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A new scheduling technique for the resource–constrained project scheduling problem with discounted cash flows

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  • Pieter Leyman
  • Mario Vanhoucke

Abstract

In this paper, we discuss the resource–constrained project scheduling problem with discounted cash flows. We introduce a new schedule construction technique which moves sets of activities to improve the project net present value and consists of two steps. In particular, the inclusion of individual activities into sets, which are then moved together, is crucial in both steps. The first step groups the activities based on the predecessors and successors in the project network, and adds these activities to a set based on their finish time and cash flow. The second step on the contrary does so based on the neighbouring activities in the schedule, which may but need not include precedence related activities. The proposed scheduling method is implemented in a genetic algorithm metaheuristic and we employ a penalty function to improve the algorithm’s feasibility with respect to a tight deadline. All steps of the proposed solution methodology are tested in detail and an extensive computational experiment shows that our results are competitive with existing work.

Suggested Citation

  • Pieter Leyman & Mario Vanhoucke, 2015. "A new scheduling technique for the resource–constrained project scheduling problem with discounted cash flows," International Journal of Production Research, Taylor & Francis Journals, vol. 53(9), pages 2771-2786, May.
    • Handle: RePEc:taf:tprsxx:v:53:y:2015:i:9:p:2771-2786
    DOI: 10.1080/00207543.2014.980463
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    Cited by:

    1. Hartmann, Sönke & Briskorn, Dirk, 2022. "An updated survey of variants and extensions of the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 297(1), pages 1-14.
    2. Luis F. Machado-Domínguez & Carlos D. Paternina-Arboleda & Jorge I. Vélez & Agustín Barrios-Sarmiento, 2022. "An adaptative bacterial foraging optimization algorithm for solving the MRCPSP with discounted cash flows," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(2), pages 221-248, July.
    3. Canca, David & Andrade-Pineda, José Luis & De-Los-Santos, Alicia & González-R, Pedro Luis, 2021. "A quantitative approach for the long-term assessment of Railway Rapid Transit network construction or expansion projects," European Journal of Operational Research, Elsevier, vol. 294(2), pages 604-621.
    4. Alessandro Hill & Andrea J. Brickey & Italo Cipriano & Marcos Goycoolea & Alexandra Newman, 2022. "Optimization Strategies for Resource-Constrained Project Scheduling Problems in Underground Mining," INFORMS Journal on Computing, INFORMS, vol. 34(6), pages 3042-3058, November.
    5. Leyman, Pieter & Vanhoucke, Mario, 2017. "Capital- and resource-constrained project scheduling with net present value optimization," European Journal of Operational Research, Elsevier, vol. 256(3), pages 757-776.

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