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An efficient relax-and-solve method for the multi-mode resource constrained project scheduling problem

Author

Listed:
  • Alireza Etminaniesfahani

    (University of Technology Sydney)

  • Hanyu Gu

    (University of Technology Sydney)

  • Leila Moslemi Naeni

    (University of Technology Sydney)

  • Amir Salehipour

    (The University of Sydney Business School)

Abstract

The multi-mode resource constrained project scheduling problem (MRCPSP) is an NP-hard optimisation problem involving scheduling tasks under resource and precedence constraints, while there are several modes for executing each task. In this paper, we propose a novel matheuristic based on relax-and-solve (R &S) algorithm to solve MRCPSP. In addition, a mathematical programming model, which is the generalisation of the multi-dimensional knapsack problem is developed. That model conducts the mode selection process for the purpose of generating an initial feasible solution. We evaluate the performance of the proposed algorithm by solving benchmark instances that are widely used in the literature. The results demonstrate that the proposed R &S algorithm outperforms the state-of-the-art methods for solving the MRCPSP.

Suggested Citation

  • Alireza Etminaniesfahani & Hanyu Gu & Leila Moslemi Naeni & Amir Salehipour, 2024. "An efficient relax-and-solve method for the multi-mode resource constrained project scheduling problem," Annals of Operations Research, Springer, vol. 338(1), pages 41-68, July.
    • Handle: RePEc:spr:annopr:v:338:y:2024:i:1:d:10.1007_s10479-023-05775-8
    DOI: 10.1007/s10479-023-05775-8
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