{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T10:21:42Z","timestamp":1773656502768,"version":"3.50.1"},"publisher-location":"Berlin, Heidelberg","reference-count":23,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783642388644","type":"print"},{"value":"9783642388651","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-38865-1_42","type":"book-chapter","created":{"date-parts":[[2013,5,27]],"date-time":"2013-05-27T01:42:02Z","timestamp":1369618922000},"page":"416-425","source":"Crossref","is-referenced-by-count":13,"title":["Tandem Queueing System with Correlated Input and Cross-Traffic"],"prefix":"10.1007","author":[{"given":"Valentina","family":"Klimenok","sequence":"first","affiliation":[]},{"given":"Alexander","family":"Dudin","sequence":"additional","affiliation":[]},{"given":"Vladimir","family":"Vishnevsky","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"42_CR1","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1016\/S0166-5316(02)00099-8","volume":"51","author":"S. Balsamo","year":"2003","unstructured":"Balsamo, S., Persone, V.D.N., Inverardi, P.: A review on queueing network models with finite capacity queues for software architectures performance prediction. Performance Evaluation\u00a051, 269\u2013288 (2003)","journal-title":"Performance Evaluation"},{"key":"42_CR2","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1016\/S0166-5316(00)00058-4","volume":"44","author":"A. Heindl","year":"2001","unstructured":"Heindl, A.: Decomposition of general tandem networks with MMPP input. Performance Evaluation\u00a044, 5\u201323 (2001)","journal-title":"Performance Evaluation"},{"key":"42_CR3","volume-title":"Handbuch der Bedienungstheorie","author":"B.W. Gnedenko","year":"1983","unstructured":"Gnedenko, B.W., Konig, D.: Handbuch der Bedienungstheorie. Akademie Verlag, Berlin (1983)"},{"key":"42_CR4","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1016\/0166-5316(89)90015-1","volume":"10","author":"H.G. Perros","year":"1989","unstructured":"Perros, H.G.: A bibliography of papers on queueing networks with finite capacity queues. Performance Evaluation\u00a010, 255\u2013260 (1989)","journal-title":"Performance Evaluation"},{"key":"42_CR5","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1023\/B:AURC.0000011694.78809.a0","volume":"65","author":"L. Breuer","year":"2004","unstructured":"Breuer, L., Dudin, A.N., Klimenok, V.I., Tsarenkov, G.V.: A two-phase BMAP\/G\/1\/N\u2009\u2192\u2009PH\/1\/M\u2009\u2212\u20091 system with blocking. Automation and Remote Control\u00a065, 117\u2013130 (2004)","journal-title":"Automation and Remote Control"},{"key":"42_CR6","doi-asserted-by":"publisher","first-page":"343","DOI":"10.1023\/A:1016235415066","volume":"41","author":"A. Gomez-Corral","year":"2002","unstructured":"Gomez-Corral, A.: A tandem queue with blocking and Markovian arrival process. Queueing Systems\u00a041, 343\u2013370 (2002)","journal-title":"Queueing Systems"},{"key":"42_CR7","doi-asserted-by":"publisher","first-page":"626","DOI":"10.1239\/aap\/1033662169","volume":"34","author":"A. Gomez-Corral","year":"2002","unstructured":"Gomez-Corral, A.: On a tandem G-network with blocking. Advances in Applied Probability\u00a034, 626\u2013661 (2002)","journal-title":"Advances in Applied Probability"},{"key":"42_CR8","doi-asserted-by":"publisher","first-page":"910","DOI":"10.1016\/j.peva.2005.10.002","volume":"63","author":"A. Gomez-Corral","year":"2006","unstructured":"Gomez-Corral, A., Martos, M.E.: Performance of two-station tandem queues with blocking: The impact of several flows of signals. Performance Evaluation\u00a063, 910\u2013938 (2006)","journal-title":"Performance Evaluation"},{"key":"42_CR9","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1016\/j.peva.2004.09.001","volume":"61","author":"V.I. Klimenok","year":"2005","unstructured":"Klimenok, V.I., Breuer, L., Tsarenkov, G.V., Dudin, A.N.: The BMAP\/G\/1\/N\u2009\u2192\u2009\u00b7PH\/1\/M\u2009\u2212\u20091 tandem queue with losses. Performance Evaluation\u00a061, 17\u201340 (2005)","journal-title":"Performance Evaluation"},{"key":"42_CR10","doi-asserted-by":"publisher","first-page":"802","DOI":"10.1016\/j.peva.2007.01.002","volume":"64","author":"V. Klimenok","year":"2007","unstructured":"Klimenok, V., Kim, C.S., Tsarenkov, G.V., Breuer, L., Dudin, A.N.: The BMAP\/G\/1\u2009\u2192\u2009\u00b7\/PH\/1\/M tandem queue with feedback and losses. Performance Evaluation\u00a064, 802\u2013818 (2007)","journal-title":"Performance Evaluation"},{"key":"42_CR11","doi-asserted-by":"publisher","first-page":"1238","DOI":"10.1016\/j.cor.2009.03.030","volume":"37","author":"C.S. Kim","year":"2010","unstructured":"Kim, C.S., Klimenok, V., Taramin, O.: A tandem retrial queueing system with two Markovian flows and reservation of channels. Computers and Operations Research\u00a037, 1238\u20131246 (2010)","journal-title":"Computers and Operations Research"},{"key":"42_CR12","doi-asserted-by":"publisher","first-page":"2926","DOI":"10.1016\/j.apm.2010.01.003","volume":"34","author":"C.S. Kim","year":"2010","unstructured":"Kim, C.S., Park, S.H., Dudin, A., Klimenok, V., Tsarenkov, G.: Investigaton of the BMAP\/G\/1\u2009\u2192\u2009\u00b7\/PH\/1\/M tandem queue with retrials and losses. Applied Mathematical Modelling\u00a034, 2926\u20132940 (2010)","journal-title":"Applied Mathematical Modelling"},{"key":"42_CR13","unstructured":"Kim, C.S., Klimenok, V.I., Taramin, O.S., Dudin, A.N.: Tandem MAP\/G\/1\u2009\u2192\u2009\u00b7\/M\/N\/0 queue with heterogeneous customers. Mathematical Problems in Engineering. Article ID 324604, 26 (2012), doi:10.1155\/2012"},{"key":"42_CR14","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1016\/j.cie.2011.03.003","volume":"60","author":"C.S. Kim","year":"2011","unstructured":"Kim, C.S., Dudin, S.: Priority tandem queueing model with admission control. Computers and Industrial Engineering\u00a060, 131\u2013140 (2011)","journal-title":"Computers and Industrial Engineering"},{"key":"42_CR15","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1080\/15326349108807174","volume":"7","author":"D.M. Lucantoni","year":"1991","unstructured":"Lucantoni, D.M.: New results on the single server queue with a batch Markovian arrival process. Communications in Statistics-Stochastic Models\u00a07, 1\u201346 (1991)","journal-title":"Communications in Statistics-Stochastic Models"},{"key":"42_CR16","first-page":"21","volume-title":"Advances in Probability Theory and Stochastic Processes","author":"S.R. Chakravarthy","year":"2001","unstructured":"Chakravarthy, S.R.: The batch Markovian arrival process: a review and future work. In: Krishnamoorthy, A., et al. (eds.) Advances in Probability Theory and Stochastic Processes, pp. 21\u201349. Notable Publications, NJ (2001)"},{"key":"42_CR17","series-title":"CCIS","doi-asserted-by":"publisher","first-page":"383","DOI":"10.1007\/978-3-642-31217-5_40","volume-title":"Computer Networks","author":"V. Klimenok","year":"2012","unstructured":"Klimenok, V., Dudin, A., Vishnevsky, V.: On the stationary distribution of tandem queue consisting of a finite number of stations. In: Kwiecie\u0144, A., Gaj, P., Stera, P. (eds.) CN 2012. CCIS, vol.\u00a0291, pp. 383\u2013392. Springer, Heidelberg (2012)"},{"key":"42_CR18","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1007\/s11134-005-6481-z","volume":"49","author":"V. Klimenok","year":"2005","unstructured":"Klimenok, V., Kim, C.S., Orlovsky, D., Dudin, A.: Lack of invariant property of Erlang loss model in case of the MAP input. Queueing Systems\u00a049, 187\u2013213 (2005)","journal-title":"Queueing Systems"},{"key":"42_CR19","volume-title":"Probability theory and random processes","author":"A. Skorokhod","year":"1980","unstructured":"Skorokhod, A.: Probability theory and random processes. High School, Kiev (1980)"},{"key":"42_CR20","volume-title":"Matrix-geometric Solutions in Stochastic Models \u2013 An Algorithmic Approach","author":"M. Neuts","year":"1981","unstructured":"Neuts, M.: Matrix-geometric Solutions in Stochastic Models \u2013 An Algorithmic Approach. Johns Hopkins University Press, USA (1981)"},{"key":"42_CR21","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1023\/A:1019165221472","volume":"34","author":"A.S. Alfa","year":"2000","unstructured":"Alfa, A.S., Diamond, J.E.: On approximating higher order MAPs with MAPs of order two. Queueing Systems\u00a034, 269\u2013288 (2000)","journal-title":"Queueing Systems"},{"key":"42_CR22","doi-asserted-by":"publisher","first-page":"553","DOI":"10.1016\/j.peva.2005.06.003","volume":"63","author":"A. Heindl","year":"2006","unstructured":"Heindl, A., Mitchell, K., van de Liefvoort, A.: Correlation bounds for second order MAPs with application to queueing network decomposition. Performance Evaluation\u00a063, 553\u2013577 (2006)","journal-title":"Performance Evaluation"},{"key":"42_CR23","doi-asserted-by":"publisher","first-page":"321","DOI":"10.1016\/S0166-5316(02)00124-4","volume":"49","author":"A. Heindl","year":"2002","unstructured":"Heindl, A., Telek, M.: Output models of MAP\/PH\/1(\/K) queues for an efficient network decomposition. Performance Evaluation\u00a049, 321\u2013339 (2002)","journal-title":"Performance Evaluation"}],"container-title":["Communications in Computer and Information Science","Computer Networks"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-38865-1_42","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,13]],"date-time":"2019-05-13T07:34:35Z","timestamp":1557732875000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-38865-1_42"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642388644","9783642388651"],"references-count":23,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-38865-1_42","relation":{},"ISSN":["1865-0929","1865-0937"],"issn-type":[{"value":"1865-0929","type":"print"},{"value":"1865-0937","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013]]}}}