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Minimizing a Makespan Under Uncertainty

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Proceedings of the Nineteenth International Joint Conference on Artificial Intelligence. Pages 1519-1519.

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. After positioning this paper in the scope of temporal networks under uncertainty, we provide a complete solution to the problem of finding 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.

Jérôme Fortin, Pawel Zielinski, Didier Dubois, and Helene Fargier. 2005. Minimizing a Makespan Under Uncertainty. In Proceedings of the Nineteenth International Joint Conference on Artificial Intelligence, IJCAI-05. IJCAI, 1519–1519. https://ijcai.org/proceedings/2005/292
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