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Minimizing total completion time on non-identical parallel batch machines with arbitrary release times using ant colony optimization

Author

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  • Zhang, Han
  • Li, Kai
  • Jia, Zhao-hong
  • Chu, Chengbin

Abstract

This paper considers the problem of scheduling a group of jobs with arbitrary release times, non-identical sizes, and different processing times on non-identical parallel batch processing machines to minimize the total completion time. A mixed-integer programming (MIP) model is firstly constructed in this paper to solve this problem. Then since the studied problem is strongly NP-hard, a modified elite ant system algorithm with the local search (MEASL) is also proposed to solve it, which is compared with several meta-heuristic algorithms and the commercial optimization solver (Gurobi) through extensive simulation experiments. Finally, the experimental results verify the effectiveness of the proposed algorithm.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:309:y:2023:i:3:p:1024-1046
    DOI: 10.1016/j.ejor.2023.02.015
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    References listed on IDEAS

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