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Note---On the Single Machine Scheduling Problem with Quadratic Penalty Function of Completion Times: An Improved Branching Procedure

Author

Listed:
  • Sushil K. Gupta

    (College of Business Administration, Florida International University, Miami, Florida 33199)

  • Tapan Sen

    (School of Business & Economics, University of North Carolina, Greensboro, North Carolina 27412)

Abstract

This paper gives optimality conditions to obtain a priori precedence relationships among some of the jobs in a single machine scheduling problem so as to curtail the enumeration while using branch-and-bound technique. The objective is to minimize a quadratic (or generalized quadratic) penalty function of job completion times.

Suggested Citation

  • Sushil K. Gupta & Tapan Sen, 1984. "Note---On the Single Machine Scheduling Problem with Quadratic Penalty Function of Completion Times: An Improved Branching Procedure," Management Science, INFORMS, vol. 30(5), pages 644-647, May.
    • Handle: RePEc:inm:ormnsc:v:30:y:1984:i:5:p:644-647
    DOI: 10.1287/mnsc.30.5.644
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    Citations

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    Cited by:

    1. Mondal, Sakib A. & Sen, Anup K., 2000. "An improved precedence rule for single machine sequencing problems with quadratic penalty," European Journal of Operational Research, Elsevier, vol. 125(2), pages 425-428, September.
    2. Schaller, Jeffrey, 2002. "Minimizing the sum of squares lateness on a single machine," European Journal of Operational Research, Elsevier, vol. 143(1), pages 64-79, November.
    3. Federico Della Croce & Wlodzimierz Szwarc & Roberto Tadei & Paolo Baracco & Raffaele di Tullio, 1995. "Minimizing the weighted sum of quadratic completion times on a single machine," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(8), pages 1263-1270, December.
    4. Cheng, T. C. Edwin & Shakhlevich, Natalia V., 2005. "Minimizing non-decreasing separable objective functions for the unit-time open shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 165(2), pages 444-456, September.

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