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Note---A Note on the Minimization of Mean Squared Deviation of Completion Times About a Common Due Date

Author

Listed:
  • Prabuddha De

    (Department of Decision Sciences, University of Dayton, Dayton, Ohio 45469-0001)

  • Jay B. Ghosh

    (Department of Decision Sciences, University of Dayton, Dayton, Ohio 45469-0001)

  • Charles E. Wells

    (Department of Decision Sciences, University of Dayton, Dayton, Ohio 45469-0001)

Abstract

This paper points out a conceptual flaw present in a recent publication. It shows how the methodology can be modified to correct this flaw. It also presents improved bounds to determine the nature of a given problem.

Suggested Citation

  • Prabuddha De & Jay B. Ghosh & Charles E. Wells, 1989. "Note---A Note on the Minimization of Mean Squared Deviation of Completion Times About a Common Due Date," Management Science, INFORMS, vol. 35(9), pages 1143-1147, September.
    • Handle: RePEc:inm:ormnsc:v:35:y:1989:i:9:p:1143-1147
    DOI: 10.1287/mnsc.35.9.1143
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    Citations

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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. 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.
    3. Ng, C. T. & Cai, X. & Cheng, T. C. E., 1996. "A tight lower bound for the completion time variance problem," European Journal of Operational Research, Elsevier, vol. 92(1), pages 211-213, July.
    4. 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.
    5. 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.
    6. Weng, Xiaohua & Ventura, Jose A., 1996. "Scheduling about a given common due date to minimize mean squared deviation of completion times," European Journal of Operational Research, Elsevier, vol. 88(2), pages 328-335, January.
    7. Seo, Jong Hwa & Kim, Chae-Bogk & Lee, Dong Hoon, 2001. "Minimizing mean squared deviation of completion times with maximum tardiness constraint," European Journal of Operational Research, Elsevier, vol. 129(1), pages 95-104, February.
    8. Hans Kellerer & Vitaly A. Strusevich, 2016. "Optimizing the half-product and related quadratic Boolean functions: approximation and scheduling applications," Annals of Operations Research, Springer, vol. 240(1), pages 39-94, May.

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