About: Minimizing Expected Termination Time in One-Counter Markov Decision Processes     Goto   Sponge   NotDistinct   Permalink

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Description
  • We consider the problem of computing the value and an optimal strategy for minimizing the expected termination time in one-counter Markov decision processes. Since the value may be irrational and an optimal strategy may be rather complicated, we concentrate on the problems of approximating the value up to a given error epsilon > 0 and computing a finite representation of an epsilon-optimal strategy. We show that these problems are solvable in exponential time for a given configuration, and we also show that they are computationally hard in the sense that a polynomial-time approximation algorithm cannot exist unless P=NP.
  • We consider the problem of computing the value and an optimal strategy for minimizing the expected termination time in one-counter Markov decision processes. Since the value may be irrational and an optimal strategy may be rather complicated, we concentrate on the problems of approximating the value up to a given error epsilon > 0 and computing a finite representation of an epsilon-optimal strategy. We show that these problems are solvable in exponential time for a given configuration, and we also show that they are computationally hard in the sense that a polynomial-time approximation algorithm cannot exist unless P=NP. (en)
Title
  • Minimizing Expected Termination Time in One-Counter Markov Decision Processes
  • Minimizing Expected Termination Time in One-Counter Markov Decision Processes (en)
skos:prefLabel
  • Minimizing Expected Termination Time in One-Counter Markov Decision Processes
  • Minimizing Expected Termination Time in One-Counter Markov Decision Processes (en)
skos:notation
  • RIV/00216224:14330/12:00057577!RIV13-GA0-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GAP202/10/1469), P(GPP202/12/P612)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 150658
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  • RIV/00216224:14330/12:00057577
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • one-counter automata; markov decision processes (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [BB9CD208EA48]
http://linked.open...v/mistoKonaniAkce
  • Warwick
http://linked.open...i/riv/mistoVydani
  • Berlin
http://linked.open...i/riv/nazevZdroje
  • Proceedings of 39th International Colloquium on Automata, Languages and Programming (ICALP 2012)
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  • Brázdil, Tomáš
  • Kučera, Antonín
  • Novotný, Petr
  • Wojtczak, Dominik
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http://linked.open.../riv/zahajeniAkce
issn
  • 0302-9743
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/978-3-642-31585-5_16
http://purl.org/ne...btex#hasPublisher
  • Springer-Verlag
https://schema.org/isbn
  • 9783642315848
http://localhost/t...ganizacniJednotka
  • 14330
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