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Discrete time/cost trade-offs in project scheduling with time-switch constraints

Author

Listed:
  • M Vanhoucke

    (Operations and Technology Management Center, Vlerick Leuven Gent Management School
    Operations Management and Technology Policy, Faculty of Economics and Business Administration, Ghent University)

  • E Demeulemeester

    (Operations Management Group, Katholieke Universiteit Leuven)

  • W Herroelen

    (Operations Management Group, Katholieke Universiteit Leuven)

Abstract

The discrete time/cost trade-off problem assumes the duration of project activities to be discrete, non-increasing functions of the amount of a single non-renewable resource. The problem has been studied under three possible objectives. The so-called deadline problem involves the scheduling of project activities in order to minimize the total cost of the project while meeting a given deadline. The budget problem aims at minimizing the project duration without exceeding a given budget. A third objective involves the generation of the complete efficient time/cost profile over the set of feasible project durations. In this paper we describe a solution procedure for the deadline problem in which three special cases of time-switch constraints are involved. These constraints impose a specified starting time on the project activities and force them to be inactive during specified time periods. We propose a branch-and-bound algorithm and a heuristic procedure which both make use of a lower bound calculation for the discrete time/cost trade-off problem (without time-switch constraints). The procedures have been coded in Visual C++, version 6.0 under Windows 2000 and have been validated on a randomly generated problem set. We also discuss an illustrative example based on a real-life situation.

Suggested Citation

  • M Vanhoucke & E Demeulemeester & W Herroelen, 2002. "Discrete time/cost trade-offs in project scheduling with time-switch constraints," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(7), pages 741-751, July.
    • Handle: RePEc:pal:jorsoc:v:53:y:2002:i:7:d:10.1057_palgrave.jors.2601351
    DOI: 10.1057/palgrave.jors.2601351
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    Cited by:

    1. Karapetyan, Daniel & Mitrovic Minic, Snezana & Malladi, Krishna T. & Punnen, Abraham P., 2015. "Satellite downlink scheduling problem: A case study," Omega, Elsevier, vol. 53(C), pages 115-123.
    2. Prpić, John, 2017. "Project Risk Management Incorporating Knight, Ellsberg & Kahneman," SocArXiv yqhjx, Center for Open Science.
    3. Nicole Megow & Rolf H. Möhring & Jens Schulz, 2011. "Decision Support and Optimization in Shutdown and Turnaround Scheduling," INFORMS Journal on Computing, INFORMS, vol. 23(2), pages 189-204, May.

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