{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T10:21:47Z","timestamp":1773656507792,"version":"3.50.1"},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2006,1,1]],"date-time":"2006-01-01T00:00:00Z","timestamp":1136073600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ann Oper Res"],"published-print":{"date-parts":[[2006,1]]},"DOI":"10.1007\/s10479-006-5299-3","type":"journal-article","created":{"date-parts":[[2006,1,30]],"date-time":"2006-01-30T09:07:39Z","timestamp":1138612059000},"page":"193-210","source":"Crossref","is-referenced-by-count":14,"title":["Optimal multi-threshold control by the BMAP\/SM\/1 retrial system"],"prefix":"10.1007","volume":"141","author":[{"given":"Che Soong","family":"Kim","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Valentina","family":"Klimenok","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexander","family":"Birukov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexander","family":"Dudin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"5299_CR1","doi-asserted-by":"crossref","first-page":"223","DOI":"10.2307\/3215189","volume":"34","author":"J.R. Artalejo","year":"1997","unstructured":"Artalejo J.R. and Gomez-Corral A. (1997). \u201cSteady State Solution of a Single-Server Queue with Linear Repeated Requests.\u201d Journal of Applied Probability 34, 223\u2013233.","journal-title":"Journal of Applied Probability"},{"key":"5299_CR2","doi-asserted-by":"crossref","first-page":"433","DOI":"10.1023\/A:1015041602946","volume":"40","author":"L. Breuer","year":"2002","unstructured":"Breuer L., Dudin A.N. and Klimenok V.I. (2002). \u201cA retrial BMAP|PH|N system.\u201d Queueing Systems 40, 433\u2013457.","journal-title":"Queueing Systems"},{"key":"5299_CR3","unstructured":"Chakravarthy S.R. (2001). \u201cThe batch Markovian arrival process: A review and future work.\u201d in: Advances in Probability Theory and Stochastic Processes, eds. A. Krishnamoorthy, et al.(Notable Publications) pp. 21\u201339."},{"key":"5299_CR4","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1016\/S0377-2217(99)00440-3","volume":"131","author":"B.D. Choi","year":"2001","unstructured":"Choi B.D., Chung Y.H., Dudin A.N. (2001). \u201cThe BMAP|SM|1 retrial queue with controllable operation modes.\u201d European Journal of Operational Research 131, 16\u201330.","journal-title":"European Journal of Operational Research"},{"key":"5299_CR5","unstructured":"Cinlar E. (1975). Introduction to Stochastic Processes (Prentice-Hall)."},{"key":"5299_CR6","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1023\/A:1020985106453","volume":"112","author":"A.N. Dudin","year":"2002","unstructured":"Dudin A.N. and Chakravarthy S.R. (2002). \u201cOptimal hysteretic control for the BMAP |G| 1 system with single and group service modes.\u201d Annals of Operations Research 112, 153\u2013169.","journal-title":"Annals of Operations Research"},{"key":"5299_CR7","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1155\/S1048953399000337","volume":"12","author":"A.N. Dudin","year":"1999","unstructured":"Dudin A.N. and Klimenok V.I. (1999). \u201cMulti-dimensional quasitoeplitz Markov chains.\u201d Journal of Applied Mathematics and Stochastic Analysis 12, 393\u2013415.","journal-title":"Journal of Applied Mathematics and Stochastic Analysis"},{"key":"5299_CR8","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1023\/A:1019196701000","volume":"34","author":"A.N. Dudin","year":"2000","unstructured":"Dudin A.N. and Klimenok V.I. (2000). \u201cA retrial BMAP\/SM\/1 system with linear repeated requests.\u201d Queueing Systems 34, 47\u201366.","journal-title":"Queueing Systems"},{"key":"5299_CR9","first-page":"115","volume-title":"Advances in Matrix Analytic Methods for Stochastic Models","author":"A.N. Dudin","year":"2000","unstructured":"Dudin A.N., Klimenok V.I., Klimenok I.A., et al. (2000). \u201cSoftware \u201cSIRIUS+\u201d for evaluation and optimization of queues with the BMAP-input.\u201d in: Advances in Matrix Analytic Methods for Stochastic Models, eds. G. Latouche and P. Taylor (Notable Publications, Inc., New Jersey) pp. 115\u2013133."},{"key":"5299_CR10","unstructured":"Kemeni J., Shell J. and Knapp A. (1966). \u201cVan Nostrand, New York.\u201d Denumerable Markov chains."},{"key":"5299_CR11","first-page":"121","volume":"17","author":"V.I. Klimenok","year":"2003","unstructured":"Klimenok V.I. and Dudin A.N. (2003). \u201cApplication of censored Markov chains for calculating the stationary distribution of the multi-dimensional left-skip-free Markov chains.\u201d Queues: flows, systems, networks 17, 121\u2013128.","journal-title":"Queues: flows, systems, networks"},{"key":"5299_CR12","unstructured":"Klimenok V.I. (2000). \u201cAbout stationary distribution existence conditions in queueing sytems with the MAP and retrials.\u201d Reports of Belarusian Academy of Science 39, 128\u2013132 (in Russian)."},{"key":"5299_CR13","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/15326349108807174","volume":"7","author":"D.M. Lucantoni","year":"1991","unstructured":"Lucantoni D.M. (1991). \u201cNew results on the single server queue with a batch markovian arrival process.\u201d Communications in Statistics-Stochastic Models 7, 1\u201346.","journal-title":"Communications in Statistics-Stochastic Models"},{"key":"5299_CR14","unstructured":"Neuts M.F. (1989). Structured Stochastic Matrices of M\/G\/1 type and their applications (Marcel Dekker)."},{"key":"5299_CR15","doi-asserted-by":"crossref","unstructured":"Tijms H.C. (1976). \u201cOn the optimality of a switch-over policy for controlling the queue size in an M\/G\/1 queue with variable service rate.\u201d Lecture Notes in Computer Sciences 40, 736\u2013742.","DOI":"10.1007\/3-540-07622-0_506"}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-006-5299-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10479-006-5299-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-006-5299-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T18:07:38Z","timestamp":1559153258000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10479-006-5299-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,1]]},"references-count":15,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2006,1]]}},"alternative-id":["5299"],"URL":"https:\/\/doi.org\/10.1007\/s10479-006-5299-3","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"value":"0254-5330","type":"print"},{"value":"1572-9338","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,1]]}}}