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Effective heuristic for makespan minimization in parallel batch machines with non-identical capacities

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  • Jia, Zhao-hong
  • Li, Kai
  • Leung, Joseph Y.-T.

Abstract

We consider the problem of scheduling a set of n jobs with arbitrary job sizes on a set of m parallel batch machines with non-identical capacities; the objective is to minimize the makespan. The problem is known to be NP-hard. A heuristic based on the First-Fit-Decreasing (FFD) rule is presented as well as a meta-heuristic based on Max-Min Ant System (MMAS). The performances of the two heuristics are compared with a previously studied heuristic by computational experiments. The results show that both proposed algorithms outperform the previously studied heuristic. Moreover, the MMAS heuristic obtains better solutions compared with the FFD heuristic.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:proeco:v:169:y:2015:i:c:p:1-10
    DOI: 10.1016/j.ijpe.2015.07.021
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    References listed on IDEAS

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    1. Damodaran, Purushothaman & Kumar Manjeshwar, Praveen & Srihari, Krishnaswami, 2006. "Minimizing makespan on a batch-processing machine with non-identical job sizes using genetic algorithms," International Journal of Production Economics, Elsevier, vol. 103(2), pages 882-891, October.
    2. Jolai, Fariborz, 2005. "Minimizing number of tardy jobs on a batch processing machine with incompatible job families," European Journal of Operational Research, Elsevier, vol. 162(1), pages 184-190, April.
    3. Loiola, Eliane Maria & de Abreu, Nair Maria Maia & Boaventura-Netto, Paulo Oswaldo & Hahn, Peter & Querido, Tania, 2007. "A survey for the quadratic assignment problem," European Journal of Operational Research, Elsevier, vol. 176(2), pages 657-690, January.
    4. Sung, C. S. & Choung, Y. I., 2000. "Minimizing makespan on a single burn-in oven in semiconductor manufacturing," European Journal of Operational Research, Elsevier, vol. 120(3), pages 559-574, February.
    5. Xu, Rui & Chen, Huaping & Li, Xueping, 2013. "A bi-objective scheduling problem on batch machines via a Pareto-based ant colony system," International Journal of Production Economics, Elsevier, vol. 145(1), pages 371-386.
    6. 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.
    7. Leung, Joseph Y.-T. & Li, Chung-Lun, 2008. "Scheduling with processing set restrictions: A survey," International Journal of Production Economics, Elsevier, vol. 116(2), pages 251-262, December.
    8. M. Venkataramana & N.R. Srinivasa Raghavan, 2010. "Ant colony-based algorithms for scheduling parallel batch processors with incompatible job families," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 2(1), pages 73-98.
    9. 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.
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    Cited by:

    1. Leung, Joseph Y.-T. & Li, Chung-Lun, 2016. "Scheduling with processing set restrictions: A literature update," International Journal of Production Economics, Elsevier, vol. 175(C), pages 1-11.
    2. Peng Wu & Junheng Cheng & Feng Chu, 2021. "Large-scale energy-conscious bi-objective single-machine batch scheduling under time-of-use electricity tariffs via effective iterative heuristics," Annals of Operations Research, Springer, vol. 296(1), pages 471-494, January.
    3. Zhang, Han & Li, Kai & Jia, Zhao-hong & Chu, Chengbin, 2023. "Minimizing total completion time on non-identical parallel batch machines with arbitrary release times using ant colony optimization," European Journal of Operational Research, Elsevier, vol. 309(3), pages 1024-1046.
    4. Wei Jiang & Yilan Shen & Lingxuan Liu & Xiancong Zhao & Leyuan Shi, 2022. "A new method for a class of parallel batch machine scheduling problem," Flexible Services and Manufacturing Journal, Springer, vol. 34(2), pages 518-550, June.
    5. 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.
    6. Li, Shuguang, 2017. "Approximation algorithms for scheduling jobs with release times and arbitrary sizes on batch machines with non-identical capacities," European Journal of Operational Research, Elsevier, vol. 263(3), pages 815-826.
    7. Wang, Haibo & Alidaee, Bahram, 2019. "Effective heuristic for large-scale unrelated parallel machines scheduling problems," Omega, Elsevier, vol. 83(C), pages 261-274.
    8. Zhou, Shengchao & Xie, Jianhui & Du, Ni & Pang, Yan, 2018. "A random-keys genetic algorithm for scheduling unrelated parallel batch processing machines with different capacities and arbitrary job sizes," Applied Mathematics and Computation, Elsevier, vol. 334(C), pages 254-268.

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