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Minimizing the average deviation of job completion times about a common due date

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  • John J. Kanet

Abstract

This paper considers a single‐machine scheduling problem in which penalities occur when a job is completed early or late. The objective is to minimize the total penalty subject to restrictive assumptions on the due dates and penalty functions for jobs. A procedure is presented for finding an optimal schedule.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navlog:v:28:y:1981:i:4:p:643-651
    DOI: 10.1002/nav.3800280411
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    Cited by:

    1. Y. P. Aneja & S. N. Kabadi & A. Nagar, 1998. "Minimizing weighted mean absolute deviation of flow times in single machine systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(3), pages 297-311, April.
    2. Michael X. Weng & Jose A. Ventura, 1994. "Scheduling about a large common due date with tolerance to minimize mean absolute deviation of completion times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(6), pages 843-851, October.
    3. J. Steve Davis & John J. Kanet, 1993. "Single‐machine scheduling with early and tardy completion costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(1), pages 85-101, February.
    4. Oğuzhan Ahmet Arik, 2023. "A heuristic for single machine common due date assignment problem with different earliness/tardiness weights," OPSEARCH, Springer;Operational Research Society of India, vol. 60(3), pages 1561-1574, September.
    5. Gur Mosheiov, 2000. "Minimizing mean absolute deviation of job completion times from the mean completion time," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(8), pages 657-668, December.
    6. Chung‐Lun Li & T. C. E. Cheng, 1994. "The parallel machine min‐max weighted absolute lateness scheduling problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(1), pages 33-46, February.
    7. 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.
    8. T. C. E. Cheng & H. G. Kahlbacher, 1991. "A proof for the longest‐job‐first policy in one‐machine scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(5), pages 715-720, October.
    9. Michael C. Ferris & Milan Vlach, 1992. "Scheduling with earliness and tardiness penalties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(2), pages 229-245, March.
    10. 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.
    11. 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.
    12. Uttarayan Bagchi & Yih‐Long Chang & Robert S. Sullivan, 1987. "Minimizing absolute and squared deviations of completion times with different earliness and tardiness penalties and a common due date," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(5), pages 739-751, October.
    13. 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.
    14. 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.
    15. S.S. Panwalkar & Christos Koulamas, 2015. "On equivalence between the proportionate flow shop and single‐machine scheduling problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(7), pages 595-603, October.
    16. Falq, Anne-Elisabeth & Fouilhoux, Pierre & Kedad-Sidhoum, Safia, 2022. "Dominance inequalities for scheduling around an unrestrictive common due date," European Journal of Operational Research, Elsevier, vol. 296(2), pages 453-464.
    17. Vincent T’kindt & Lei Shang & Federico Della Croce, 2020. "Exponential time algorithms for just-in-time scheduling problems with common due date and symmetric weights," Journal of Combinatorial Optimization, Springer, vol. 39(3), pages 764-775, April.
    18. Umar M. Al‐Turki & John Mittenthal & M. Raghavachari, 1996. "The single‐machine absolute‐deviation early‐tardy problem with random completion times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(4), pages 573-587, June.
    19. Yeong‐Dae Kim & Candace Arai Yano, 1994. "Minimizing mean tardiness and earliness in single‐machine scheduling problems with unequal due dates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(7), pages 913-933, December.

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