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Complexity and algorithms for min cost and max profit scheduling under time-of-use electricity tariffs

Author

Listed:
  • Michal Penn

    (Technion)

  • Tal Raviv

    (Tel Aviv University)

Abstract

Following a recent interest in sustainable scheduling under operational costs that vary over time, we study scheduling problems on a single machine under time-of-use electricity tariffs. We consider two main variants of the problem: cost minimization and profit maximization. In the cost minimization problem, the set of jobs to be processed is given, and the goal is to schedule all jobs within a planning horizon so as to minimize the total cost, while in the profit maximization problem, one needs to select a set of jobs to be processed such that the total profit is maximized. The general cases of the cost minimization and profit maximization problems in which preemptions are forbidden are strongly NP-hard. In this paper, we show that some special cases with identical processing times can be solved by efficient algorithms. In addition, we consider several extensions of the problems, including release times, due dates, and variable energy consumption.

Suggested Citation

  • Michal Penn & Tal Raviv, 2021. "Complexity and algorithms for min cost and max profit scheduling under time-of-use electricity tariffs," Journal of Scheduling, Springer, vol. 24(1), pages 83-102, February.
    • Handle: RePEc:spr:jsched:v:24:y:2021:i:1:d:10.1007_s10951-020-00674-3
    DOI: 10.1007/s10951-020-00674-3
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    References listed on IDEAS

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    1. Aghelinejad, MohammadMohsen & Ouazene, Yassine & Yalaoui, Alice, 2019. "Complexity analysis of energy-efficient single machine scheduling problems," Operations Research Perspectives, Elsevier, vol. 6(C).
    2. Chen, Bo & Zhang, Xiandong, 2019. "Scheduling with time-of-use costs," European Journal of Operational Research, Elsevier, vol. 274(3), pages 900-908.
    3. Yingchao Zhao & Xiangtong Qi & Minming Li, 2016. "On scheduling with non-increasing time slot cost to minimize total weighted completion time," Journal of Scheduling, Springer, vol. 19(6), pages 759-767, December.
    4. Kan Fang & Nelson A. Uhan & Fu Zhao & John W. Sutherland, 2016. "Scheduling on a single machine under time-of-use electricity tariffs," Annals of Operations Research, Springer, vol. 238(1), pages 199-227, March.
    5. Kan Fang & Nelson Uhan & Fu Zhao & John Sutherland, 2016. "Scheduling on a single machine under time-of-use electricity tariffs," Annals of Operations Research, Springer, vol. 238(1), pages 199-227, March.
    6. Gahm, Christian & Denz, Florian & Dirr, Martin & Tuma, Axel, 2016. "Energy-efficient scheduling in manufacturing companies: A review and research framework," European Journal of Operational Research, Elsevier, vol. 248(3), pages 744-757.
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    Cited by:

    1. Catanzaro, Daniele & Pesenti, Raffaele & Ronco, Roberto, 2021. "Job Scheduling under Time-of-Use Energy Tariffs for Sustainable Manufacturing: A Survey," LIDAM Discussion Papers CORE 2021019, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Catanzaro, Daniele & Pesenti, Raffaele & Ronco, Roberto, 2023. "Job scheduling under Time-of-Use energy tariffs for sustainable manufacturing: a survey," European Journal of Operational Research, Elsevier, vol. 308(3), pages 1091-1109.

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