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Minimizing Resource Availability Costs in Time-Limited Project Networks

Author

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  • Erik Demeulemeester

    (Department of Applied Economic Sciences, Katholieke Universiteit Leuven, Naamsestraat 69, B-3000 Leuven, Belgium)

Abstract

We consider the problem of minimizing renewable resource availability costs in an activity-on-the-node project network subject to a project due date. Project activities have fixed durations and may require the use of multiple renewable resources in constant amounts throughout their duration. Various assumptions may be made about the type of precedence relations, ready times, due dates, and task interruptability. Given a discrete, non-decreasing cost function of the constant resource availability for every resource type, the objective is to determine the resource availability levels in order to minimize the sum of the availability costs over all resource types. An effective optimal algorithm is described and extensive computational experience is reported.

Suggested Citation

  • Erik Demeulemeester, 1995. "Minimizing Resource Availability Costs in Time-Limited Project Networks," Management Science, INFORMS, vol. 41(10), pages 1590-1598, October.
    • Handle: RePEc:inm:ormnsc:v:41:y:1995:i:10:p:1590-1598
    DOI: 10.1287/mnsc.41.10.1590
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    Cited by:

    1. Zhu, Xia & Ruiz, Rubén & Li, Shiyu & Li, Xiaoping, 2017. "An effective heuristic for project scheduling with resource availability cost," European Journal of Operational Research, Elsevier, vol. 257(3), pages 746-762.
    2. Coughlan, Eamonn T. & Lübbecke, Marco E. & Schulz, Jens, 2015. "A branch-price-and-cut algorithm for multi-mode resource leveling," European Journal of Operational Research, Elsevier, vol. 245(1), pages 70-80.
    3. Shadrokh, Shahram & Kianfar, Fereydoon, 2007. "A genetic algorithm for resource investment project scheduling problem, tardiness permitted with penalty," European Journal of Operational Research, Elsevier, vol. 181(1), pages 86-101, August.
    4. Kolisch, R. & Padman, R., 2001. "An integrated survey of deterministic project scheduling," Omega, Elsevier, vol. 29(3), pages 249-272, June.
    5. Milička, P. & Šůcha, P. & Vanhoucke, M. & Maenhout, B., 2022. "The bilevel optimisation of a multi-agent project scheduling and staffing problem," European Journal of Operational Research, Elsevier, vol. 296(1), pages 72-86.
    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.
    7. Neumann, K. & Schwindt, C. & Zimmermann, J., 2003. "Order-based neighborhoods for project scheduling with nonregular objective functions," European Journal of Operational Research, Elsevier, vol. 149(2), pages 325-343, September.
    8. Beşikci, Umut & Bilge, Ümit & Ulusoy, Gündüz, 2015. "Multi-mode resource constrained multi-project scheduling and resource portfolio problem," European Journal of Operational Research, Elsevier, vol. 240(1), pages 22-31.
    9. Guopeng Song & Tamás Kis & Roel Leus, 2021. "Polyhedral Results and Branch-and-Cut for the Resource Loading Problem," INFORMS Journal on Computing, INFORMS, vol. 33(1), pages 105-119, January.
    10. Qingyou Yan & Qian Zhang & Xin Zou, 2016. "A Cost Optimization Model for Multiresource Leveling Problem without Project Duration Constraint," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-8, July.
    11. Bianco, L. & Dell'Olmo, P. & Grazia Speranza, M., 1998. "Heuristics for multimode scheduling problems with dedicated resources," European Journal of Operational Research, Elsevier, vol. 107(2), pages 260-271, June.
    12. Rodrigues, Sávio B. & Yamashita, Denise S., 2010. "An exact algorithm for minimizing resource availability costs in project scheduling," European Journal of Operational Research, Elsevier, vol. 206(3), pages 562-568, November.
    13. Brucker, Peter & Drexl, Andreas & Mohring, Rolf & Neumann, Klaus & Pesch, Erwin, 1999. "Resource-constrained project scheduling: Notation, classification, models, and methods," European Journal of Operational Research, Elsevier, vol. 112(1), pages 3-41, January.
    14. 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.
    15. Yamashita, Denise Sato & Armentano, Vinicius Amaral & Laguna, Manuel, 2006. "Scatter search for project scheduling with resource availability cost," European Journal of Operational Research, Elsevier, vol. 169(2), pages 623-637, March.
    16. Aria Shahsavar & Nima Zoraghi & Babak Abbasi, 2018. "Integration of resource investment problem with quantity discount problem in material ordering for minimizing resource costs of projects," Operational Research, Springer, vol. 18(2), pages 315-342, July.
    17. 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.
    18. Xiaoyu Ji & Kai Yao, 2017. "Uncertain project scheduling problem with resource constraints," Journal of Intelligent Manufacturing, Springer, vol. 28(3), pages 575-580, March.
    19. Portoleau, Tom & Artigues, Christian & Guillaume, Romain, 2024. "Robust decision trees for the multi-mode project scheduling problem with a resource investment objective and uncertain activity duration," European Journal of Operational Research, Elsevier, vol. 312(2), pages 525-540.
    20. Drexl, Andreas & Kimms, Alf, 1998. "Optimization guided lower and upper bounds for the resource investment problem," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 481, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    21. 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.
    22. Neumann, K. & Zimmermann, J., 1999. "Resource levelling for projects with schedule-dependent time windows," European Journal of Operational Research, Elsevier, vol. 117(3), pages 591-605, September.
    23. Neumann, K. & Zimmermann, J., 2000. "Procedures for resource leveling and net present value problems in project scheduling with general temporal and resource constraints," European Journal of Operational Research, Elsevier, vol. 127(2), pages 425-443, December.
    24. Masoud Arjmand & Amir Abbas Najafi & Majid Ebrahimzadeh, 2020. "Evolutionary algorithms for multi-objective stochastic resource availability cost problem," OPSEARCH, Springer;Operational Research Society of India, vol. 57(3), pages 935-985, September.

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