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An exact algorithm for minimizing resource availability costs in project scheduling

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  • Rodrigues, Sávio B.
  • Yamashita, Denise S.

Abstract

A new exact algorithm that solves the Resource Availability Cost Problem (RACP) in project scheduling is shown to yield a significant improvement over the existing algorithm in the literature. The new algorithm consists of a hybrid method where an initial feasible solution is found heuristically. The branching scheme solves a Resource-Constrained Project Scheduling Problem (RCPSP) at each node where the resources of the RACP are fixed. The knowledge of previously solved RCPSPs is used to produce cuts in the search tree. A worst-case-performance theorem is established for this new algorithm. Experiments are performed on instances adapted from the PSPLIB database. The new algorithm can be used to minimize any resource availability cost problem once a procedure for the underlying resource-constrained problem is available.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:206:y:2010:i:3:p:562-568
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    1. Rainer Kolisch & Arno Sprecher & Andreas Drexl, 1995. "Characterization and Generation of a General Class of Resource-Constrained Project Scheduling Problems," Management Science, INFORMS, vol. 41(10), pages 1693-1703, October.
    2. Erik Demeulemeester, 1995. "Minimizing Resource Availability Costs in Time-Limited Project Networks," Management Science, INFORMS, vol. 41(10), pages 1590-1598, October.
    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. Hartmann, Sonke & Kolisch, Rainer, 2000. "Experimental evaluation of state-of-the-art heuristics for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 127(2), pages 394-407, December.
    5. Hartmann, Sönke & Kolisch, R., 2000. "Experimental evaluation of state-of-the-art heuristics for the resource-constrained project scheduling problem," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 11180, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    6. 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.
    7. Erik Demeulemeester & Willy Herroelen, 1992. "A Branch-and-Bound Procedure for the Multiple Resource-Constrained Project Scheduling Problem," Management Science, INFORMS, vol. 38(12), pages 1803-1818, December.
    8. 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.
    9. A Drexl & A Kimms, 2001. "Optimization guided lower and upper bounds for the resource investment problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(3), pages 340-351, March.
    10. Kolisch, Rainer & Hartmann, Sönke, 1998. "Heuristic algorithms for solving the resource-constrained project scheduling problem: Classification and computational analysis," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 469, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    11. Kolisch, Rainer & Hartmann, Sonke, 2006. "Experimental investigation of heuristics for resource-constrained project scheduling: An update," European Journal of Operational Research, Elsevier, vol. 174(1), pages 23-37, October.
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    Cited by:

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    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. Briskorn, Dirk & Davari, Morteza & Matuschke, Jannik, 2021. "Single-machine scheduling with an external resource," European Journal of Operational Research, Elsevier, vol. 293(2), pages 457-468.
    10. Zhao, Mingxuan & Zhou, Jian & Wang, Ke & Pantelous, Athanasios A., 2023. "Project scheduling problem with fuzzy activity durations: A novel operational law based solution framework," European Journal of Operational Research, Elsevier, vol. 306(2), pages 519-534.

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