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Sharing delay costs in stochastic scheduling problems with delays

Author

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  • J. C. Gonçalves-Dosantos

    (Universidade da Coruña)

  • I. García-Jurado

    (Universidade da Coruña)

  • J. Costa

    (Universidade da Coruña)

Abstract

An important problem in project management is determining ways to distribute amongst activities the costs that are incurred when a project is delayed because some activities end later than expected. In this study, we address this problem in stochastic projects, where the durations of activities are unknown but their corresponding probability distributions are known. We propose and characterise an allocation rule based on the Shapley value, illustrate its behaviour by using examples, and analyse features of its calculation for large problems.

Suggested Citation

  • J. C. Gonçalves-Dosantos & I. García-Jurado & J. Costa, 2020. "Sharing delay costs in stochastic scheduling problems with delays," 4OR, Springer, vol. 18(4), pages 457-476, December.
  • Handle: RePEc:spr:aqjoor:v:18:y:2020:i:4:d:10.1007_s10288-019-00427-9
    DOI: 10.1007/s10288-019-00427-9
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    References listed on IDEAS

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    6. Cyril Briand & Sandra Ulrich Ngueveu & Přemysl Šůcha, 2017. "Finding an optimal Nash equilibrium to the multi-agent project scheduling problem," Journal of Scheduling, Springer, vol. 20(5), pages 475-491, October.
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    Cited by:

    1. J. C. Gonçalves-Dosantos & I. García-Jurado & J. Costa & J. M. Alonso-Meijide, 2022. "Necessary players and values," Annals of Operations Research, Springer, vol. 318(2), pages 935-961, November.
    2. Gustavo Bergantinos & Juan D. Moreno-Ternero, 2023. "Anonymity in sharing the revenues from broadcasting sports leagues," Papers 2303.17897, arXiv.org.

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