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Column generation heuristics for multiple machine, multiple orders per job scheduling problems

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  • Jagadish Jampani
  • Scott Mason

Abstract

Front opening unified pods (FOUPs) are used to store and transport silicon wafers in 300-mm semiconductor wafer fabs. To achieve production efficiencies, wafers are grouped together in FOUPs without regard to the originating customer placing the order. In the resulting multiple orders per job (moj) scheduling problem, scheduling is performed at the FOUP (i.e., aggregated order) level, while scheduling performance is assessed per individual customer order. Column generation heuristics are presented for single and parallel machine moj scheduling problems to minimize total weighted order completion time. The proposed heuristics obtain near-optimal solutions very quickly, outperforming competing approaches in the literature. Copyright Springer Science+Business Media, LLC 2008

Suggested Citation

  • Jagadish Jampani & Scott Mason, 2008. "Column generation heuristics for multiple machine, multiple orders per job scheduling problems," Annals of Operations Research, Springer, vol. 159(1), pages 261-273, March.
    • Handle: RePEc:spr:annopr:v:159:y:2008:i:1:p:261-273:10.1007/s10479-007-0281-2
    DOI: 10.1007/s10479-007-0281-2
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    References listed on IDEAS

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    1. George B. Dantzig & Philip Wolfe, 1960. "Decomposition Principle for Linear Programs," Operations Research, INFORMS, vol. 8(1), pages 101-111, February.
    2. J.M. van den Akker & C.A.J. Hurkens & M.W.P. Savelsbergh, 2000. "Time-Indexed Formulations for Machine Scheduling Problems: Column Generation," INFORMS Journal on Computing, INFORMS, vol. 12(2), pages 111-124, May.
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    Cited by:

    1. Mason, Scott J. & Chen, Jen-Shiang, 2010. "Scheduling multiple orders per job in a single machine to minimize total completion time," European Journal of Operational Research, Elsevier, vol. 207(1), pages 70-77, November.
    2. Oleh Sobeyko & Lars Mönch, 2015. "Grouping genetic algorithms for solving single machine multiple orders per job scheduling problems," Annals of Operations Research, Springer, vol. 235(1), pages 709-739, December.

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