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Stochastic project management: multiple projects with multi-skilled human resources

Author

Listed:
  • Thomas Felberbauer

    (St. Pölten University of Applied Sciences)

  • Walter J. Gutjahr

    (University of Vienna)

  • Karl F. Doerner

    (University of Vienna)

Abstract

This paper presents two stochastic optimization approaches for simultaneous project scheduling and personnel planning, extending a deterministic model previously developed by Heimerl and Kolisch. For the problem of assigning work packages to multi-skilled human resources with heterogeneous skills, the uncertainty on work package processing times is addressed. In the case where the required capacity exceeds the available capacity of internal resources, external human resources are used. The objective is to minimize the expected external costs. The first solution approach is a “matheuristic” based on a decomposition of the problem into a project scheduling subproblem and a staffing subproblem. An iterated local search procedure determines the project schedules, while the staffing subproblem is solved by means of the Frank–Wolfe algorithm for convex optimization. The second solution approach is sample average approximation where, based on sampled scenarios, the deterministic equivalent problem is solved through mixed-integer programming. Experimental results for synthetically generated test instances inspired by a real-world situation are provided, and some managerial insights are derived.

Suggested Citation

  • Thomas Felberbauer & Walter J. Gutjahr & Karl F. Doerner, 2019. "Stochastic project management: multiple projects with multi-skilled human resources," Journal of Scheduling, Springer, vol. 22(3), pages 271-288, June.
    • Handle: RePEc:spr:jsched:v:22:y:2019:i:3:d:10.1007_s10951-018-0592-y
    DOI: 10.1007/s10951-018-0592-y
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    References listed on IDEAS

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    1. Christiane Barz & Rainer Kolisch, 2014. "Hierarchical Multi-skill Resource Assignment in the Telecommunications Industry," Production and Operations Management, Production and Operations Management Society, vol. 23(3), pages 489-503, March.
    2. Van den Bergh, Jorne & Beliën, Jeroen & De Bruecker, Philippe & Demeulemeester, Erik & De Boeck, Liesje, 2013. "Personnel scheduling: A literature review," European Journal of Operational Research, Elsevier, vol. 226(3), pages 367-385.
    3. Gutjahr, Walter J., 2015. "Bi-Objective Multi-Mode Project Scheduling Under Risk Aversion," European Journal of Operational Research, Elsevier, vol. 246(2), pages 421-434.
    4. Herbert Dawid & Karl F. Doerner & Gustav Feichtinger & Peter M. Kort & Andrea Seidl (ed.), 2016. "Dynamic Perspectives on Managerial Decision Making," Dynamic Modeling and Econometrics in Economics and Finance, Springer, number 978-3-319-39120-5, July-Dece.
    5. De Bruecker, Philippe & Van den Bergh, Jorne & Beliën, Jeroen & Demeulemeester, Erik, 2015. "Workforce planning incorporating skills: State of the art," European Journal of Operational Research, Elsevier, vol. 243(1), pages 1-16.
    6. Rainer Kolisch & Christian Heimerl, 2012. "An efficient metaheuristic for integrated scheduling and staffing IT projects based on a generalized minimum cost flow network," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(2), pages 111-127, March.
    7. Jonas Ingels & Broos Maenhout, 2017. "Employee substitutability as a tool to improve the robustness in personnel scheduling," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(3), pages 623-658, July.
    8. Helena R. Lourenço & Olivier C. Martin & Thomas Stützle, 2010. "Iterated Local Search: Framework and Applications," International Series in Operations Research & Management Science, in: Michel Gendreau & Jean-Yves Potvin (ed.), Handbook of Metaheuristics, chapter 0, pages 363-397, Springer.
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    Cited by:

    1. Snauwaert, Jakob & Vanhoucke, Mario, 2023. "A classification and new benchmark instances for the multi-skilled resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 307(1), pages 1-19.
    2. Meya Haroune & Cheikh Dhib & Emmanuel Neron & Ameur Soukhal & Hafed Mohamed Babou & Mohamedade Farouk Nanne, 2023. "Multi-project scheduling problem under shared multi-skill resource constraints," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(1), pages 194-235, April.
    3. Eryk Szwarc & Grzegorz Bocewicz & Paulina Golińska-Dawson & Zbigniew Banaszak, 2023. "Proactive Operations Management: Staff Allocation with Competence Maintenance Constraints," Sustainability, MDPI, vol. 15(3), pages 1-20, January.

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