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Scheduling to a common due date on parallel uniform processors

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  • Hamilton Emmons

Abstract

We consider scheduling a set of jobs on parallel processors, when all jobs have a common due date and earliness and lateness are penalized at different cost rates. For identical processors, the secondary criteria of minimizing makespan and machine occupancy are addressed. The extension to different, uniform processors is also solved.

Suggested Citation

  • Hamilton Emmons, 1987. "Scheduling to a common due date on parallel uniform processors," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(6), pages 803-810, December.
    • Handle: RePEc:wly:navres:v:34:y:1987:i:6:p:803-810
    DOI: 10.1002/1520-6750(198712)34:63.0.CO;2-2
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    References listed on IDEAS

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    1. Uttarayan Bagchi & Robert S. Sullivan & Y. L. Chang, 1986. "Minimizing mean absolute deviation of completion times about a common due date," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 33(2), pages 227-240, May.
    2. 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.
    3. John J. Kanet, 1981. "Minimizing the average deviation of job completion times about a common due date," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 28(4), pages 643-651, December.
    4. Nicholas G. Hall, 1986. "Single‐ and multiple‐processor models for minimizing completion time variance," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 33(1), pages 49-54, February.
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    Cited by:

    1. 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.
    2. Plateau, M.-C. & Rios-Solis, Y.A., 2010. "Optimal solutions for unrelated parallel machines scheduling problems using convex quadratic reformulations," European Journal of Operational Research, Elsevier, vol. 201(3), pages 729-736, March.
    3. Sridharan, V. & Zhou, Z., 1996. "A decision theory based scheduling procedure for single-machine weighted earliness and tardiness problems," European Journal of Operational Research, Elsevier, vol. 94(2), pages 292-301, October.
    4. Chen, Zhi-Long & Lee, Chung-Yee, 2002. "Parallel machine scheduling with a common due window," European Journal of Operational Research, Elsevier, vol. 136(3), pages 512-527, February.
    5. Prabuddha De & Jay B. Ghosh & Charles E. Wells, 1994. "Due‐date assignment and early/tardy scheduling on identical parallel machines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(1), pages 17-32, February.
    6. Wlodzimierz Szwarc, 1989. "Single‐machine scheduling to minimize absolute deviation of completion times from a common due date," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(5), pages 663-673, October.
    7. Sabuncuoglu, Ihsan & Lejmi, Tahar, 1999. "Scheduling for non regular performance measure under the due window approach," Omega, Elsevier, vol. 27(5), pages 555-568, October.
    8. Joseph Y.‐T. Leung, 2002. "A dual criteria sequencing problem with earliness and tardiness penalties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(4), pages 422-431, June.
    9. Hoogeveen, Han, 2005. "Multicriteria scheduling," European Journal of Operational Research, Elsevier, vol. 167(3), pages 592-623, December.
    10. Bernard Dickman & Yonah Wilamowsky & Sheldon Epstein, 2001. "Multiple common due dates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(4), pages 293-298, June.
    11. Adamopoulos, George I. & Pappis, Costas P., 1996. "A fuzzy-linguistic approach to a multi-criteria sequencing problem," European Journal of Operational Research, Elsevier, vol. 92(3), pages 628-636, August.
    12. 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.
    13. Adamopoulos, G. I. & Pappis, C. P., 1996. "Scheduling jobs with different, job-dependent earliness and tardiness penalties using the SLK method," European Journal of Operational Research, Elsevier, vol. 88(2), pages 336-344, January.
    14. Enrique Gerstl & Gur Mosheiov, 2014. "Single machine just‐in‐time scheduling problems with two competing agents," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(1), pages 1-16, February.
    15. T C E Cheng & L Y Kang & C T Ng, 2007. "Due-date assignment and parallel-machine scheduling with deteriorating jobs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(8), pages 1103-1108, August.
    16. Mosheiov, Gur & Sarig, Assaf, 2009. "Due-date assignment on uniform machines," European Journal of Operational Research, Elsevier, vol. 193(1), pages 49-58, February.
    17. Adamopoulos, George I. & Pappis, Costas P., 1998. "Scheduling under a common due-data on parallel unrelated machines," European Journal of Operational Research, Elsevier, vol. 105(3), pages 494-501, March.
    18. Fowler, John W. & Mönch, Lars, 2022. "A survey of scheduling with parallel batch (p-batch) processing," European Journal of Operational Research, Elsevier, vol. 298(1), pages 1-24.
    19. Kerem Bülbül & Safia Kedad-Sidhoum & Halil Şen, 2019. "Single-machine common due date total earliness/tardiness scheduling with machine unavailability," Journal of Scheduling, Springer, vol. 22(5), pages 543-565, October.
    20. Yalaoui, Farouk & Chu, Chengbin, 2002. "Parallel machine scheduling to minimize total tardiness," International Journal of Production Economics, Elsevier, vol. 76(3), pages 265-279, April.
    21. Srirangacharyulu, B. & Srinivasan, G., 2013. "An exact algorithm to minimize mean squared deviation of job completion times about a common due date," European Journal of Operational Research, Elsevier, vol. 231(3), pages 547-556.
    22. Chen, Zhi-Long & Powell, Warren B., 1999. "A column generation based decomposition algorithm for a parallel machine just-in-time scheduling problem," European Journal of Operational Research, Elsevier, vol. 116(1), pages 220-232, July.
    23. Li, Kunpeng & Sivakumar, Appa Iyer & Ganesan, Viswanath Kumar, 2008. "Complexities and algorithms for synchronized scheduling of parallel machine assembly and air transportation in consumer electronics supply chain," European Journal of Operational Research, Elsevier, vol. 187(2), pages 442-455, June.
    24. X. Cai & S. Zhou, 1997. "Scheduling stochastic jobs with asymmetric earliness and tardiness penalties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(6), pages 531-557, September.
    25. Mosheiov, Gur & Shadmon, Michal, 2001. "Minmax earliness-tardiness costs with unit processing time jobs," European Journal of Operational Research, Elsevier, vol. 130(3), pages 638-652, May.

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