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Mixed-Integer Linear Programming Formulation and Priority-Rule Methods for a Preemptive Project Staffing and Scheduling Problem

In: Handbook on Project Management and Scheduling Vol.1

Author

Listed:
  • Cheikh Dhib

    (University François Rabelais)

  • Ameur Soukhal

    (University François Rabelais)

  • Emmanuel Néron

    (University François Rabelais)

Abstract

This chapter presents a generic model for an industrial project scheduling problem. The problem addressed here is an extension of the Resource-Constrained Project Scheduling Problem (RCPSP) and the Multi-Skill Project Scheduling Problem (MSPSP). The main specificities of this problem are the following: We considered both preemptive activities and non-preemptive activities, resource requirements of activities are given in terms of skills, and different durations exist in terms of both activities and skills. This model and its resolution methods are to be used in the Apache Open For Business (OFBiz) open source Enterprise Resource Planning (ERP) system, and must therefore satisfy some industrial constraints. We first propose a general model for this problem. Then, we propose a Mixed Integer Linear Program (MIP) formulation and a heuristic algorithm based on priority rules. The originality of the model lies in the fact that it simultaneously considers skill synchronization, preemption and precedence relationships. Experimental results performed on adapted instances from the PSPLIB benchmark are provided.

Suggested Citation

  • Cheikh Dhib & Ameur Soukhal & Emmanuel Néron, 2015. "Mixed-Integer Linear Programming Formulation and Priority-Rule Methods for a Preemptive Project Staffing and Scheduling Problem," International Handbooks on Information Systems, in: Christoph Schwindt & Jürgen Zimmermann (ed.), Handbook on Project Management and Scheduling Vol.1, edition 127, chapter 0, pages 603-617, Springer.
    • Handle: RePEc:spr:ihichp:978-3-319-05443-8_28
    DOI: 10.1007/978-3-319-05443-8_28
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    Citations

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    Cited by:

    1. 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.
    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.

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