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Basic scheduling problems with raw material constraints

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  • Alexander Grigoriev
  • Martijn Holthuijsen
  • Joris van de Klundert

Abstract

One of the achievements of scheduling theory is its contribution to practical applications in industrial settings. In particular, taking finiteness of the available production capacity explicitly into account, has been a major improvement of standard practice. Availability of raw materials, however, which is another important constraint in practice, has been largely disregarded in scheduling theory. This paper considers basic models for scheduling problems in contemporary manufacturing settings where raw material availability is of critical importance. We explore single scheduling machine problems, mostly with unit or all equal processing times, and Lmax and Cmax objectives. We present polynomial time algorithms, complexity and approximation results, and computational experiments. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.

Suggested Citation

  • Alexander Grigoriev & Martijn Holthuijsen & Joris van de Klundert, 2005. "Basic scheduling problems with raw material constraints," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(6), pages 527-535, September.
    • Handle: RePEc:wly:navres:v:52:y:2005:i:6:p:527-535
    DOI: 10.1002/nav.20095
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    References listed on IDEAS

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    1. John Miltenburg, 1989. "Level Schedules for Mixed-Model Assembly Lines in Just-In-Time Production Systems," Management Science, INFORMS, vol. 35(2), pages 192-207, February.
    2. W. A. Horn, 1974. "Some simple scheduling algorithms," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 21(1), pages 177-185, March.
    3. S. M. Johnson, 1954. "Optimal two‐ and three‐stage production schedules with setup times included," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 1(1), pages 61-68, March.
    4. K. R. Baker & E. L. Lawler & J. K. Lenstra & A. H. G. Rinnooy Kan, 1983. "Preemptive Scheduling of a Single Machine to Minimize Maximum Cost Subject to Release Dates and Precedence Constraints," Operations Research, INFORMS, vol. 31(2), pages 381-386, April.
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    Cited by:

    1. 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.
    2. Péter Györgyi & Tamás Kis, 2019. "Minimizing total weighted completion time on a single machine subject to non-renewable resource constraints," Journal of Scheduling, Springer, vol. 22(6), pages 623-634, December.
    3. Nicholas G. Hall & Zhixin Liu & Chris N. Potts, 2007. "Rescheduling for Multiple New Orders," INFORMS Journal on Computing, INFORMS, vol. 19(4), pages 633-645, November.
    4. Péter Györgyi & Tamás Kis, 2015. "Approximability of scheduling problems with resource consuming jobs," Annals of Operations Research, Springer, vol. 235(1), pages 319-336, December.
    5. Susumu Hashimoto & Shinji Mizuno, 2021. "A tight approximation ratio of a list scheduling algorithm for a single-machine scheduling problem with a non-renewable resource," Journal of Scheduling, Springer, vol. 24(3), pages 259-267, June.

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