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Models and solution procedures for the resource-constrained project scheduling problem with general temporal constraints and calendars

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  • Kreter, Stefan
  • Rieck, Julia
  • Zimmermann, Jürgen

Abstract

In this paper, the resource-constrained project scheduling problem with general temporal constraints is extended by the concept of break-calendars in order to incorporate the possible absence of renewable resources. Three binary linear model formulations are presented that use either start-based or changeover-based or execution-based binary decision variables. In addition, a priority-rule method as well as three different versions of a scatter search procedure are proposed in order to solve the problem heuristically. All exact and heuristic solution procedures use a new and powerful time planning method, which identifies all time- and calendar-feasible start times for activities as well as all corresponding absolute time lags between activities. In a comprehensive performance analysis, small- and medium-scale instances are solved with CPLEX 12.6. Furthermore, large-scale instances of the problem are tackled with scatter search, where the results of the three versions are compared to each other and to the priority-rule method.

Suggested Citation

  • Kreter, Stefan & Rieck, Julia & Zimmermann, Jürgen, 2016. "Models and solution procedures for the resource-constrained project scheduling problem with general temporal constraints and calendars," European Journal of Operational Research, Elsevier, vol. 251(2), pages 387-403.
    • Handle: RePEc:eee:ejores:v:251:y:2016:i:2:p:387-403
    DOI: 10.1016/j.ejor.2015.11.021
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    Cited by:

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    2. 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.
    3. Nataliia Dotsenko & Dmytro Chumachenko & Yuliia Husieva & Nataliia Kosenko & Igor Chumachenko, 2022. "Sustainable Management of Healthcare Settings’ Personnel Based on Intelligent Project-Oriented Approach for Post-War Development," Energies, MDPI, vol. 15(22), pages 1-18, November.
    4. 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.
    5. Philippe Lacomme & Aziz Moukrim & Alain Quilliot & Marina Vinot, 2019. "Integration of routing into a resource-constrained project scheduling problem," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 7(4), pages 421-464, December.
    6. Nataliia Dotsenko & Dmytro Chumachenko & Igor Chumachenko & Andrii Galkin & Tomasz Lis & Marek Lis, 2021. "Conceptual Framework of Sustainable Management of the Process of Forming a Project Team with Functional Redundancy," Energies, MDPI, vol. 14(24), pages 1-22, December.

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