{"abstract":[{"lang":"eng","text":"We study controller synthesis problems for finite-state Markov decision processes, where the objective is to optimize the expected mean-payoff performance and stability (also known as variability in the literature). We argue that the basic notion of expressing the stability using the statistical variance of the mean payoff is sometimes insufficient, and propose an alternative definition. We show that a strategy ensuring both the expected mean payoff and the variance below given bounds requires randomization and memory, under both the above definitions. We then show that the problem of finding such a strategy can be expressed as a set of constraints."}],"article_processing_charge":"No","pubrep_id":"717","intvolume":"        84","status":"public","file_date_updated":"2020-07-14T12:44:42Z","publication_status":"published","page":"144 - 170","type":"journal_article","date_published":"2017-03-01T00:00:00Z","publisher":"Elsevier","related_material":{"record":[{"id":"2305","status":"public","relation":"earlier_version"}]},"date_created":"2018-12-11T11:51:12Z","oa_version":"Published Version","language":[{"iso":"eng"}],"month":"03","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","title":"Trading performance for stability in Markov decision processes","external_id":{"isi":["000388430000011"]},"publication":"Journal of Computer and System Sciences","has_accepted_license":"1","file":[{"relation":"main_file","checksum":"91271b23cf884d7c06d33bef0cd623b1","date_created":"2018-12-12T10:11:30Z","file_id":"4885","content_type":"application/pdf","file_name":"IST-2016-717-v1+1_1-s2.0-S0022000016300897-main.pdf","access_level":"open_access","file_size":708657,"creator":"system","date_updated":"2020-07-14T12:44:42Z"}],"author":[{"last_name":"Brázdil","full_name":"Brázdil, Tomáš","first_name":"Tomáš"},{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","last_name":"Chatterjee","first_name":"Krishnendu"},{"full_name":"Forejt, Vojtěch","last_name":"Forejt","first_name":"Vojtěch"},{"first_name":"Antonín","last_name":"Kučera","full_name":"Kučera, Antonín"}],"year":"2017","_id":"1294","project":[{"call_identifier":"FWF","_id":"2584A770-B435-11E9-9278-68D0E5697425","grant_number":"P 23499-N23","name":"Modern Graph Algorithmic Techniques in Formal Verification"},{"grant_number":"S11407","name":"Game Theory","call_identifier":"FWF","_id":"25863FF4-B435-11E9-9278-68D0E5697425"},{"_id":"2581B60A-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","name":"Quantitative Graph Games: Theory and Applications","grant_number":"279307"},{"_id":"2587B514-B435-11E9-9278-68D0E5697425","name":"Microsoft Research Faculty Fellowship"}],"scopus_import":"1","publist_id":"6009","isi":1,"ddc":["004","006"],"ec_funded":1,"oa":1,"volume":84,"date_updated":"2023-09-20T11:15:31Z","doi":"10.1016/j.jcss.2016.09.009","department":[{"_id":"KrCh"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"day":"01","quality_controlled":"1","citation":{"short":"T. Brázdil, K. Chatterjee, V. Forejt, A. Kučera, Journal of Computer and System Sciences 84 (2017) 144–170.","ieee":"T. Brázdil, K. Chatterjee, V. Forejt, and A. Kučera, “Trading performance for stability in Markov decision processes,” <i>Journal of Computer and System Sciences</i>, vol. 84. Elsevier, pp. 144–170, 2017.","ama":"Brázdil T, Chatterjee K, Forejt V, Kučera A. Trading performance for stability in Markov decision processes. <i>Journal of Computer and System Sciences</i>. 2017;84:144-170. doi:<a href=\"https://doi.org/10.1016/j.jcss.2016.09.009\">10.1016/j.jcss.2016.09.009</a>","apa":"Brázdil, T., Chatterjee, K., Forejt, V., &#38; Kučera, A. (2017). Trading performance for stability in Markov decision processes. <i>Journal of Computer and System Sciences</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jcss.2016.09.009\">https://doi.org/10.1016/j.jcss.2016.09.009</a>","chicago":"Brázdil, Tomáš, Krishnendu Chatterjee, Vojtěch Forejt, and Antonín Kučera. “Trading Performance for Stability in Markov Decision Processes.” <i>Journal of Computer and System Sciences</i>. Elsevier, 2017. <a href=\"https://doi.org/10.1016/j.jcss.2016.09.009\">https://doi.org/10.1016/j.jcss.2016.09.009</a>.","mla":"Brázdil, Tomáš, et al. “Trading Performance for Stability in Markov Decision Processes.” <i>Journal of Computer and System Sciences</i>, vol. 84, Elsevier, 2017, pp. 144–70, doi:<a href=\"https://doi.org/10.1016/j.jcss.2016.09.009\">10.1016/j.jcss.2016.09.009</a>.","ista":"Brázdil T, Chatterjee K, Forejt V, Kučera A. 2017. Trading performance for stability in Markov decision processes. Journal of Computer and System Sciences. 84, 144–170."}}