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A comparison of branch-and-bound algorithms for a family scheduling problem with identical parallel machines

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  • Dunstall, Simon
  • Wirth, Andrew

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  • Dunstall, Simon & Wirth, Andrew, 2005. "A comparison of branch-and-bound algorithms for a family scheduling problem with identical parallel machines," European Journal of Operational Research, Elsevier, vol. 167(2), pages 283-296, December.
    • Handle: RePEc:eee:ejores:v:167:y:2005:i:2:p:283-296
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    1. Azizoglu, Meral & Kirca, Omer, 1999. "On the minimization of total weighted flow time with identical and uniform parallel machines," European Journal of Operational Research, Elsevier, vol. 113(1), pages 91-100, February.
    2. Clyde L. Monma & Chris N. Potts, 1989. "On the Complexity of Scheduling with Batch Setup Times," Operations Research, INFORMS, vol. 37(5), pages 798-804, October.
    3. Michael H. Rothkopf, 1966. "Scheduling Independent Tasks on Parallel Processors," Management Science, INFORMS, vol. 12(5), pages 437-447, January.
    4. E. L. Lawler & J. M. Moore, 1969. "A Functional Equation and its Application to Resource Allocation and Sequencing Problems," Management Science, INFORMS, vol. 16(1), pages 77-84, September.
    5. Allahverdi, Ali & Gupta, Jatinder N. D. & Aldowaisan, Tariq, 1999. "A review of scheduling research involving setup considerations," Omega, Elsevier, vol. 27(2), pages 219-239, April.
    6. Webster, Scott, 1995. "Weighted flow time bounds for scheduling identical processors," European Journal of Operational Research, Elsevier, vol. 80(1), pages 103-111, January.
    7. Zhi-Long Chen & Warren B. Powell, 1999. "Solving Parallel Machine Scheduling Problems by Column Generation," INFORMS Journal on Computing, INFORMS, vol. 11(1), pages 78-94, February.
    8. H.A.J. Crauwels & C.N. Potts & L.N. Van Wassenhove, 1997. "Local search heuristics for single machine scheduling with batch set-up times to minimize total weighted completion time," Annals of Operations Research, Springer, vol. 70(0), pages 261-279, April.
    9. T. C. E. Cheng & Z.-L. Chen, 1994. "Parallel Machine Scheduling with Batch Setup Times," Operations Research, INFORMS, vol. 42(6), pages 1171-1174, December.
    10. Webster, S. T., 1993. "A priority rule for minimizing weighted flow time in a class of parallel machine scheduling problems," European Journal of Operational Research, Elsevier, vol. 70(3), pages 327-334, November.
    11. Potts, Chris N. & Kovalyov, Mikhail Y., 2000. "Scheduling with batching: A review," European Journal of Operational Research, Elsevier, vol. 120(2), pages 228-249, January.
    12. Scott Webster, 1992. "New Bounds for the Identical Parallel Processor Weighted Flow Time Problem," Management Science, INFORMS, vol. 38(1), pages 124-136, January.
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    Cited by:

    1. Allahverdi, Ali & Ng, C.T. & Cheng, T.C.E. & Kovalyov, Mikhail Y., 2008. "A survey of scheduling problems with setup times or costs," European Journal of Operational Research, Elsevier, vol. 187(3), pages 985-1032, June.
    2. Mecler, Davi & Abu-Marrul, Victor & Martinelli, Rafael & Hoff, Arild, 2022. "Iterated greedy algorithms for a complex parallel machine scheduling problem," European Journal of Operational Research, Elsevier, vol. 300(2), pages 545-560.
    3. Kramer, Arthur & Iori, Manuel & Lacomme, Philippe, 2021. "Mathematical formulations for scheduling jobs on identical parallel machines with family setup times and total weighted completion time minimization," European Journal of Operational Research, Elsevier, vol. 289(3), pages 825-840.

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