{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,15]],"date-time":"2025-08-15T00:23:51Z","timestamp":1755217431567,"version":"3.43.0"},"reference-count":10,"publisher":"Springer Science and Business Media LLC","issue":"3-4","license":[{"start":{"date-parts":[[1999,7,1]],"date-time":"1999-07-01T00:00:00Z","timestamp":930787200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[1999,7,1]],"date-time":"1999-07-01T00:00:00Z","timestamp":930787200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Queueing Systems"],"published-print":{"date-parts":[[1999,7]]},"DOI":"10.1023\/a:1019170500574","type":"journal-article","created":{"date-parts":[[2003,2,19]],"date-time":"2003-02-19T18:30:27Z","timestamp":1045679427000},"page":"317-326","source":"Crossref","is-referenced-by-count":22,"title":["Loss probability in a finite discrete-time queue in terms of the steady state distribution of an infinite queue"],"prefix":"10.1007","volume":"31","author":[{"given":"Fumio","family":"Ishizaki","sequence":"first","affiliation":[]},{"given":"Tetsuya","family":"Takine","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"329552_CR1","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1080\/15326349408807290","volume":"10","author":"J. Abate","year":"1994","unstructured":"J. Abate, G.L. Choudhury and W. Whitt, Asymptotics for steady-state tail probabilities in structured Markov chains of M\/G\/1-type, Stochastic Mod. 10 (1994) 99\u2013144.","journal-title":"Stochastic Mod."},{"key":"329552_CR2","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1080\/15326349408807289","volume":"10","author":"E. Falkenberg","year":"1994","unstructured":"E. Falkenberg, On the asymptotic behavior of the stationary distribution of Markov chains of M\/G\/1\u2013type, Stochastic Mod. 10 (1994) 75\u201398.","journal-title":"Stochastic Mod."},{"key":"329552_CR3","unstructured":"F. Ishizaki, T. Takine, H. Terada and T. Hasegawa, Loss probability approximation of a statistical multiplexer and its application to call admission control in high-speed networks, Technical Report ISE-TR-94\u2013009, Dept. of Inform. Syst. Eng., Osaka University (1994)."},{"key":"329552_CR4","doi-asserted-by":"crossref","unstructured":"F. Ishizaki, T. Takine, H. Terada and T. Hasegawa, Loss probability approximation of a statistical multiplexer and its application to call admission control in high-speed networks, in: GLOBECOM '95 (1995) pp. 417\u2013421.","DOI":"10.1109\/GLOCOM.1995.501961"},{"key":"329552_CR5","doi-asserted-by":"crossref","unstructured":"F. Ishizaki and T. Takine, Bounds for the tail distribution in a queue with the superposition of general periodic Markov sources, in: INFOCOM '97 (1997) pp. 1088\u20131095.","DOI":"10.1109\/INFCOM.1997.631128"},{"key":"329552_CR6","unstructured":"F. Ishizaki and T. Takine, Cell loss probability approximations and their application to call admission control, submitted for publication (1998)."},{"key":"329552_CR7","volume-title":"Structured Stochastic Matrices of M\/G\/1 Type and Their Applications","author":"M.F. Neuts","year":"1989","unstructured":"M.F. Neuts, Structured Stochastic Matrices of M\/G\/1 Type and Their Applications (Marcel Dekker, New York, 1989)."},{"key":"329552_CR8","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1080\/15326348808807077","volume":"4","author":"V. Ramaswami","year":"1988","unstructured":"V. Ramaswami, A stable recursion for steady state vector in Markov chains of M\/G\/1 type, Stochastic Mod. 4 (1988) 183\u2013188.","journal-title":"Stochastic Mod."},{"key":"329552_CR9","doi-asserted-by":"crossref","unstructured":"V. Ramaswami and J.L. Wang, A discrete time queueing analysis of ATM systems with heterogeneous traffic sources, in: GLOBECOM '96 (1996) pp. 623\u2013628.","DOI":"10.1109\/GLOCOM.1996.594437"},{"key":"329552_CR10","doi-asserted-by":"publisher","first-page":"1022","DOI":"10.1109\/26.380134","volume":"43","author":"T. Takine","year":"1995","unstructured":"T. Takine, T. Suda and T. Hasegawa, Cell loss and output process analyses of a finite-buffer discretetime ATM queueing system with correlated arrivals, IEEE Trans. Commun. 43 (1995) 1022\u20131036.","journal-title":"IEEE Trans. Commun."}],"container-title":["Queueing Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1019170500574.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1019170500574\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1019170500574.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,5]],"date-time":"2025-08-05T12:56:36Z","timestamp":1754398596000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1019170500574"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,7]]},"references-count":10,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[1999,7]]}},"alternative-id":["329552"],"URL":"https:\/\/doi.org\/10.1023\/a:1019170500574","relation":{},"ISSN":["0257-0130","1572-9443"],"issn-type":[{"type":"print","value":"0257-0130"},{"type":"electronic","value":"1572-9443"}],"subject":[],"published":{"date-parts":[[1999,7]]}}}