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Multi-resource allocation in stochastic project scheduling

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  • Wolfram Wiesemann
  • Daniel Kuhn
  • Berç Rustem

Abstract

We propose a resource allocation model for project scheduling. Our model accommodates multiple resources and decision-dependent activity durations inspired by microeconomic theory. First, we elaborate a deterministic problem formulation. In a second stage, we enhance this model to account for uncertain problem parameters. Assuming that the first and second moments of these parameters are known, the stochastic model minimises an approximation of the value-at-risk of the project makespan. As a salient feature, our approach employs a scenario-free formulation which is based on normal approximations of the activity path durations. We extend our model to situations in which the moments of the random parameters are ambiguous and describe an iterative solution procedure. Extensive numerical results are provided. Copyright Springer Science+Business Media, LLC 2012

Suggested Citation

  • Wolfram Wiesemann & Daniel Kuhn & Berç Rustem, 2012. "Multi-resource allocation in stochastic project scheduling," Annals of Operations Research, Springer, vol. 193(1), pages 193-220, March.
    • Handle: RePEc:spr:annopr:v:193:y:2012:i:1:p:193-220:10.1007/s10479-008-0486-z
    DOI: 10.1007/s10479-008-0486-z
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    References listed on IDEAS

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    Cited by:

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    3. Eli Gutin & Daniel Kuhn & Wolfram Wiesemann, 2015. "Interdiction Games on Markovian PERT Networks," Management Science, INFORMS, vol. 61(5), pages 999-1017, May.
    4. Gülpınar, Nalan & Çanakoğlu, Ethem & Branke, Juergen, 2018. "Heuristics for the stochastic dynamic task-resource allocation problem with retry opportunities," European Journal of Operational Research, Elsevier, vol. 266(1), pages 291-303.

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