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Scheduling a single semi-continuous batching machine

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  • Tang, Lixin
  • Zhao, Yufang

Abstract

This paper addresses a new problem, called semi-continuous batch scheduling, which arises in the heating-operation of tube-billets in the steel industry. Each heating furnace can be regarded as a semi-continuous batching machine, which can handle up to C jobs simultaneously. The jobs in the same batch enter and leave the machine semi-continuously, which differs from the traditional batching machine scheduling where the jobs in same batch have a starting time and a finishing time. In this paper the processing time of a batch depends on the capacity of the semi-continuous batching machine, the longest processing time of jobs in the batch and its size. The objectives are to schedule jobs on the machine so that the makespan and the total completion time are minimized. A schedule for a semi-continuous batching machine consists of a batching and sequencing for the batches. We propose the optimal properties of two different objective functions and present the different dynamic programming algorithms with a running time of O(n2), respectively.

Suggested Citation

  • Tang, Lixin & Zhao, Yufang, 2008. "Scheduling a single semi-continuous batching machine," Omega, Elsevier, vol. 36(6), pages 992-1004, December.
    • Handle: RePEc:eee:jomega:v:36:y:2008:i:6:p:992-1004
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    References listed on IDEAS

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    Cited by:

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    3. Mujawar, Sachin & Huang, Simin & Nagi, Rakesh, 2012. "Scheduling to minimize stringer utilization for continuous annealing operations," Omega, Elsevier, vol. 40(4), pages 437-444.
    4. Slotnick, Susan A., 2011. "Optimal and heuristic lead-time quotation for an integrated steel mill with a minimum batch size," European Journal of Operational Research, Elsevier, vol. 210(3), pages 527-536, May.
    5. Zhang, Hongbin & Yang, Yu & Wu, Feng, 2024. "Scheduling a set of jobs with convex piecewise linear cost functions on a single-batch-processing machine," Omega, Elsevier, vol. 122(C).
    6. Cheng, Bayi & Zhu, Huijun & Li, Kai & Li, Yongjun, 2019. "Optimization of batch operations with a truncated batch-position-based learning effect," Omega, Elsevier, vol. 85(C), pages 134-143.
    7. Husseinzadeh Kashan, Ali & Ozturk, Onur, 2022. "Improved MILP formulation equipped with valid inequalities for scheduling a batch processing machine with non-identical job sizes," Omega, Elsevier, vol. 112(C).

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