{"related_material":{"record":[{"status":"public","relation":"later_version","id":"3345"}]},"date_created":"2018-12-12T11:39:02Z","oa_version":"Published Version","doi":"10.15479/AT:IST-2011-0001","abstract":[{"text":"We consider Markov Decision Processes (MDPs) with mean-payoff parity and energy parity objectives. In system design, the parity objective is used to encode ω-regular specifications, and the mean-payoff and energy objectives can be used to model quantitative resource constraints. The energy condition re- quires that the resource level never drops below 0, and the mean-payoff condi- tion requires that the limit-average value of the resource consumption is within a threshold. While these two (energy and mean-payoff) classical conditions are equivalent for two-player games, we show that they differ for MDPs. We show that the problem of deciding whether a state is almost-sure winning (i.e., winning with probability 1) in energy parity MDPs is in NP ∩ coNP, while for mean- payoff parity MDPs, the problem is solvable in polynomial time, improving a recent PSPACE bound.","lang":"eng"}],"status":"public","pubrep_id":"23","type":"technical_report","oa":1,"has_accepted_license":"1","publisher":"IST Austria","file_date_updated":"2020-07-14T12:46:41Z","date_updated":"2023-02-23T11:23:11Z","title":"Energy and mean-payoff parity Markov decision processes","page":"20","file":[{"access_level":"open_access","content_type":"application/pdf","file_id":"5458","file_size":329976,"checksum":"824d6c70e6d3feb3e836b009e0b3cf73","file_name":"IST-2011-0001_IST-2011-0001.pdf","creator":"system","date_updated":"2020-07-14T12:46:41Z","date_created":"2018-12-12T11:52:57Z","relation":"main_file"}],"language":[{"iso":"eng"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"5387","publication_status":"published","alternative_title":["IST Austria Technical Report"],"date_published":"2011-02-16T00:00:00Z","citation":{"ieee":"K. Chatterjee and L. Doyen, <i>Energy and mean-payoff parity Markov decision processes</i>. IST Austria, 2011.","short":"K. Chatterjee, L. Doyen, Energy and Mean-Payoff Parity Markov Decision Processes, IST Austria, 2011.","chicago":"Chatterjee, Krishnendu, and Laurent Doyen. <i>Energy and Mean-Payoff Parity Markov Decision Processes</i>. IST Austria, 2011. <a href=\"https://doi.org/10.15479/AT:IST-2011-0001\">https://doi.org/10.15479/AT:IST-2011-0001</a>.","ama":"Chatterjee K, Doyen L. <i>Energy and Mean-Payoff Parity Markov Decision Processes</i>. IST Austria; 2011. doi:<a href=\"https://doi.org/10.15479/AT:IST-2011-0001\">10.15479/AT:IST-2011-0001</a>","ista":"Chatterjee K, Doyen L. 2011. Energy and mean-payoff parity Markov decision processes, IST Austria, 20p.","apa":"Chatterjee, K., &#38; Doyen, L. (2011). <i>Energy and mean-payoff parity Markov decision processes</i>. IST Austria. <a href=\"https://doi.org/10.15479/AT:IST-2011-0001\">https://doi.org/10.15479/AT:IST-2011-0001</a>","mla":"Chatterjee, Krishnendu, and Laurent Doyen. <i>Energy and Mean-Payoff Parity Markov Decision Processes</i>. IST Austria, 2011, doi:<a href=\"https://doi.org/10.15479/AT:IST-2011-0001\">10.15479/AT:IST-2011-0001</a>."},"year":"2011","day":"16","department":[{"_id":"KrCh"}],"author":[{"orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","last_name":"Chatterjee","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu"},{"last_name":"Doyen","first_name":"Laurent","full_name":"Doyen, Laurent"}],"publication_identifier":{"issn":["2664-1690"]},"ddc":["000","005"],"month":"02"}