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Minimizing the expected makespan of a project with stochastic activity durations under resource constraints

Published: 01 June 2015 Publication History

Abstract

The resource-constrained project scheduling problem (RCPSP) has been widely studied. A fundamental assumption of the basic type of RCPSP is that activity durations are deterministic (i.e., they are known in advance). In reality, however, this is almost never the case. In this article, we illustrate why it is important to incorporate activity duration uncertainty, and develop an exact procedure to optimally solve the stochastic resource-constrained scheduling problem. A computational experiment shows that our approach works best when solving small- to medium-sized problem instances where activity durations have a moderate-to-high level of variability. For this setting, our model outperforms the existing state-of-the-art. In addition, we use our model to assess the optimality gap of existing heuristic approaches, and investigate the impact of making scheduling decisions also during the execution of an activity rather than only at the end of an activity.

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Information

Published In

cover image Journal of Scheduling
Journal of Scheduling  Volume 18, Issue 3
June 2015
100 pages

Publisher

Kluwer Academic Publishers

United States

Publication History

Published: 01 June 2015

Author Tags

  1. Computational experiment
  2. Dynamic programming
  3. Makespan
  4. Project scheduling
  5. Resource constraints
  6. Stochastic activity durations

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  • (2022)Simulation-based priority rules for the stochastic resource-constrained net present value and risk problemComputers and Industrial Engineering10.1016/j.cie.2021.107607160:COnline publication date: 22-Apr-2022
  • (2021)New closed-loop approximate dynamic programming for solving stochastic decentralized multi-project scheduling problem with resource transfersExpert Systems with Applications: An International Journal10.1016/j.eswa.2021.115593185:COnline publication date: 15-Dec-2021
  • (2021)A hyper-heuristic based ensemble genetic programming approach for stochastic resource constrained project scheduling problemExpert Systems with Applications: An International Journal10.1016/j.eswa.2020.114174167:COnline publication date: 30-Dec-2021
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