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Updating Paths in Time-Varying Networks Given Arc Weight Changes

Author

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  • Elise Miller-Hooks

    (Department of Civil and Environmental Engineering, 1173 Glenn Martin Hall, University of Maryland, College Park, Maryland 20742)

  • Baiyu Yang

    (Operations Research and Decision Support, American Airlines, 4333 Amon Carter Boulevard, MD 5358, Fort Worth, Texas 76155)

Abstract

Many transportation applications, including applications in intelligent transportation systems, require the solution of a series of shortest path problems in which only the travel time along a set of arcs of the network change from one problem instance to the next. One could use an existing path algorithm to solve each problem instance independently as it arises. However, significant savings in computation time can often be achieved through the use of a reoptimization algorithm that would begin from the prior solution in determining the updated optimal solution for the given arc travel-time changes. Such quick solution is critical for providing routing instructions to travelers in real time as travel-time information is retrieved from the traffic network. Numerous works have presented reoptimization techniques for use in updating shortest path trees in deterministic and static networks; however, it appears that no reoptimization technique exists in the literature for updating paths where future travel times in time-varying networks change. In this paper, such procedures are proposed. The proposed techniques can provide updated solutions given simultaneous and arbitrary changes (increasing and decreasing in value) in any number of network arcs. Further, this technique can be extended for use in stochastic networks.

Suggested Citation

  • Elise Miller-Hooks & Baiyu Yang, 2005. "Updating Paths in Time-Varying Networks Given Arc Weight Changes," Transportation Science, INFORMS, vol. 39(4), pages 451-464, November.
    • Handle: RePEc:inm:ortrsc:v:39:y:2005:i:4:p:451-464
    DOI: 10.1287/trsc.1040.0112
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    References listed on IDEAS

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    1. Elise D. Miller-Hooks & Hani S. Mahmassani, 2000. "Least Expected Time Paths in Stochastic, Time-Varying Transportation Networks," Transportation Science, INFORMS, vol. 34(2), pages 198-215, May.
    2. Beroggi, Giampiero E. G., 1994. "A real-time routing model for hazardous materials," European Journal of Operational Research, Elsevier, vol. 75(3), pages 508-520, June.
    3. Yang, Baiyu & Miller-Hooks, Elise, 2004. "Adaptive routing considering delays due to signal operations," Transportation Research Part B: Methodological, Elsevier, vol. 38(5), pages 385-413, June.
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    Cited by:

    1. Shen, Zuo-Jun Max & Pannala, Jyothsna & Rai, Rohit & Tsoi, Tsz Shing, 2008. "Modeling Transportation Networks During Disruptions and Emergency Evacuations," University of California Transportation Center, Working Papers qt1257t9zn, University of California Transportation Center.
    2. 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.
    3. Schmidt, Carise E. & Silva, Arinei C.L. & Darvish, Maryam & Coelho, Leandro C., 2019. "The time-dependent location-routing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 128(C), pages 293-315.

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