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Integer Preemption Problems

In: Handbook on Project Management and Scheduling Vol.1

Author

Listed:
  • Sacramento Quintanilla

    (University of Valencia)

  • Pilar Lino

    (University of Valencia)

  • Ángeles Pérez

    (University of Valencia)

  • Francisco Ballestín

    (University of Valencia)

  • Vicente Valls

    (University of Valencia)

Abstract

A fundamental assumption in the basic RCPSP is that activities in progress are non-preemptable. Some papers reveal the potential benefits of allowing activity interruptions in the schedule when the objective is the makespan minimization. In this chapter we consider the Maxnint_PRCPSP in which it is assumed that activities can be interrupted at any integer time instant with no cost incurred, that each activity can be split into a maximum number of parts, and that each part has a minimum duration established. We show how some procedures developed for the RCPSP can be adapted to work with the Maxnint_PRCPSP and we introduce some procedures specifically designed for this problem. Furthermore, precedence relationships between activities can refer to portions of work content or periods of time. In single-modal project scheduling when interruption is not allowed, both are equivalent but not when preemption is considered. We present a study of generalized work and time precedence relationships and all conversions amongst them.

Suggested Citation

  • Sacramento Quintanilla & Pilar Lino & Ángeles Pérez & Francisco Ballestín & Vicente Valls, 2015. "Integer 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 231-250, Springer.
    • Handle: RePEc:spr:ihichp:978-3-319-05443-8_12
    DOI: 10.1007/978-3-319-05443-8_12
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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.

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