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Continuous Preemption Problems

In: Handbook on Project Management and Scheduling Vol.1

Author

Listed:
  • Christoph Schwindt

    (Clausthal University of Technology)

  • Tobias Paetz

    (Clausthal University of Technology)

Abstract

In this chapter we are concerned with project scheduling problems involving preemption of activities at arbitrary points in time. We survey the literature on preemptive project scheduling and propose a classification scheme for these problems. We then consider a project scheduling problem under continuous preemption, flexible resource allocation, and generalized feeding precedence relations between the activities. After providing a formal problem statement we reduce the problem to a canonical form only containing nonpositive completion-to-start time lags and investigate structural issues like necessary feasibility conditions and preemption gains. Next, we develop an MILP formulation that encodes a schedule as a sequence of slices containing sets of activities that are simultaneously in progress. Moreover, feasibility tests, preprocessing methods, and a column-generated based lower bound on the minimum project duration are presented. Finally, we report on the results of an experimental performance analysis of the MILP model for the project duration problem.

Suggested Citation

  • Christoph Schwindt & Tobias Paetz, 2015. "Continuous Preemption Problems," International Handbooks on Information Systems, in: Christoph Schwindt & Jürgen Zimmermann (ed.), Handbook on Project Management and Scheduling Vol.1, edition 127, chapter 0, pages 251-295, Springer.
    • Handle: RePEc:spr:ihichp:978-3-319-05443-8_13
    DOI: 10.1007/978-3-319-05443-8_13
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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. Carvalho, Andréa Nunes & Oliveira, Fabricio & Scavarda, Luiz Felipe, 2016. "Tactical capacity planning in a real-world ETO industry case: A robust optimization approach," International Journal of Production Economics, Elsevier, vol. 180(C), pages 158-171.
    3. Creemers, Stefan, 2019. "The preemptive stochastic resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 277(1), pages 238-247.
    4. Stefan Creemers, 2019. "The preemptive stochastic resource-constrained project scheduling problem," Post-Print hal-02992618, HAL.
    5. Carvalho, Andréa Nunes & Oliveira, Fabricio & Scavarda, Luiz Felipe, 2015. "Tactical capacity planning in a real-world ETO industry case: An action research," International Journal of Production Economics, Elsevier, vol. 167(C), pages 187-203.

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