K.C. & Chew, Y.H. & Lee, L.H., 2006. "A hybrid multi-objective evolutionary algorithm for solving truck and trailer vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 172(3), pages 855-885, August.
    18. Srinivasan, Karthik K. & Prakash, A.A. & Seshadri, Ravi, 2014. "Finding most reliable paths on networks with correlated and shifted log–normal travel times," Transportation Research Part B: Methodological, Elsevier, vol. 66(C), pages 110-128.
    19. Guido Gentile & Sang Nguyen & Stefano Pallottino, 2005. "Route Choice on Transit Networks with Online Information at Stops," Transportation Science, INFORMS, vol. 39(3), pages 289-297, August.
    20. Elnaz Miandoabchi & Reza Farahani & Wout Dullaert & W. Szeto, 2012. "Hybrid Evolutionary Metaheuristics for Concurrent Multi-Objective Design of Urban Road and Public Transit Networks," Networks and Spatial Economics, Springer, vol. 12(3), pages 441-480, September.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hhb:aarbls:2004-004. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Helle Vinbaek Stenholt (email available below). General contact details of provider: https://edirc.repec.org/data/ifhhadk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.