DROPS

Document

DOI: 10.4230/LIPIcs.CONCUR.2015.311

On the Value Problem in Weighted Timed Games

Authors: Patricia Bouyer, Samy Jaziri, and Nicolas Markey

Published in: LIPIcs, Volume 42, 26th International Conference on Concurrency Theory (CONCUR 2015)

Abstract

A weighted timed game is a timed game with extra quantitative information representing e.g. energy consumption. Optimizing the weight for reaching a target is a natural question, which has already been investigated for ten years. Existence of optimal strategies is known to be undecidable in general, and only very restricted classes of games have been identified for which optimal weight and almost-optimal strategies can be computed. In this paper, we show that the value problem is undecidable in weighted timed games. We then introduce a large subclass of weighted timed games (for which the undecidability proof above applies), and provide an algorithm to compute arbitrary approximations of the value in such games. To the best of our knowledge, this is the first approximation scheme for an undecidable class of weighted timed games.

Cite as

Patricia Bouyer, Samy Jaziri, and Nicolas Markey. On the Value Problem in Weighted Timed Games. In 26th International Conference on Concurrency Theory (CONCUR 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 42, pp. 311-324, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)

Copy BibTex To Clipboard

@InProceedings{bouyer_et_al:LIPIcs.CONCUR.2015.311,
  author =	{Bouyer, Patricia and Jaziri, Samy and Markey, Nicolas},
  title =	{{On the Value Problem in Weighted Timed Games}},
  booktitle =	{26th International Conference on Concurrency Theory (CONCUR 2015)},
  pages =	{311--324},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-91-0},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{42},
  editor =	{Aceto, Luca and de Frutos Escrig, David},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2015.311},
  URN =		{urn:nbn:de:0030-drops-53863},
  doi =		{10.4230/LIPIcs.CONCUR.2015.311},
  annote =	{Keywords: Timed games, undecidability, approximation}
}

Search Results

Documents authored by Jaziri, Samy

On the Value Problem in Weighted Timed Games

Abstract

Cite as

Thanks for your feedback!

Could not send message