{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,20]],"date-time":"2025-09-20T21:30:39Z","timestamp":1758403839608,"version":"3.38.0"},"reference-count":32,"publisher":"Cambridge University Press (CUP)","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Appl. Probab."],"published-print":{"date-parts":[[2014,12]]},"abstract":"<jats:p>This paper considers the average optimality for a continuous-time Markov decision process in Borel state and action spaces, and with an arbitrarily unbounded nonnegative cost rate. The existence of a deterministic stationary optimal policy is proved under the conditions that allow the following; the controlled process can be explosive, the transition rates are weakly continuous, and the multifunction defining the admissible action spaces can be neither compact-valued nor upper semicontinuous.<\/jats:p>","DOI":"10.1017\/s0021900200011918","type":"journal-article","created":{"date-parts":[[2016,3,29]],"date-time":"2016-03-29T10:51:11Z","timestamp":1459248671000},"page":"954-970","source":"Crossref","is-referenced-by-count":1,"title":["Average Optimality for Continuous-Time Markov Decision Processes Under Weak Continuity Conditions"],"prefix":"10.1017","volume":"51","author":[{"given":"Yi","family":"Zhang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2016,2,4]]},"reference":[{"key":"S0021900200011918_ref34","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2007.06.071"},{"key":"S0021900200011918_ref20","doi-asserted-by":"publisher","DOI":"10.1007\/BF02837562"},{"volume-title":"Selected Topics on Continuous-time Controlled Markov Chains and Markov Games","year":"2012","key":"S0021900200011918_ref32"},{"key":"S0021900200011918_ref31","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-012-0015-8"},{"key":"S0021900200011918_ref30","doi-asserted-by":"publisher","DOI":"10.1137\/10081366X"},{"key":"S0021900200011918_ref18","doi-asserted-by":"publisher","DOI":"10.1239\/aap\/1293113146"},{"key":"S0021900200011918_ref17","doi-asserted-by":"publisher","DOI":"10.1214\/105051606000000105"},{"key":"S0021900200011918_ref16","doi-asserted-by":"publisher","DOI":"10.1109\/9.975505"},{"volume-title":"Continuous-Time Markov Decision Processes: Theory and Applications","year":"2009","key":"S0021900200011918_ref15"},{"key":"S0021900200011918_ref9","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2012.07.051"},{"key":"S0021900200011918_ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2002.808469"},{"key":"S0021900200011918_ref8","doi-asserted-by":"publisher","DOI":"10.1287\/moor.1120.0555"},{"key":"S0021900200011918_ref13","doi-asserted-by":"publisher","DOI":"10.1287\/moor.1060.0210"},{"key":"S0021900200011918_ref7","doi-asserted-by":"publisher","DOI":"10.1287\/moor.1070.0269"},{"volume-title":"The Theory of Stochastic Processes. II","year":"1975","key":"S0021900200011918_ref12"},{"first-page":"77","volume-title":"Optimization, Control, and Applications of Stochastic Systems","year":"2012","key":"S0021900200011918_ref6"},{"key":"S0021900200011918_ref11","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2013.09.043"},{"key":"S0021900200011918_ref5","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2012.05.073"},{"key":"S0021900200011918_ref4","doi-asserted-by":"publisher","DOI":"10.1007\/s00245-009-9080-2"},{"key":"S0021900200011918_ref3","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(91)90060-R"},{"volume-title":"Stochastic Optimal Control","year":"1978","key":"S0021900200011918_ref2"},{"volume-title":"Fundamentals of Real Analysis","year":"1999","key":"S0021900200011918_ref1"},{"key":"S0021900200011918_ref29","doi-asserted-by":"publisher","DOI":"10.1137\/1125049"},{"key":"S0021900200011918_ref28","doi-asserted-by":"publisher","DOI":"10.1137\/1130036"},{"volume-title":"Controlled Queueing Systems","year":"1995","key":"S0021900200011918_ref27"},{"key":"S0021900200011918_ref26","doi-asserted-by":"publisher","DOI":"10.1016\/j.orl.2005.11.005"},{"key":"S0021900200011918_ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2005.04.065"},{"key":"S0021900200011918_ref24","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-008-9491-2"},{"key":"S0021900200011918_ref23","doi-asserted-by":"publisher","DOI":"10.1155\/S1048953300000150"},{"volume-title":"Discrete-Time Markov Control Processes","year":"1996","key":"S0021900200011918_ref22"},{"key":"S0021900200011918_ref21","doi-asserted-by":"publisher","DOI":"10.1137\/100805169"},{"volume-title":"Markov Decision Processes: Discrete Stochastic Dynamic Programming","year":"1994","key":"S0021900200011918_ref33"}],"container-title":["Journal of Applied Probability"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0021900200011918","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,4,21]],"date-time":"2017-04-21T23:28:26Z","timestamp":1492817306000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0021900200011918\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,12]]},"references-count":32,"journal-issue":{"issue":"04","published-print":{"date-parts":[[2014,12]]}},"alternative-id":["S0021900200011918"],"URL":"https:\/\/doi.org\/10.1017\/s0021900200011918","relation":{},"ISSN":["0021-9002","1475-6072"],"issn-type":[{"type":"print","value":"0021-9002"},{"type":"electronic","value":"1475-6072"}],"subject":[],"published":{"date-parts":[[2014,12]]}}}