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Time–dependent Simple Temporal Networks: Properties and Algorithms∗

Published online by Cambridge University Press:  18 April 2013

Cédric Pralet  and
Gérard Verfaillie
Cédric Pralet
Affiliation:
ONERA – The French Aerospace Lab, 31055, Toulouse, France. cedric.pralet@onera.fr, gerard.verfaillie@onera.fr
Gérard Verfaillie
Affiliation:
ONERA – The French Aerospace Lab, 31055, Toulouse, France. cedric.pralet@onera.fr, gerard.verfaillie@onera.fr
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Abstract

Simple Temporal Networks (STN) allow conjunctions of minimum and maximum distance constraints between pairs of temporal positions to be represented. This paper introduces an extension of STN called Time–dependent STN (TSTN), which covers temporal constraints for which the minimum and maximum distances required between two temporal positions x and y are not necessarily constant but may depend on the assignments of x and y. Such constraints are useful to model problems in which the duration of an activity may depend on its starting time, or problems in which the transition time required between two activities may depend on the time at which the transition is triggered. Properties of the new framework are analyzed, and standard STN solving techniques are extended to TSTN. The contributions are applied to the management of temporal constraints for so-called agile Earth observation satellites.

Keywords

Temporal constraintstime–dependent schedulingconstraint propagationagile satellites
Type
Research Article
Information
RAIRO - Operations Research , Volume 47 , Issue 2: ConstraintProgramming , April 2013 , pp. 173 - 198
Copyright
© EDP Sciences, ROADEF, SMAI, 2013

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