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Planning problems are a very important application area for constraint satisfactory problems. Temporal networks are a common way of planning problems representation. In temporal network nodes represent time points and arcs represent time relations. A solution of temporal network means finding such p...

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Bibliographic Details
Main Author: Hejna, Martin
Other Authors: Čepek, Ondřej
Format: Dissertation
Language:Czech
Published: 2007
Online Access:http://www.nusl.cz/ntk/nusl-289130
Description
Summary:Planning problems are a very important application area for constraint satisfactory problems. Temporal networks are a common way of planning problems representation. In temporal network nodes represent time points and arcs represent time relations. A solution of temporal network means finding such parameters of nodes, that all constraints hold. A nested temporal network, as presented in this thesis, is a special case of the temporal network, which has a restricted structure to be still powerfull for practical use and simultaneously allows using of more effective solving methods. In this thesis nested temporal networks are defined and explored. A polynomial time method for global consistency of alternatives is presented and a proof of NP-completeness for global consistency is demonstrated. If more than one solution exist, it is suitable to have a method for comparing solutions. A common way to accomplish this is price. Usual task is to find solution with minimal price. In the thesis we use the Branch and Bound method with a new filtering algorithm, which exploites the special structure of nested temporal network.