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A new heuristic for the multi-mode resource investment problem

Author

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  • C-C Hsu

    (General Motors Engineering)

  • D S Kim

    (Oregon State University)

Abstract

This paper considers the problem of minimizing resource investment required to execute the tasks in a project network by a given project due date. A project consists of non-pre-emptive tasks executed in a known and required precedence order. Each task is completed in one of its feasible modes, which may differ not only in task duration but also in consumption of renewable resources. A priority rule heuristic with polynomial computational complexity is presented for this computationally intractable problem. This heuristic simultaneously considers due date constraints and resource usage to select and schedule tasks with one decision rule. This differs from prior multi-mode priority rule scheduling heuristics that apply two consecutive decision rules to schedule tasks. Extensive computational testing indicates promising results.

Suggested Citation

  • C-C Hsu & D S Kim, 2005. "A new heuristic for the multi-mode resource investment problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(4), pages 406-413, April.
    • Handle: RePEc:pal:jorsoc:v:56:y:2005:i:4:d:10.1057_palgrave.jors.2601827
    DOI: 10.1057/palgrave.jors.2601827
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    References listed on IDEAS

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    Cited by:

    1. Fink, Andreas & Gerhards, Patrick, 2021. "Negotiation mechanisms for the multi-agent multi-mode resource investment problem," European Journal of Operational Research, Elsevier, vol. 295(1), pages 261-274.
    2. Patrick Gerhards, 2020. "The multi-mode resource investment problem: a benchmark library and a computational study of lower and upper bounds," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(4), pages 901-933, December.
    3. Felix Hübner & Patrick Gerhards & Christian Stürck & Rebekka Volk, 2021. "Solving the nuclear dismantling project scheduling problem by combining mixed-integer and constraint programming techniques and metaheuristics," Journal of Scheduling, Springer, vol. 24(3), pages 269-290, June.
    4. Weglarz, Jan & Józefowska, Joanna & Mika, Marek & Waligóra, Grzegorz, 2011. "Project scheduling with finite or infinite number of activity processing modes - A survey," European Journal of Operational Research, Elsevier, vol. 208(3), pages 177-205, February.
    5. Kreter, Stefan & Schutt, Andreas & Stuckey, Peter J. & Zimmermann, Jürgen, 2018. "Mixed-integer linear programming and constraint programming formulations for solving resource availability cost problems," European Journal of Operational Research, Elsevier, vol. 266(2), pages 472-486.
    6. Cédric Verbeeck & Vincent Peteghem & Mario Vanhoucke & Pieter Vansteenwegen & El-Houssaine Aghezzaf, 2017. "A metaheuristic solution approach for the time-constrained project scheduling problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(2), pages 353-371, March.

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