{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T14:35:17Z","timestamp":1776782117106,"version":"3.51.2"},"reference-count":23,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[2001,1,1]],"date-time":"2001-01-01T00:00:00Z","timestamp":978307200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Performance Evaluation"],"published-print":{"date-parts":[[2001,1]]},"DOI":"10.1016\/s0166-5316(00)00022-5","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T14:44:02Z","timestamp":1027608242000},"page":"1-14","source":"Crossref","is-referenced-by-count":6,"title":["Transient solution of a link with finite capacity supporting multiple streams"],"prefix":"10.1016","volume":"43","author":[{"given":"P.R.","family":"Parthasarathy","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"Dharmaraja","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0166-5316(00)00022-5_BIB1","unstructured":"F. Baccelli, W.A. Massey, On the busy period of certain classes of queueing networks, in: G. Lazeolla, P.L. Courtois, O.J. Boxma (Eds.), Computer Performance and Reliability, Elsevier, Amsterdam, 1988."},{"key":"10.1016\/S0166-5316(00)00022-5_BIB2","unstructured":"D. Bertsekas, R. Gallager, Data Networks, 2nd ed., Prentice-Hall, New Delhi, 1994."},{"key":"10.1016\/S0166-5316(00)00022-5_BIB3","unstructured":"O.J. Boxma, R. Syski (Eds.), Queueing Theory and Its Applications, North-Holland, Amsterdam, 1988."},{"key":"10.1016\/S0166-5316(00)00022-5_BIB4","doi-asserted-by":"crossref","first-page":"585","DOI":"10.1109\/90.469948","article-title":"An inversion algorithm to compute blocking probabilities in loss networks with state-dependent rates","volume":"3","author":"Choudhury","year":"1995","journal-title":"IEEE\/ACM Trans. Networking"},{"issue":"4","key":"10.1016\/S0166-5316(00)00022-5_BIB5","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1145\/103085.103090","article-title":"A video compression standard for multimedia applications","volume":"34","author":"Gall","year":"1991","journal-title":"Comm. ACM"},{"key":"10.1016\/S0166-5316(00)00022-5_BIB6","unstructured":"E. Gelenbe, G. Pujolle, Introduction to Queueing Networks, Wiley, Chichester, UK, 1987."},{"key":"10.1016\/S0166-5316(00)00022-5_BIB7","unstructured":"M.G. Kendall, A. Stuart, The Advanced Theory of Statistics, 2nd ed., Charler Griffen, London, 1976."},{"key":"10.1016\/S0166-5316(00)00022-5_BIB8","unstructured":"L. Kleienrock, Queueing System: Computer Applications, Vol. II, Wiley, New York, 1976."},{"key":"10.1016\/S0166-5316(00)00022-5_BIB9","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/0166-5316(93)90003-D","article-title":"Transient behavior for some Jackson networks","volume":"17","author":"Lebah","year":"1993","journal-title":"Perform. Eval."},{"key":"10.1016\/S0166-5316(00)00022-5_BIB10","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/0166-5316(92)90067-Q","article-title":"Transient analysis of multi-server queues with Markov-modulated Poisson arrivals and overload control","volume":"16","author":"Lee","year":"1992","journal-title":"Perform. Eval."},{"key":"10.1016\/S0166-5316(00)00022-5_BIB11","doi-asserted-by":"crossref","unstructured":"D. Logothetis, K. Trivedi, Transient analysis of the leaky bucket rate control scheme under Poisson and on\u2013off sources, in: IEEE Proceedings of the Infocom \u201994, 1994.","DOI":"10.1109\/INFCOM.1994.337694"},{"key":"10.1016\/S0166-5316(00)00022-5_BIB12","first-page":"1","article-title":"On the numerical solution of transient probabilities of a state-dependent multiserver queue","volume":"61","author":"Parthasarathy","year":"1997","journal-title":"Int. J. Comput. Math."},{"key":"10.1016\/S0166-5316(00)00022-5_BIB13","doi-asserted-by":"crossref","first-page":"584","DOI":"10.2307\/3214415","article-title":"Transient solution to many server Poisson queue \u2014 a simple approach","volume":"26","author":"Parthasarathy","year":"1989","journal-title":"J. Appl. Probab."},{"key":"10.1016\/S0166-5316(00)00022-5_BIB14","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1007\/BF01149265","article-title":"Transient solution of an M\/M\/1 queue with balking","volume":"13","author":"Parthasarathy","year":"1993","journal-title":"Queueing Systems Theory Appl."},{"key":"10.1016\/S0166-5316(00)00022-5_BIB15","first-page":"207","article-title":"Transient solution of a state-dependent many server Poisson queue with balking","volume":"2","author":"Parthasarathy","year":"1995","journal-title":"J. Appl. Statist. Sci."},{"key":"10.1016\/S0166-5316(00)00022-5_BIB16","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1051\/ro\/1993270403891","article-title":"Exact transient expectations for queueing networks","volume":"4","author":"Pellaumail","year":"1993","journal-title":"Oper. Res."},{"key":"10.1016\/S0166-5316(00)00022-5_BIB17","unstructured":"J. Riordan, Stochastic Service Systems, Wiley, New York, 1962."},{"key":"10.1016\/S0166-5316(00)00022-5_BIB18","unstructured":"L. Sachs, Applied Statistics \u2014 A Handbook of Techniques, 2nd ed., Springer, New York, 1978."},{"key":"10.1016\/S0166-5316(00)00022-5_BIB19","doi-asserted-by":"crossref","unstructured":"S.Q. Li, A general solution technique for discrete queueing analysis of multimedia traffic on ATM, IEEE Trans. Commun. 39 (7) (1991) 1115\u20131132.","DOI":"10.1109\/26.87217"},{"key":"10.1016\/S0166-5316(00)00022-5_BIB20","unstructured":"H.M. Srivastava, B.R.K. Kashyap, Special Functions in Queueing Theory and Related Stochastic Processes, Academic Press, New York, 1982."},{"key":"10.1016\/S0166-5316(00)00022-5_BIB21","unstructured":"H. Takagi, Stochastic Analysis of Computer and Communication Systems: Finite Systems, Vol. II, North-Holland, Amsterdam, 1993."},{"key":"10.1016\/S0166-5316(00)00022-5_BIB22","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1287\/mnsc.29.4.395","article-title":"Untold horrors of the waiting room: what the equilibrium distribution will never tell about the queue-length process","volume":"29","author":"Whitt","year":"1983","journal-title":"Mgmt. Sci."},{"key":"10.1016\/S0166-5316(00)00022-5_BIB23","unstructured":"J.H. Wilkinson, The Algebraic Eigenvalue Problem, Prentice-Hall, New York, 1965."}],"container-title":["Performance Evaluation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0166531600000225?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0166531600000225?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,28]],"date-time":"2019-04-28T01:26:17Z","timestamp":1556414777000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0166531600000225"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,1]]},"references-count":23,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2001,1]]}},"alternative-id":["S0166531600000225"],"URL":"https:\/\/doi.org\/10.1016\/s0166-5316(00)00022-5","relation":{},"ISSN":["0166-5316"],"issn-type":[{"value":"0166-5316","type":"print"}],"subject":[],"published":{"date-parts":[[2001,1]]}}}