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Scheduling a single machine with multiple job processing ability to minimize makespan

Author

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  • X Wang

    (Northeastern University)

  • L Tang

    (Northeastern University)

Abstract

This paper investigates a new problem, called single machine scheduling with multiple job processing ability, which is derived from the production of the continuous walking beaming reheating furnace in iron and steel industry. In this problem, there is no batch and the jobs enter and leave the machine one by one and continuously, which is different from general single machine batch scheduling problem where the jobs in a batch share the same start and departure time. Therefore, the start time and the departure time of a job depend on not only the job sequence but also the machine capacity. This problem is also different from the single semi-continuous batching machine scheduling recently studied in the literature, where the jobs are processed in batch mode and a new batch cannot be started for processing until the processing of the previous batch is completed though jobs in the same batch enter and leave the machine one by one. The objective of this problem is to minimize the makespan. We formulate this problem as a mixed integer linear programming model and propose a particle swarm optimization (PSO) algorithm for this problem. Computational results on randomly generated instances show that the proposed PSO algorithm is effective.

Suggested Citation

  • X Wang & L Tang, 2011. "Scheduling a single machine with multiple job processing ability to minimize makespan," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(8), pages 1555-1565, August.
    • Handle: RePEc:pal:jorsoc:v:62:y:2011:i:8:d:10.1057_jors.2010.88
    DOI: 10.1057/jors.2010.88
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    References listed on IDEAS

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    1. Nawaz, Muhammad & Enscore Jr, E Emory & Ham, Inyong, 1983. "A heuristic algorithm for the m-machine, n-job flow-shop sequencing problem," Omega, Elsevier, vol. 11(1), pages 91-95.
    2. 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.
    3. Sen, Tapan & Sulek, Joanne M. & Dileepan, Parthasarati, 2003. "Static scheduling research to minimize weighted and unweighted tardiness: A state-of-the-art survey," International Journal of Production Economics, Elsevier, vol. 83(1), pages 1-12, January.
    4. Taillard, E., 1990. "Some efficient heuristic methods for the flow shop sequencing problem," European Journal of Operational Research, Elsevier, vol. 47(1), pages 65-74, July.
    5. Scott Webster & Kenneth R. Baker, 1995. "Scheduling Groups of Jobs on a Single Machine," Operations Research, INFORMS, vol. 43(4), pages 692-703, August.
    6. Richard K. Congram & Chris N. Potts & Steef L. van de Velde, 2002. "An Iterated Dynasearch Algorithm for the Single-Machine Total Weighted Tardiness Scheduling Problem," INFORMS Journal on Computing, INFORMS, vol. 14(1), pages 52-67, February.
    7. Chung-Yee Lee & Reha Uzsoy & Louis A. Martin-Vega, 1992. "Efficient Algorithms for Scheduling Semiconductor Burn-In Operations," Operations Research, INFORMS, vol. 40(4), pages 764-775, August.
    8. Lin, B.M.T. & Cheng, T.C.E. & Chou, A.S.C., 2007. "Scheduling in an assembly-type production chain with batch transfer," Omega, Elsevier, vol. 35(2), pages 143-151, April.
    9. Néron, Emmanuel & Baptiste, Philippe & Gupta, Jatinder N. D., 2001. "Solving hybrid flow shop problem using energetic reasoning and global operations," Omega, Elsevier, vol. 29(6), pages 501-511, December.
    10. Kalczynski, Pawel Jan & Kamburowski, Jerzy, 2007. "On the NEH heuristic for minimizing the makespan in permutation flow shops," Omega, Elsevier, vol. 35(1), pages 53-60, February.
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    Cited by:

    1. Yan, Xiangbin & Qiu, Hui & Peng, Rui & Wu, Shaomin, 2020. "Optimal configuration of a power grid system with a dynamic performance sharing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 193(C).

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