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Three-stage approaches for optimizing some variations of the resource constrained shortest-path sub-problem in a column generation context

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  • Zhu, Xiaoyan
  • Wilhelm, Wilbert E.

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  • Zhu, Xiaoyan & Wilhelm, Wilbert E., 2007. "Three-stage approaches for optimizing some variations of the resource constrained shortest-path sub-problem in a column generation context," European Journal of Operational Research, Elsevier, vol. 183(2), pages 564-577, December.
  • Handle: RePEc:eee:ejores:v:183:y:2007:i:2:p:564-577
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    1. 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.
    2. Kaj Holmberg & Di Yuan, 2003. "A Multicommodity Network-Flow Problem with Side Constraints on Paths Solved by Column Generation," INFORMS Journal on Computing, INFORMS, vol. 15(1), pages 42-57, February.
    3. 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.
    4. Dudzinski, Krzysztof & Walukiewicz, Stanislaw, 1987. "Exact methods for the knapsack problem and its generalizations," European Journal of Operational Research, Elsevier, vol. 28(1), pages 3-21, January.
    5. Marshall L. Fisher, 1981. "The Lagrangian Relaxation Method for Solving Integer Programming Problems," Management Science, INFORMS, vol. 27(1), pages 1-18, January.
    6. Prabhakant Sinha & Andris A. Zoltners, 1979. "The Multiple-Choice Knapsack Problem," Operations Research, INFORMS, vol. 27(3), pages 503-515, June.
    7. Jin Y. Yen, 1971. "Finding the K Shortest Loopless Paths in a Network," Management Science, INFORMS, vol. 17(11), pages 712-716, July.
    8. Nauss, Robert M., 1978. "The 0-1 knapsack problem with multiple choice constraints," European Journal of Operational Research, Elsevier, vol. 2(2), pages 125-131, March.
    9. A. Mingozzi & M. A. Boschetti & S. Ricciardelli & L. Bianco, 1999. "A Set Partitioning Approach to the Crew Scheduling Problem," Operations Research, INFORMS, vol. 47(6), pages 873-888, December.
    10. Julien Bramel & David Simchi-Levi, 1996. "Probabilistic Analyses and Practical Algorithms for the Vehicle Routing Problem with Time Windows," Operations Research, INFORMS, vol. 44(3), pages 501-509, June.
    11. Martin Desrochers & François Soumis, 1989. "A Column Generation Approach to the Urban Transit Crew Scheduling Problem," Transportation Science, INFORMS, vol. 23(1), pages 1-13, February.
    12. A. W. J. Kolen & A. H. G. Rinnooy Kan & H. W. J. M. Trienekens, 1987. "Vehicle Routing with Time Windows," Operations Research, INFORMS, vol. 35(2), pages 266-273, April.
    13. Avella, Pasquale & Boccia, Maurizio & Sforza, Antonio, 2002. "A penalty function heuristic for the resource constrained shortest path problem," European Journal of Operational Research, Elsevier, vol. 142(2), pages 221-230, October.
    14. Wilhelm, Wilbert & Liang, Dong & Rao, Brijesh & Warrier, Deepak & Zhu, Xiaoyan & Bulusu, Sharath, 2005. "Design of international assembly systems and their supply chains under NAFTA," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 41(6), pages 467-493, November.
    15. Robert A. Russell, 1995. "Hybrid Heuristics for the Vehicle Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 29(2), pages 156-166, May.
    16. 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. Li, Xiangyong & Lin, Shaochong & Tian, Peng & Aneja, Y.P., 2017. "Models and column generation approach for the resource-constrained minimum cost path problem with relays," Omega, Elsevier, vol. 66(PA), pages 79-90.
    2. Wang, Li & Yang, Lixing & Gao, Ziyou, 2016. "The constrained shortest path problem with stochastic correlated link travel times," European Journal of Operational Research, Elsevier, vol. 255(1), pages 43-57.

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