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Metaheuristics for scheduling jobs with incompatible families on parallel batching machines

Author

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  • C Almeder

    (Vienna University of Economics and Business, Vienna, Austria)

  • L Mönch

    (University of Hagen, Hagen, Germany)

Abstract

In this paper, we discuss the scheduling of jobs with incompatible families on parallel batching machines. The performance measure is total weighted tardiness. This research is motivated by a scheduling problem found in the diffusion and oxidation areas of semiconductor wafer fabrication where the machines can be modelled as parallel batch processors. Given that this scheduling problem is NP-hard, we suggest an ant colony optimization (ACO) and a variable neighbourhood search (VNS) approach. Both metaheuristics are hybridized with a decomposition heuristic and a local search scheme. We compare the performance of the two algorithms with that of a genetic algorithm (GA) based on extensive computational experiments. The VNS approach outperforms the ACO and GA approach with respect to time and solution quality.

Suggested Citation

  • C Almeder & L Mönch, 2011. "Metaheuristics for scheduling jobs with incompatible families on parallel batching machines," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(12), pages 2083-2096, December.
    • Handle: RePEc:pal:jorsoc:v:62:y:2011:i:12:p:2083-2096
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    Citations

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    Cited by:

    1. Jia, Zhao-hong & Leung, Joseph Y.-T., 2015. "A meta-heuristic to minimize makespan for parallel batch machines with arbitrary job sizes," European Journal of Operational Research, Elsevier, vol. 240(3), pages 649-665.
    2. Jia, Zhao-hong & Li, Kai & Leung, Joseph Y.-T., 2015. "Effective heuristic for makespan minimization in parallel batch machines with non-identical capacities," International Journal of Production Economics, Elsevier, vol. 169(C), pages 1-10.
    3. Eduardo Queiroga & Rian G. S. Pinheiro & Quentin Christ & Anand Subramanian & Artur A. Pessoa, 2021. "Iterated local search for single machine total weighted tardiness batch scheduling," Journal of Heuristics, Springer, vol. 27(3), pages 353-438, June.
    4. Jianxin Fang & Brenda Cheang & Andrew Lim, 2023. "Problems and Solution Methods of Machine Scheduling in Semiconductor Manufacturing Operations: A Survey," Sustainability, MDPI, vol. 15(17), pages 1-44, August.
    5. Liji Shen & Lars Mönch & Udo Buscher, 2013. "An iterative approach for the serial batching problem with parallel machines and job families," Annals of Operations Research, Springer, vol. 206(1), pages 425-448, July.
    6. Bin Ji & Xin Xiao & Samson S. Yu & Guohua Wu, 2023. "A Hybrid Large Neighborhood Search Method for Minimizing Makespan on Unrelated Parallel Batch Processing Machines with Incompatible Job Families," Sustainability, MDPI, vol. 15(5), pages 1-25, February.
    7. Fowler, John W. & Mönch, Lars, 2022. "A survey of scheduling with parallel batch (p-batch) processing," European Journal of Operational Research, Elsevier, vol. 298(1), pages 1-24.
    8. Huber, Jakob & Stuckenschmidt, Heiner, 2021. "Intraday shelf replenishment decision support for perishable goods," International Journal of Production Economics, Elsevier, vol. 231(C).

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