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  • In this paper, we study algorithmic problems for quantitative models that are motivated by the applications in modeling embedded systems. We consider two-player games played on a weighted graph with mean-payoff objective and with energy constraints. We present a new pseudopolynomial algorithm for solving such games, improving the best known worst-case complexity for pseudopolynomial mean-payoff algorithms. Our algorithm can also be combined with the procedure by Andersson and Vorobyov to obtain a randomized algorithm with currently the best expected time complexity. The proposed solution relies on a simple fixpoint iteration to solve the log-space equivalent problem of deciding the winner of energy games. Our results imply also that energy games and mean-payoff games can be reduced to safety games in pseudopolynomial time.
  • In this paper, we study algorithmic problems for quantitative models that are motivated by the applications in modeling embedded systems. We consider two-player games played on a weighted graph with mean-payoff objective and with energy constraints. We present a new pseudopolynomial algorithm for solving such games, improving the best known worst-case complexity for pseudopolynomial mean-payoff algorithms. Our algorithm can also be combined with the procedure by Andersson and Vorobyov to obtain a randomized algorithm with currently the best expected time complexity. The proposed solution relies on a simple fixpoint iteration to solve the log-space equivalent problem of deciding the winner of energy games. Our results imply also that energy games and mean-payoff games can be reduced to safety games in pseudopolynomial time. (en)
Title
  • Faster algorithms for mean-payoff games
  • Faster algorithms for mean-payoff games (en)
skos:prefLabel
  • Faster algorithms for mean-payoff games
  • Faster algorithms for mean-payoff games (en)
skos:notation
  • RIV/00216224:14330/11:00050261!RIV12-GA0-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/09/1389), Z(MSM0021622419)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 199378
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/11:00050261
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Mean payoff objectives; Algorithms and complexity upper bounds (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [4CD524B25019]
http://linked.open...i/riv/nazevZdroje
  • Formal Methods in System Design
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 38
http://linked.open...iv/tvurceVysledku
  • Brim, Luboš
  • Chaloupka, Jakub
  • Doyen, Laurent
  • Gentilini, Raffaella
  • Raskin, Jean-François
http://linked.open...ain/vavai/riv/wos
  • 000288671700001
http://linked.open...n/vavai/riv/zamer
issn
  • 0925-9856
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s10703-010-0105-x
http://localhost/t...ganizacniJednotka
  • 14330
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