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Minimizing makespan on a single machine with release dates and inventory constraints

Author

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  • Davari, Morteza
  • Ranjbar, Mohammad
  • De Causmaecker, Patrick
  • Leus, Roel

Abstract

We consider a single-machine scheduling problem with release dates and inventory constraints. Each job has a deterministic processing time and has an impact (either positive or negative) on the central inventory level. We aim to find a sequence of jobs such that the makespan is minimized while all release dates and inventory constraints are met. We show that the problem is strongly NP-hard even when the capacity of the inventory is infinite. To solve the problem, we introduce a time-indexed formulation and a sequence-based formulation, a branch-and-bound algorithm, and a dynamic-programming-based guess-and-check (GC) algorithm. From extensive computational experiments, we find that the GC algorithm outperforms all other alternatives.

Suggested Citation

  • Davari, Morteza & Ranjbar, Mohammad & De Causmaecker, Patrick & Leus, Roel, 2020. "Minimizing makespan on a single machine with release dates and inventory constraints," European Journal of Operational Research, Elsevier, vol. 286(1), pages 115-128.
    • Handle: RePEc:eee:ejores:v:286:y:2020:i:1:p:115-128
    DOI: 10.1016/j.ejor.2020.03.029
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    References listed on IDEAS

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    Cited by:

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    2. Matthias Bentert & Robert Bredereck & Péter Györgyi & Andrzej Kaczmarczyk & Rolf Niedermeier, 2023. "A multivariate complexity analysis of the material consumption scheduling problem," Journal of Scheduling, Springer, vol. 26(4), pages 369-382, August.
    3. Gehring, Marco & Volk, Rebekka & Schultmann, Frank, 2022. "On the integration of diverging material flows into resource‐constrained project scheduling," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1071-1087.
    4. Lu, Haimin & Pei, Zhi, 2023. "Single machine scheduling with release dates: A distributionally robust approach," European Journal of Operational Research, Elsevier, vol. 308(1), pages 19-37.
    5. Pei, Zhi & Lu, Haimin & Jin, Qingwei & Zhang, Lianmin, 2022. "Target-based distributionally robust optimization for single machine scheduling," European Journal of Operational Research, Elsevier, vol. 299(2), pages 420-431.

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