{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","page":"543 - 558","intvolume":" 8044","publist_id":"4459","language":[{"iso":"eng"}],"quality_controlled":"1","oa":1,"main_file_link":[{"url":"http://arxiv.org/abs/1304.0084","open_access":"1"}],"author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu"},{"first_name":"Jakub","full_name":"Ła̧Cki, Jakub","last_name":"Ła̧Cki"}],"doi":"10.1007/978-3-642-39799-8_36","_id":"2444","alternative_title":["LNCS"],"volume":8044,"external_id":{"arxiv":["1304.0084"]},"project":[{"name":"Modern Graph Algorithmic Techniques in Formal Verification","_id":"2584A770-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"P 23499-N23"},{"grant_number":"S11407","call_identifier":"FWF","_id":"25863FF4-B435-11E9-9278-68D0E5697425","name":"Game Theory"},{"call_identifier":"FP7","grant_number":"279307","name":"Quantitative Graph Games: Theory and Applications","_id":"2581B60A-B435-11E9-9278-68D0E5697425"},{"_id":"2587B514-B435-11E9-9278-68D0E5697425","name":"Microsoft Research Faculty Fellowship"}],"date_published":"2013-07-01T00:00:00Z","publication_status":"published","day":"01","conference":{"location":"St. Petersburg, Russia","end_date":"2013-07-19","name":"CAV: Computer Aided Verification","start_date":"2013-07-13"},"oa_version":"Preprint","department":[{"_id":"KrCh"}],"status":"public","ec_funded":1,"series_title":"Lecture Notes in Computer Science","publisher":"Springer","abstract":[{"text":"We consider two core algorithmic problems for probabilistic verification: the maximal end-component decomposition and the almost-sure reachability set computation for Markov decision processes (MDPs). For MDPs with treewidth k, we present two improved static algorithms for both the problems that run in time O(n·k 2.38·2k ) and O(m·logn· k), respectively, where n is the number of states and m is the number of edges, significantly improving the previous known O(n·k·√n· k) bound for low treewidth. We also present decremental algorithms for both problems for MDPs with constant treewidth that run in amortized logarithmic time, which is a huge improvement over the previously known algorithms that require amortized linear time.","lang":"eng"}],"year":"2013","date_updated":"2020-08-11T10:09:47Z","month":"07","title":"Faster algorithms for Markov decision processes with low treewidth","scopus_import":1,"date_created":"2018-12-11T11:57:42Z","citation":{"apa":"Chatterjee, K., & Ła̧Cki, J. (2013). Faster algorithms for Markov decision processes with low treewidth. Presented at the CAV: Computer Aided Verification, St. Petersburg, Russia: Springer. https://doi.org/10.1007/978-3-642-39799-8_36","chicago":"Chatterjee, Krishnendu, and Jakub Ła̧Cki. “Faster Algorithms for Markov Decision Processes with Low Treewidth.” Lecture Notes in Computer Science. Springer, 2013. https://doi.org/10.1007/978-3-642-39799-8_36.","mla":"Chatterjee, Krishnendu, and Jakub Ła̧Cki. Faster Algorithms for Markov Decision Processes with Low Treewidth. Vol. 8044, Springer, 2013, pp. 543–58, doi:10.1007/978-3-642-39799-8_36.","ista":"Chatterjee K, Ła̧Cki J. 2013. Faster algorithms for Markov decision processes with low treewidth. 8044, 543–558.","short":"K. Chatterjee, J. Ła̧Cki, 8044 (2013) 543–558.","ieee":"K. Chatterjee and J. Ła̧Cki, “Faster algorithms for Markov decision processes with low treewidth,” vol. 8044. Springer, pp. 543–558, 2013.","ama":"Chatterjee K, Ła̧Cki J. Faster algorithms for Markov decision processes with low treewidth. 2013;8044:543-558. doi:10.1007/978-3-642-39799-8_36"},"type":"conference"}