4.7 Article

On computing the latest starting times and floats of activities in a network with imprecise durations

Journal

FUZZY SETS AND SYSTEMS
Volume 150, Issue 1, Pages 53-76

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2004.08.007

Keywords

project management and scheduling; data intervals; critical path analysis

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The paper deals with the problems of computing the intervals of possible values of the latest starting times and floats of activities in networks with imprecise durations, represented by means of interval or fuzzy numbers. So far, these problems have been completely solved when the networks are series parallel. We propose new polynomial algorithms for determining the intervals of the latest starting times in general networks. We also present complexity results for floats (the computation of floats is probably intractable) and de-scribe some polynomially solvable cases. Then we extend the results to networks with fuzzy durations. (C) 2004 Elsevier B.V. All rights reserved.

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