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The Stochastic Resource-Constrained Project Scheduling Problem

In: Handbook on Project Management and Scheduling Vol. 2

Author

Listed:
  • Maria Elena Bruni

    (University of Calabria)

  • Patrizia Beraldi

    (University of Calabria)

  • Francesca Guerriero

    (University of Calabria)

Abstract

Resource-constrained project scheduling has been widely investigated in the academic literature, but the issue of the incorporation of uncertainty in project scheduling has received a growing research attention only in the last 15 years. This chapter gives an overview of models and methods for the resource-constrained project scheduling under uncertainty. The case of known deterministic renewable resource requirements and random activity durations with a known probability distribution function is studied in detail. In particular, we show how, through the use of joint probabilistic constraints, a feasible baseline schedule with minimum makespan can be built, which is able to tolerate a certain degree of uncertainty and to absorb dynamic variations in activity durations. The use of joint probabilistic constraints, within the stochastic scheduling problem, represents an innovative element in the literature and enables the relaxation of the common assumption that only one activity at a time disturbs the starting time of a successor activity, rather limiting the joint probability of disruption of the preceding activities to a given probability level. The results obtained with the proposed heuristics are discussed and compared with two well known heuristics taken from the literature on a set of randomly generated project instances. A practical application concerning a real project for construction of students’ apartments at the University of Calabria, Italy, is also illustrated. Based on the analysis of the various researches discussed in this chapter, avenues for future research will be also outlined.

Suggested Citation

  • Maria Elena Bruni & Patrizia Beraldi & Francesca Guerriero, 2015. "The Stochastic Resource-Constrained Project Scheduling Problem," International Handbooks on Information Systems, in: Christoph Schwindt & Jürgen Zimmermann (ed.), Handbook on Project Management and Scheduling Vol. 2, edition 127, chapter 0, pages 811-835, Springer.
    • Handle: RePEc:spr:ihichp:978-3-319-05915-0_7
    DOI: 10.1007/978-3-319-05915-0_7
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    Citations

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    Cited by:

    1. Rostami, Salim & Creemers, Stefan & Leus, Roel, 2024. "Maximizing the net present value of a project under uncertainty: Activity delays and dynamic policies," European Journal of Operational Research, Elsevier, vol. 317(1), pages 16-24.
    2. Öncü Hazir & Gündüz Ulusoy, 2020. "A classification and review of approaches and methods for modeling uncertainty in projects," Post-Print hal-02898162, HAL.
    3. Hazır, Öncü & Ulusoy, Gündüz, 2020. "A classification and review of approaches and methods for modeling uncertainty in projects," International Journal of Production Economics, Elsevier, vol. 223(C).
    4. Bruni, M.E. & Di Puglia Pugliese, L. & Beraldi, P. & Guerriero, F., 2017. "An adjustable robust optimization model for the resource-constrained project scheduling problem with uncertain activity durations," Omega, Elsevier, vol. 71(C), pages 66-84.

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