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Minimizing the weighted sum of quadratic completion times on a single machine

Author

Listed:
  • Federico Della Croce
  • Wlodzimierz Szwarc
  • Roberto Tadei
  • Paolo Baracco
  • Raffaele di Tullio

Abstract

This article discusses the scheduling problem of minimizing the weighted sum of quadratic completion times on a single machine. It establishes links between orderings of adjacent and nonadjacent jobs that lead to a powerful branch and bound method. Computational results show that this method clearly outperforms the state of the art algorithm. © 1995 John Wiley & Sons. Inc.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:42:y:1995:i:8:p:1263-1270
    DOI: 10.1002/1520-6750(199512)42:83.0.CO;2-A
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    References listed on IDEAS

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    1. P. C. Bagga & K. R. Kalra, 1980. "Note---A Node Elimination Procedure for Townsend's Algorithm for Solving the Single Machine Quadratic Penalty Function Scheduling Problem," Management Science, INFORMS, vol. 26(6), pages 633-636, June.
    2. 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.
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    Cited by:

    1. Janiak, Adam & Krysiak, Tomasz & Pappis, Costas P. & Voutsinas, Theodore G., 2009. "A scheduling problem with job values given as a power function of their completion times," European Journal of Operational Research, Elsevier, vol. 193(3), pages 836-848, March.
    2. 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.
    3. 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.
    4. Szwarc, Wlodzimierz & Mukhopadhyay, Samar K., 1996. "Solution of the generalized Townsend single machine scheduling model," European Journal of Operational Research, Elsevier, vol. 91(1), pages 203-210, May.

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