Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH scholarly article en Gigante, Nicola; Montanari, Angelo; Cialdea Mayer, Marta; Orlandini, Andrea; Reynolds, Mark http://www.dagstuhl.de/lipics License
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URN: urn:nbn:de:0030-drops-97786
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A Game-Theoretic Approach to Timeline-Based Planning with Uncertainty

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Abstract

In timeline-based planning, domains are described as sets of independent, but interacting, components, whose behaviour over time (the set of timelines) is governed by a set of temporal constraints. A distinguishing feature of timeline-based planning systems is the ability to integrate planning with execution by synthesising control strategies for flexible plans. However, flexible plans can only represent temporal uncertainty, while more complex forms of nondeterminism are needed to deal with a wider range of realistic problems. In this paper, we propose a novel game-theoretic approach to timeline-based planning problems, generalising the state of the art while uniformly handling temporal uncertainty and nondeterminism. We define a general concept of timeline-based game and we show that the notion of winning strategy for these games is strictly more general than that of control strategy for dynamically controllable flexible plans. Moreover, we show that the problem of establishing the existence of such winning strategies is decidable using a doubly exponential amount of space.

BibTeX - Entry

@InProceedings{gigante_et_al:LIPIcs:2018:9778,
  author =	{Nicola Gigante and Angelo Montanari and Marta Cialdea Mayer and Andrea Orlandini and Mark Reynolds},
  title =	{{A Game-Theoretic Approach to Timeline-Based Planning with Uncertainty}},
  booktitle =	{25th International Symposium on Temporal Representation  and Reasoning (TIME 2018)},
  pages =	{13:1--13:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-089-7},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{120},
  editor =	{Natasha Alechina and Kjetil N{\o}rv{\aa}g and Wojciech Penczek},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/9778},
  URN =		{urn:nbn:de:0030-drops-97786},
  doi =		{10.4230/LIPIcs.TIME.2018.13},
  annote =	{Keywords: Timeline-based planning with uncertainty, strategic games, decidability}
}

Keywords: Timeline-based planning with uncertainty, strategic games, decidability
Seminar: 25th International Symposium on Temporal Representation and Reasoning (TIME 2018)
Issue date: 2018
Date of publication: 2018


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