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A heuristic for scheduling jobs on two identical parallel machines with a machine availability constraint

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  • Wang, Xiuli
  • Cheng, T.C.E.

Abstract

We study a two identical parallel-machine scheduling problem in which one machine is available to process jobs in a limited time interval while the other machine is always available over the scheduling horizon. The objective is to maximize the number of on-time jobs. As the problem is NP-hard, we develop a heuristic to tackle it by incorporating the backward adjusting and two-step look-ahead strategies into some existing heuristics for similar problems without the machine availability constraint. We show that our heuristic has a worst-case ratio bound of 4/3 and the bound is tight.

Suggested Citation

  • Wang, Xiuli & Cheng, T.C.E., 2015. "A heuristic for scheduling jobs on two identical parallel machines with a machine availability constraint," International Journal of Production Economics, Elsevier, vol. 161(C), pages 74-82.
    • Handle: RePEc:eee:proeco:v:161:y:2015:i:c:p:74-82
    DOI: 10.1016/j.ijpe.2014.12.001
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    References listed on IDEAS

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    1. Liao, Ching-Jong & Chao, Chien-Wen & Lin, Chien-Hung, 2009. "Minimizing the sum of job completion times on capacitated two-parallel machines," European Journal of Operational Research, Elsevier, vol. 197(2), pages 475-481, September.
    2. Og[breve]uz, Ceyda & Sibel Salman, F. & Bilgintürk YalçIn, Zehra, 2010. "Order acceptance and scheduling decisions in make-to-order systems," International Journal of Production Economics, Elsevier, vol. 125(1), pages 200-211, May.
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    4. Tan, Zhiyi & Chen, Yong & Zhang, An, 2011. "Parallel machines scheduling with machine maintenance for minsum criteria," European Journal of Operational Research, Elsevier, vol. 212(2), pages 287-292, July.
    5. Ho, Johnny C. & Chang, Yih-Long, 1995. "Minimizing the number of tardy jobs for m parallel machines," European Journal of Operational Research, Elsevier, vol. 84(2), pages 343-355, July.
    6. Wang, Xiuli & Xie, Xingzi & Cheng, T.C.E., 2013. "A modified artificial bee colony algorithm for order acceptance in two-machine flow shops," International Journal of Production Economics, Elsevier, vol. 141(1), pages 14-23.
    7. Slotnick, Susan A., 2011. "Order acceptance and scheduling: A taxonomy and review," European Journal of Operational Research, Elsevier, vol. 212(1), pages 1-11, July.
    8. Wang, Xiuli & Xie, Xingzi & Cheng, T.C.E., 2013. "Order acceptance and scheduling in a two-machine flowshop," International Journal of Production Economics, Elsevier, vol. 141(1), pages 366-376.
    9. M'Hallah, Rym & Bulfin, R. L., 2005. "Minimizing the weighted number of tardy jobs on parallel processors," European Journal of Operational Research, Elsevier, vol. 160(2), pages 471-484, January.
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    Cited by:

    1. Azimpoor, Samareh & Taghipour, Sharareh & Farmanesh, Babak & Sharifi, Mani, 2022. "Joint Planning of Production and Inspection of Parallel Machines with Two-phase of Failure," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    2. Boccia, Maurizio & Masone, Adriano & Sterle, Claudio & Murino, Teresa, 2023. "The parallel AGV scheduling problem with battery constraints: A new formulation and a matheuristic approach," European Journal of Operational Research, Elsevier, vol. 307(2), pages 590-603.
    3. Li, Guo & Liu, Mengqi & Sethi, Suresh P. & Xu, Dehua, 2017. "Parallel-machine scheduling with machine-dependent maintenance periodic recycles," International Journal of Production Economics, Elsevier, vol. 186(C), pages 1-7.
    4. Li, Xinyu & Gao, Liang, 2016. "An effective hybrid genetic algorithm and tabu search for flexible job shop scheduling problem," International Journal of Production Economics, Elsevier, vol. 174(C), pages 93-110.
    5. Sandeep Kumar & Bhupesh Kumar Lad, 2017. "Integrated production and maintenance planning for parallel machine system considering cost of rejection," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(7), pages 834-846, July.

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