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A meta-heuristic to minimize makespan for parallel batch machines with arbitrary job sizes

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  • Jia, Zhao-hong
  • 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 identical and parallel batch machines so as to minimize the makespan. Motivated by the computational complexity of the problem, we propose a meta-heuristic based on the max–min ant system method. Computational experiments are performed with randomly generated test data. The results show that our algorithm outperforms several of the previously studied algorithms.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:240:y:2015:i:3:p:649-665
    DOI: 10.1016/j.ejor.2014.07.039
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    References listed on IDEAS

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    1. Jolai Ghazvini, Fariborz & Dupont, Lionel, 1998. "Minimizing mean flow times criteria on a single batch processing machine with non-identical jobs sizes," International Journal of Production Economics, Elsevier, vol. 55(3), pages 273-280, August.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Melouk, Sharif & Damodaran, Purushothaman & Chang, Ping-Yu, 2004. "Minimizing makespan for single machine batch processing with non-identical job sizes using simulated annealing," International Journal of Production Economics, Elsevier, vol. 87(2), pages 141-147, January.
    7. 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.
    8. 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.
    9. 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.
    10. 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:

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    3. 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.
    4. 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.
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    6. Bin Ji & Shujing Zhang & Samson S. Yu & Binqiao Zhang, 2023. "Mathematical Modeling and A Novel Heuristic Method for Flexible Job-Shop Batch Scheduling Problem with Incompatible Jobs," Sustainability, MDPI, vol. 15(3), pages 1-26, January.
    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. Li, Kai & Jia, Zhao-hong & Leung, Joseph Y.-T., 2015. "Integrated production and delivery on parallel batching machines," European Journal of Operational Research, Elsevier, vol. 247(3), pages 755-763.
    9. Muter, İbrahim, 2020. "Exact algorithms to minimize makespan on single and parallel batch processing machines," European Journal of Operational Research, Elsevier, vol. 285(2), pages 470-483.
    10. 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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