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Resource levelling in project scheduling with generalized precedence relationships and variable execution intensities

Author

Listed:
  • Lucio Bianco

    (University of Rome “Tor Vergata”)

  • Massimiliano Caramia

    (University of Rome “Tor Vergata”)

  • Stefano Giordani

    (University of Rome “Tor Vergata”)

Abstract

We study the problem of levelling resources in a project with generalized precedence relationships, given a deadline for the completion of all the activities and variable execution intensities and flexible durations of the activities. Variable execution intensities have been taken into account firstly by Kis (Math Program 103(3):515–539, 2005) applied to a real world scenario in which, due to the physical characteristics of some manufacturing processes, the effort associated with a certain activity for its execution may vary over time. Generalized precedence relationships and variable intensity execution and duration have not been dealt with together to the best of our knowledge. For this novel problem we propose a mixed-integer linear programming formulation, a lower bound based on Lagrangian relaxation, and a branch and bound algorithm. Computational results on known benchmarks are provided.

Suggested Citation

  • Lucio Bianco & Massimiliano Caramia & Stefano Giordani, 2016. "Resource levelling in project scheduling with generalized precedence relationships and variable execution intensities," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(2), pages 405-425, March.
    • Handle: RePEc:spr:orspec:v:38:y:2016:i:2:d:10.1007_s00291-016-0435-1
    DOI: 10.1007/s00291-016-0435-1
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    References listed on IDEAS

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    1. Fündeling, C.-U. & Trautmann, N., 2010. "A priority-rule method for project scheduling with work-content constraints," European Journal of Operational Research, Elsevier, vol. 203(3), pages 568-574, June.
    2. Kolisch, Rainer & Schwindt, Christoph & Sprecher, Arno, 1999. "Benchmark instances for project scheduling problems," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 9500, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    3. Bianco, Lucio & Caramia, Massimiliano, 2012. "An exact algorithm to minimize the makespan in project scheduling with scarce resources and generalized precedence relations," European Journal of Operational Research, Elsevier, vol. 219(1), pages 73-85.
    4. Rieck, Julia & Zimmermann, Jürgen & Gather, Thorsten, 2012. "Mixed-integer linear programming for resource leveling problems," European Journal of Operational Research, Elsevier, vol. 221(1), pages 27-37.
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    Cited by:

    1. Pascale Bendotti & Luca Brunod Indrigo & Philippe Chrétienne & Bruno Escoffier, 2024. "Resource leveling: complexity of a unit execution time two-processor scheduling variant and related problems," Journal of Scheduling, Springer, vol. 27(6), pages 587-606, December.
    2. Hartmann, Sönke & Briskorn, Dirk, 2022. "An updated survey of variants and extensions of the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 297(1), pages 1-14.
    3. Canca, David & Andrade-Pineda, José Luis & De-Los-Santos, Alicia & González-R, Pedro Luis, 2021. "A quantitative approach for the long-term assessment of Railway Rapid Transit network construction or expansion projects," European Journal of Operational Research, Elsevier, vol. 294(2), pages 604-621.
    4. Patrick Gerhards, 2020. "The multi-mode resource investment problem: a benchmark library and a computational study of lower and upper bounds," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(4), pages 901-933, December.
    5. Lena Sophie Wohlert & Jürgen Zimmermann, 2024. "Resource overload problems with tardiness penalty: structural properties and solution approaches," Annals of Operations Research, Springer, vol. 338(1), pages 151-172, July.
    6. Rainer Kolisch & Erik Demeulemeester & Rubén Ruiz Garcia & Vincent T’Kindt & Jan Węglarz, 2016. "Editorial “Project Management and Scheduling”," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(2), pages 279-281, March.
    7. Ilia Tarasov & Alain Haït & Alexander Lazarev & Olga Battaïa, 2024. "Metric estimation approach for managing uncertainty in resource leveling problem," Annals of Operations Research, Springer, vol. 338(1), pages 645-673, July.

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