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Minimizing earliness and tardiness costs in stochastic scheduling

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  • Baker, Kenneth R.

Abstract

We address the single-machine stochastic scheduling problem with an objective of minimizing total expected earliness and tardiness costs, assuming that processing times follow normal distributions and due dates are decisions. We develop a branch and bound algorithm to find optimal solutions to this problem and report the results of computational experiments. We also test some heuristic procedures and find that surprisingly good performance can be achieved by a list schedule followed by an adjacent pairwise interchange procedure.

Suggested Citation

  • Baker, Kenneth R., 2014. "Minimizing earliness and tardiness costs in stochastic scheduling," European Journal of Operational Research, Elsevier, vol. 236(2), pages 445-452.
    • Handle: RePEc:eee:ejores:v:236:y:2014:i:2:p:445-452
    DOI: 10.1016/j.ejor.2013.12.011
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    References listed on IDEAS

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    1. Michael H. Rothkopf, 1966. "Scheduling with Random Service Times," Management Science, INFORMS, vol. 12(9), pages 707-713, May.
    2. Baker, Kenneth R. & Trietsch, Dan, 2009. "Safe scheduling: Setting due dates in single-machine problems," European Journal of Operational Research, Elsevier, vol. 196(1), pages 69-77, July.
    3. Stephen J. Balut, 1973. "Scheduling to Minimize the Number of Late Jobs When Set-Up and Processing Times are Uncertain," Management Science, INFORMS, vol. 19(11), pages 1283-1288, July.
    4. Gordon, Valery & Proth, Jean-Marie & Chu, Chengbin, 2002. "A survey of the state-of-the-art of common due date assignment and scheduling research," European Journal of Operational Research, Elsevier, vol. 139(1), pages 1-25, May.
    5. S. S. Panwalkar & M. L. Smith & A. Seidmann, 1982. "Common Due Date Assignment to Minimize Total Penalty for the One Machine Scheduling Problem," Operations Research, INFORMS, vol. 30(2), pages 391-399, April.
    6. Peng Si Ow & Thomas E. Morton, 1989. "The Single Machine Early/Tardy Problem," Management Science, INFORMS, vol. 35(2), pages 177-191, February.
    7. Yano, Candace Arai & Kim, Yeong-Dae, 1991. "Algorithms for a class of single-machine weighted tardiness and earliness problems," European Journal of Operational Research, Elsevier, vol. 52(2), pages 167-178, May.
    8. Sarin, Subhash C. & Erel, Erdal & Steiner, George, 1991. "Sequencing jobs on a single machine with a common due date and stochastic processing times," European Journal of Operational Research, Elsevier, vol. 51(2), pages 188-198, March.
    9. Nicholas G. Hall & Wieslaw Kubiak & Suresh P. Sethi, 1991. "Earliness–Tardiness Scheduling Problems, II: Deviation of Completion Times About a Restrictive Common Due Date," Operations Research, INFORMS, vol. 39(5), pages 847-856, October.
    10. Michael R. Garey & Robert E. Tarjan & Gordon T. Wilfong, 1988. "One-Processor Scheduling with Symmetric Earliness and Tardiness Penalties," Mathematics of Operations Research, INFORMS, vol. 13(2), pages 330-348, May.
    11. George Li, 1997. "Single machine earliness and tardiness scheduling," European Journal of Operational Research, Elsevier, vol. 96(3), pages 546-558, February.
    12. Kenneth R. Baker & Gary D. Scudder, 1990. "Sequencing with Earliness and Tardiness Penalties: A Review," Operations Research, INFORMS, vol. 38(1), pages 22-36, February.
    13. Jeffrey B. Sidney, 1977. "Optimal Single-Machine Scheduling with Earliness and Tardiness Penalties," Operations Research, INFORMS, vol. 25(1), pages 62-69, February.
    14. Jang, Wooseung, 2002. "Dynamic scheduling of stochastic jobs on a single machine," European Journal of Operational Research, Elsevier, vol. 138(3), pages 518-530, May.
    15. Nicholas G. Hall & Marc E. Posner, 1991. "Earliness-Tardiness Scheduling Problems, I: Weighted Deviation of Completion Times About a Common Due Date," Operations Research, INFORMS, vol. 39(5), pages 836-846, October.
    16. Azizoglu, Meral & Kondakci, Suna & Kirca, Omer, 1991. "Bicriteria scheduling problem involving total tardiness and total earliness penalties," International Journal of Production Economics, Elsevier, vol. 23(1-3), pages 17-24, October.
    17. James, R. J. W. & Buchanan, J. T., 1997. "A neighbourhood scheme with a compressed solution space for the early/tardy scheduling problem," European Journal of Operational Research, Elsevier, vol. 102(3), pages 513-527, November.
    18. John J. Kanet & V. Sridharan, 2000. "Scheduling with Inserted Idle Time: Problem Taxonomy and Literature Review," Operations Research, INFORMS, vol. 48(1), pages 99-110, February.
    19. Soroush, H. M., 1999. "Sequencing and due-date determination in the stochastic single machine problem with earliness and tardiness costs," European Journal of Operational Research, Elsevier, vol. 113(2), pages 450-468, March.
    20. Soroush, H. M. & Fredendall, L. D., 1994. "The stochastic single machine scheduling problem with earliness and tardiness costs," European Journal of Operational Research, Elsevier, vol. 77(2), pages 287-302, September.
    21. Xia, Yu & Chen, Bintong & Yue, Jinfeng, 2008. "Job sequencing and due date assignment in a single machine shop with uncertain processing times," European Journal of Operational Research, Elsevier, vol. 184(1), pages 63-75, January.
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    Cited by:

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    3. Guhlich, Hendrik & Fleischmann, Moritz & Mönch, Lars & Stolletz, Raik, 2018. "A clearing function based bid-price approach to integrated order acceptance and release decisions," European Journal of Operational Research, Elsevier, vol. 268(1), pages 243-254.
    4. Tugba Saraç & Feristah Ozcelik & Mehmet Ertem, 2023. "Unrelated parallel machine scheduling problem with stochastic sequence dependent setup times," Operational Research, Springer, vol. 23(3), pages 1-19, September.
    5. Lvjiang Yin & Xinyu Li & Chao Lu & Liang Gao, 2016. "Energy-Efficient Scheduling Problem Using an Effective Hybrid Multi-Objective Evolutionary Algorithm," Sustainability, MDPI, vol. 8(12), pages 1-33, December.
    6. Yue, Qing & Zhou, Shenghai, 2021. "Due-window assignment scheduling problem with stochastic processing times," European Journal of Operational Research, Elsevier, vol. 290(2), pages 453-468.

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