{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T09:18:05Z","timestamp":1771665485019,"version":"3.50.1"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2020,6,27]],"date-time":"2020-06-27T00:00:00Z","timestamp":1593216000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,6,27]],"date-time":"2020-06-27T00:00:00Z","timestamp":1593216000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100010198","name":"Ministerio de Econom\u00eda, Industria y Competitividad, Gobierno de Espa\u00f1a","doi-asserted-by":"publisher","award":["MTM2016-75497-P"],"award-info":[{"award-number":["MTM2016-75497-P"]}],"id":[{"id":"10.13039\/501100010198","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Math Meth Oper Res"],"published-print":{"date-parts":[[2020,10]]},"DOI":"10.1007\/s00186-020-00716-8","type":"journal-article","created":{"date-parts":[[2020,6,27]],"date-time":"2020-06-27T04:23:58Z","timestamp":1593231838000},"page":"377-399","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Discrete-time control with non-constant discount factor"],"prefix":"10.1007","volume":"92","author":[{"given":"H\u00e9ctor","family":"Jasso-Fuentes","sequence":"first","affiliation":[]},{"given":"Jos\u00e9-Luis","family":"Menaldi","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4677-4725","authenticated-orcid":false,"given":"Tom\u00e1s","family":"Prieto-Rumeau","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,6,27]]},"reference":[{"key":"716_CR1","volume-title":"Infinite dimensional analysis","author":"CD Aliprantis","year":"2006","unstructured":"Aliprantis CD, Border KC (2006) Infinite dimensional analysis. Springer, New York"},{"key":"716_CR2","volume-title":"Dynamic programming and inventory control","author":"A Bensoussan","year":"2011","unstructured":"Bensoussan A (2011) Dynamic programming and inventory control. IOS Press, Amsterdam"},{"key":"716_CR3","volume-title":"Applications of variational inequalities in stochastic control","author":"A Bensoussan","year":"1982","unstructured":"Bensoussan A, Lions JL (1982) Applications of variational inequalities in stochastic control. North-Holland, Amsterdam"},{"key":"716_CR4","volume-title":"Dynamic programming and stochastic control","author":"DP Bertsekas","year":"1976","unstructured":"Bertsekas DP (1976) Dynamic programming and stochastic control. Academic Press, New York"},{"key":"716_CR5","doi-asserted-by":"publisher","first-page":"947","DOI":"10.1017\/S0021900200007282","volume":"47","author":"F Dufour","year":"2010","unstructured":"Dufour F, Piunovskiy A (2010) Multiobjective stopping problem for discrete-time Markov processes: conves analytic approach. J Appl Prob 47:947\u2013966","journal-title":"J Appl Prob"},{"key":"716_CR6","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0729-0","volume-title":"Discrete-time Markov control processes: basic optimality criteria","author":"O Hern\u00e1ndez-Lerma","year":"1996","unstructured":"Hern\u00e1ndez-Lerma O, Lasserre JB (1996) Discrete-time Markov control processes: basic optimality criteria. Springer, New York"},{"key":"716_CR7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0561-6","volume-title":"Further topics on discrete-time Markov control processes","author":"O Hern\u00e1ndez-Lerma","year":"1999","unstructured":"Hern\u00e1ndez-Lerma O, Lasserre JB (1999) Further topics on discrete-time Markov control processes. Springer, New York"},{"key":"716_CR8","volume-title":"Dynamic optimization","author":"K Hinderer","year":"2010","unstructured":"Hinderer K, Rieder U, Stieglitz M (2010) Dynamic optimization. Springer, New York"},{"key":"716_CR9","doi-asserted-by":"publisher","first-page":"279","DOI":"10.1007\/PL00003996","volume":"53","author":"M Horiguchi","year":"2001","unstructured":"Horiguchi M (2001a) Stopped Markov decision processes with a stopping time constraint. Math Methods Oper Res 53:279\u2013295","journal-title":"Math Methods Oper Res"},{"key":"716_CR10","doi-asserted-by":"publisher","first-page":"455","DOI":"10.1007\/s001860100160","volume":"54","author":"M Horiguchi","year":"2001","unstructured":"Horiguchi M (2001b) Stopped Markov decision processes with multiple constraints. Math Methods Oper Res 54:455\u2013469","journal-title":"Math Methods Oper Res"},{"key":"716_CR11","first-page":"82","volume":"53","author":"R Ilhuicatzi-Rold\u00e1n","year":"2017","unstructured":"Ilhuicatzi-Rold\u00e1n R, Cruz-Su\u00e1rez H, Ch\u00e1vez-Rodr\u00edguez S (2017) Markov decision processes with time-varying discount factors and random horizon. Kybernetica 53:82\u201398","journal-title":"Kybernetica"},{"key":"716_CR12","first-page":"897","volume":"88","author":"H Jasso-Fuentes","year":"2015","unstructured":"Jasso-Fuentes H, L\u00f3pez-Barrientos JD (2015) On the use of stochastic differential games against nature to ergodic control problems with unknown parameters. Int J Control 88:897\u2013909","journal-title":"Int J Control"},{"key":"716_CR13","volume-title":"Advanced criteria for controlled Markov-modulated diffusions in an infinite horizon: overtaking, bias, and Blackwell optimality","author":"H Jasso-Fuentes","year":"2013","unstructured":"Jasso-Fuentes H, Yin G (2013) Advanced criteria for controlled Markov-modulated diffusions in an infinite horizon: overtaking, bias, and Blackwell optimality. Science Press, Beijing"},{"key":"716_CR14","doi-asserted-by":"publisher","first-page":"1695","DOI":"10.1016\/j.jmaa.2018.03.007","volume":"462","author":"H Jasso-Fuentes","year":"2018","unstructured":"Jasso-Fuentes H, Menaldi JL, Prieto-Rumeau T, Robin M (2018) Discrete-time hybrid control in Borel spaces: average cost optimality criterion. J Math Anal Appl 462:1695\u20131713","journal-title":"J Math Anal Appl"},{"key":"716_CR15","doi-asserted-by":"publisher","first-page":"409","DOI":"10.1007\/s00245-018-9503-z","volume":"81","author":"H Jasso-Fuentes","year":"2020","unstructured":"Jasso-Fuentes H, Menaldi JL, Prieto-Rumeau T (2020) Discrete-time hybrid control in Borel spaces. Appl Math Optim 81:409\u2013441","journal-title":"Appl Math Optim"},{"key":"716_CR16","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-4015-8","volume-title":"Foundations of modern probability","author":"O Kallenberg","year":"2002","unstructured":"Kallenberg O (2002) Foundations of modern probability. Springer, New York"},{"key":"716_CR17","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1137\/0322009","volume":"22","author":"JL Menaldi","year":"1984","unstructured":"Menaldi JL, Blankenship GL (1984) Optimal stochastic scheduling of power generation systems with scheduling delays and large cost differentials. SIAM J Control Optim 22:121\u2013132","journal-title":"SIAM J Control Optim"},{"key":"716_CR18","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511626630","volume-title":"Markov chains and Stochastic stability","author":"S Meyn","year":"2009","unstructured":"Meyn S, Tweedie RL (2009) Markov chains and Stochastic stability. Cambridge University Press, Cambridge"},{"key":"716_CR19","doi-asserted-by":"publisher","first-page":"743","DOI":"10.1007\/s11750-015-0360-5","volume":"23","author":"A Minj\u00e1rez-Sosa","year":"2015","unstructured":"Minj\u00e1rez-Sosa A (2015) Markov control models with unknown random state-action-dependent discount factors. TOP 23:743\u2013772","journal-title":"TOP"},{"key":"716_CR20","series-title":"Encyclopedia of mathematics and its applications","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139087353","volume-title":"Stochastic control and mathematical modeling","author":"H Morimoto","year":"2010","unstructured":"Morimoto H (2010) Stochastic control and mathematical modeling. Encyclopedia of mathematics and its applications. Cambridge University Press, New York"},{"key":"716_CR21","doi-asserted-by":"publisher","DOI":"10.1002\/9780470316887","volume-title":"Markov decision processes: discrete stochastic dynamic programming","author":"ML Puterman","year":"1994","unstructured":"Puterman ML (1994) Markov decision processes: discrete stochastic dynamic programming. Wiley, New York"},{"key":"716_CR22","doi-asserted-by":"publisher","first-page":"365","DOI":"10.1016\/0304-4149(75)90032-0","volume":"3","author":"U Rieder","year":"1975","unstructured":"Rieder U (1975) On stopped decision processes with discrete time parameter. Stoch Process Appl 3:365\u2013383","journal-title":"Stoch Process Appl"},{"key":"716_CR23","volume-title":"Introduction to stochastic dynamic programming","author":"SM Ross","year":"1983","unstructured":"Ross SM (1983) Introduction to stochastic dynamic programming. Academic Press, New York"},{"key":"716_CR24","first-page":"369","volume":"39","author":"Q Wei","year":"2011","unstructured":"Wei Q, Guo XP (2011) Markov decision processes with state-dependent discount factors and unbounded rewards\/costs. Oper Res Lett 39:369\u2013374","journal-title":"Oper Res Lett"}],"container-title":["Mathematical Methods of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00186-020-00716-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00186-020-00716-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00186-020-00716-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,6,26]],"date-time":"2021-06-26T23:10:18Z","timestamp":1624749018000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00186-020-00716-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6,27]]},"references-count":24,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2020,10]]}},"alternative-id":["716"],"URL":"https:\/\/doi.org\/10.1007\/s00186-020-00716-8","relation":{},"ISSN":["1432-2994","1432-5217"],"issn-type":[{"value":"1432-2994","type":"print"},{"value":"1432-5217","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,6,27]]},"assertion":[{"value":"12 December 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 March 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 June 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}