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Graph theoretic relaxations of set covering and set partitioning problems

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  • El-Darzi, Elia
  • Mitra, Gautam

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  • El-Darzi, Elia & Mitra, Gautam, 1995. "Graph theoretic relaxations of set covering and set partitioning problems," European Journal of Operational Research, Elsevier, vol. 87(1), pages 109-121, November.
    • Handle: RePEc:eee:ejores:v:87:y:1995:i:1:p:109-121
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    References listed on IDEAS

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    1. Mark S. Daskin & Edmund H. Stern, 1981. "A Hierarchical Objective Set Covering Model for Emergency Medical Service Vehicle Deployment," Transportation Science, INFORMS, vol. 15(2), pages 137-152, May.
    2. Darby-Dowman, K. & Mitra, G., 1985. "An extension of set partitioning with application to scheduling problems," European Journal of Operational Research, Elsevier, vol. 21(2), pages 200-205, August.
    3. El-Darzi, E & Mitra, G, 1990. "Set covering and set partitioning: A collection of test problems," Omega, Elsevier, vol. 18(2), pages 195-201.
    4. Beasley, J. E., 1987. "An algorithm for set covering problem," European Journal of Operational Research, Elsevier, vol. 31(1), pages 85-93, July.
    5. Ali, Agha Iqbal & Thiagarajan, Hemalatha, 1989. "A network relaxation based enumeration algorithm for set partitioning," European Journal of Operational Research, Elsevier, vol. 38(1), pages 76-85, January.
    6. Ribeiro, Celso Carneiro & Minoux, Michel & Penna, Manoel Camillo, 1989. "An optimal column-generation-with-ranking algorithm for very large scale set partitioning problems in traffic assignment," European Journal of Operational Research, Elsevier, vol. 41(2), pages 232-239, July.
    7. Baker, Edward & Fisher, Michael, 1981. "Computational results for very large air crew scheduling problems," Omega, Elsevier, vol. 9(6), pages 613-618.
    8. Lavoie, Sylvie & Minoux, Michel & Odier, Edouard, 1988. "A new approach for crew pairing problems by column generation with an application to air transportation," European Journal of Operational Research, Elsevier, vol. 35(1), pages 45-58, April.
    9. Marshall L. Fisher & Pradeep Kedia, 1990. "Optimal Solution of Set Covering/Partitioning Problems Using Dual Heuristics," Management Science, INFORMS, vol. 36(6), pages 674-688, June.
    10. Fred Shepardson & Roy E. Marsten, 1980. "A Lagrangean Relaxation Algorithm for the Two Duty Period Scheduling Problem," Management Science, INFORMS, vol. 26(3), pages 274-281, March.
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    Cited by:

    1. Friberg, Christian & Haase, Knut, 1996. "An exact algorithm for the vehicle and crew scheduling problem," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 416, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    2. Chiou, Yu-Chiun & Lan, Lawrence W., 2001. "Genetic clustering algorithms," European Journal of Operational Research, Elsevier, vol. 135(2), pages 413-427, December.
    3. Bersani, Chiara & Minciardi, Riccardo & Sacile, Roberto & Trasforini, Eva, 2009. "Network planning of fuelling service stations in a near-term competitive scenario of the hydrogen economy," Socio-Economic Planning Sciences, Elsevier, vol. 43(1), pages 55-71, March.
    4. Cochran, Jeffery K. & Marquez Uribe, Alberto, 2005. "A set covering formulation for agile capacity planning within supply chains," International Journal of Production Economics, Elsevier, vol. 95(2), pages 139-149, February.

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