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Fast and fine quickest path algorithm

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  • Sedeño-Noda, Antonio
  • González-Barrera, Jonathan D.

Abstract

We address the quickest path problem proposing a new algorithm based on the fact that its optimal solution corresponds to a supported non-dominated point in the objective space of the minsum–maxmin bicriteria path problem. This result allows us to design a label setting algorithm which improves all existing algorithms in the state-of-the-art, as it is shown in the extensive experiments carried out considering synthetic and real networks.

Suggested Citation

  • Sedeño-Noda, Antonio & González-Barrera, Jonathan D., 2014. "Fast and fine quickest path algorithm," European Journal of Operational Research, Elsevier, vol. 238(2), pages 596-606.
    • Handle: RePEc:eee:ejores:v:238:y:2014:i:2:p:596-606
    DOI: 10.1016/j.ejor.2014.04.028
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    References listed on IDEAS

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    1. Michael Hart Moore, 1976. "On the Fastest Route for Convoy-Type Traffic in Flowrate-Constrained Networks," Transportation Science, INFORMS, vol. 10(2), pages 113-124, May.
    2. D. Klingman & A. Napier & J. Stutz, 1974. "NETGEN: A Program for Generating Large Scale Capacitated Assignment, Transportation, and Minimum Cost Flow Network Problems," Management Science, INFORMS, vol. 20(5), pages 814-821, January.
    3. Marta Pascoal & M. Captivo & João Clímaco, 2006. "A comprehensive survey on the quickest path problem," Annals of Operations Research, Springer, vol. 147(1), pages 5-21, October.
    4. M. Pascoal & M. Captivo & J. Clímaco, 2007. "Computational experiments with a lazy version of a K quickest simple path ranking algorithm," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(2), pages 372-382, December.
    5. Herminia Calvete & Lourdes del-Pozo & José Iranzo, 2012. "Algorithms for the quickest path problem and the reliable quickest path problem," Computational Management Science, Springer, vol. 9(2), pages 255-272, May.
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    Cited by:

    1. Forghani-elahabad, Majid & Mahdavi-Amiri, Nezam, 2015. "An efficient algorithm for the multi-state two separate minimal paths reliability problem with budget constraint," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 472-481.
    2. Mehdi Ghiyasvand & Azam Ramezanipour, 2018. "Solving the MCQP, MLT, and MMLT problems and computing weakly and strongly stable quickest paths," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 68(2), pages 217-230, June.

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