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International Conference on Principles and Practice of Constraint Programming

CP 2005: Principles and Practice of Constraint Programming - CP 2005 pp 226–240Cite as

Interval Analysis in Scheduling

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Part of the Lecture Notes in Computer Science book series (LNPSE,volume 3709)

Abstract

This paper reconsiders the most basic scheduling problem, that of minimizing the makespan of a partially ordered set of activities, in the context of incomplete knowledge. While this problem is very easy in the deterministic case, its counterpart when durations are interval-valued is much trickier, as standard results and algorithms no longer apply. After positioning this paper in the scope of temporal networks under uncertainty, we provide a complete solution to the problem of finding the latest starting times and floats of activities, and of locating surely critical ones, as they are often isolated. The minimal float problem is NP-hard while the maximal float problem is polynomial. New complexity results and efficient algorithms are provided for the interval-valued makespan minimization problem.

Keywords

  • Schedule Problem
  • Activity Network
  • Critical Path
  • Precedence Constraint
  • Longe Path

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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  • DOI: 10.1007/11564751_19
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Author information

Authors and Affiliations

  1. IRIT/UPS 118 route de Narbonne, 31062, Toulouse, cedex 4, France

    Jérôme Fortin, Didier Dubois & Hélène Fargier

  2. Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370, Wrocław, Poland

    Paweł Zieliński

Authors
  1. Jérôme Fortin
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  2. Paweł Zieliński
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  3. Didier Dubois
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  4. Hélène Fargier
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Editor information

Editors and Affiliations

  1. Cheriton School of Computer Science, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada

    Peter van Beek

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© 2005 Springer-Verlag Berlin Heidelberg

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Fortin, J., Zieliński, P., Dubois, D., Fargier, H. (2005). Interval Analysis in Scheduling. In: van Beek, P. (eds) Principles and Practice of Constraint Programming - CP 2005. CP 2005. Lecture Notes in Computer Science, vol 3709. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11564751_19

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  • DOI: https://doi.org/10.1007/11564751_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29238-8

  • Online ISBN: 978-3-540-32050-0

  • eBook Packages: Computer ScienceComputer Science (R0)