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A computational study of solution approaches for the resource constrained elementary shortest path problem

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  • Luigi Di Puglia Pugliese
  • Francesca Guerriero

Abstract

We present the results of a computational investigation of solution approaches for the resource constrained elementary shortest path problem ( $\mathcal{RCESPP}$ ). In particular, the best known algorithms are tested on several problem instances taken from literature. The main aims are to provide a detailed state of the art and to evaluate methods that turn out to be the most promising for solving the problem under investigation. This work represents the first attempt to computationally compare solution approaches for the $\mathcal{RCESPP}$ . Copyright Springer Science+Business Media, LLC 2012

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  • Luigi Di Puglia Pugliese & Francesca Guerriero, 2012. "A computational study of solution approaches for the resource constrained elementary shortest path problem," Annals of Operations Research, Springer, vol. 201(1), pages 131-157, December.
  • Handle: RePEc:spr:annopr:v:201:y:2012:i:1:p:131-157:10.1007/s10479-012-1162-x
    DOI: 10.1007/s10479-012-1162-x
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    References listed on IDEAS

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    1. Martin Desrochers & Jacques Desrosiers & Marius Solomon, 1992. "A New Optimization Algorithm for the Vehicle Routing Problem with Time Windows," Operations Research, INFORMS, vol. 40(2), pages 342-354, April.
    2. Santos, Luis & Coutinho-Rodrigues, João & Current, John R., 2007. "An improved solution algorithm for the constrained shortest path problem," Transportation Research Part B: Methodological, Elsevier, vol. 41(7), pages 756-771, August.
    3. Mauro Dell’Amico & Giovanni Righini & Matteo Salani, 2006. "A Branch-and-Price Approach to the Vehicle Routing Problem with Simultaneous Distribution and Collection," Transportation Science, INFORMS, vol. 40(2), pages 235-247, May.
    4. Desrochers, Martin & Soumis, Francois, 1988. "A reoptimization algorithm for the shortest path problem with time windows," European Journal of Operational Research, Elsevier, vol. 35(2), pages 242-254, May.
    5. Cynthia Barnhart & Natashia L. Boland & Lloyd W. Clarke & Ellis L. Johnson & George L. Nemhauser & Rajesh G. Shenoi, 1998. "Flight String Models for Aircraft Fleeting and Routing," Transportation Science, INFORMS, vol. 32(3), pages 208-220, August.
    6. Moshe Dror, 1994. "Note on the Complexity of the Shortest Path Models for Column Generation in VRPTW," Operations Research, INFORMS, vol. 42(5), pages 977-978, October.
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    Cited by:

    1. Martinelli, Rafael & Pecin, Diego & Poggi, Marcus, 2014. "Efficient elementary and restricted non-elementary route pricing," European Journal of Operational Research, Elsevier, vol. 239(1), pages 102-111.
    2. P. Festa & F. Guerriero & A. Napoletano, 2019. "An auction-based approach for the re-optimization shortest path tree problem," Computational Optimization and Applications, Springer, vol. 74(3), pages 851-893, December.
    3. Luigi Di Puglia Pugliese & Francesca Guerriero, 2016. "On the shortest path problem with negative cost cycles," Computational Optimization and Applications, Springer, vol. 63(2), pages 559-583, March.

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