{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T12:52:17Z","timestamp":1648990337194},"reference-count":16,"publisher":"Elsevier BV","issue":"2-3","license":[{"start":{"date-parts":[[2001,2,1]],"date-time":"2001-02-01T00:00:00Z","timestamp":980985600000},"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":[[2001,2]]},"DOI":"10.1016\/s0166-5316(00)00050-x","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T18:25:10Z","timestamp":1027621510000},"page":"181-198","source":"Crossref","is-referenced-by-count":8,"title":["A large deviations approach to the transient of the Erlang loss model"],"prefix":"10.1016","volume":"43","author":[{"given":"Michel","family":"Mandjes","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ad","family":"Ridder","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0166-5316(00)00050-X_BIB1","doi-asserted-by":"crossref","first-page":"663","DOI":"10.1080\/15326349808807494","article-title":"Calculating transient characteristics of the Erlang loss model by numerical transform inversion","volume":"14","author":"Abate","year":"1998","journal-title":"Stochastic Mod."},{"key":"10.1016\/S0166-5316(00)00050-X_BIB2","doi-asserted-by":"crossref","unstructured":"V. Bene\u0161, The covariance function of a simple trunk group, with application to traffic measurement, Bell Syst. Tech. J. 40 (1961) 117\u2013148.","DOI":"10.1002\/j.1538-7305.1961.tb03979.x"},{"key":"10.1016\/S0166-5316(00)00050-X_BIB3","doi-asserted-by":"crossref","unstructured":"J. Cohen, On Regenerative Processes in Queueing Theory, Lecture Notes in Mathematical Economics and Mathematical Systems, Vol. 121, Springer, Berlin, 1976.","DOI":"10.1007\/978-3-642-95281-4"},{"key":"10.1016\/S0166-5316(00)00050-X_BIB4","unstructured":"I. Gelfand, S. Fomin, Calculus of Variations, Prentice-Hall, Englewood Cliffs, NJ, 1963."},{"key":"10.1016\/S0166-5316(00)00050-X_BIB5","unstructured":"F. Kelly, Reversibility and Stochastic Networks, Wiley, New York, 1980."},{"key":"10.1016\/S0166-5316(00)00050-X_BIB6","unstructured":"K. Kobayashi, Y. Takahashi, Overflow probability for a single-server queue with non-stationary multiplexed input, in: Proceedings of the 11th ITC Specialist Seminar, October 1998, Yokohama, Japan, pp. 215\u2013220."},{"key":"10.1016\/S0166-5316(00)00050-X_BIB7","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1023\/A:1019154129708","article-title":"Optimal trajectory to overflow in a queue fed by large number of sources","volume":"31","author":"Mandjes","year":"1999","journal-title":"Queueing Syst."},{"key":"10.1016\/S0166-5316(00)00050-X_BIB8","doi-asserted-by":"crossref","first-page":"577","DOI":"10.1080\/15326349908807551","article-title":"Rare event analysis of the state frequencies of a large number of Markov chains","volume":"15","author":"Mandjes","year":"1999","journal-title":"Stochastic Mod."},{"key":"10.1016\/S0166-5316(00)00050-X_BIB9","doi-asserted-by":"crossref","first-page":"1145","DOI":"10.1214\/aoap\/1177004908","article-title":"An analysis of the modified offered-load approximation for the nonstationary Erlang loss model","volume":"4","author":"Massey","year":"1994","journal-title":"Ann. Appl. Prob."},{"key":"10.1016\/S0166-5316(00)00050-X_BIB10","unstructured":"D. Mitra, A. Weiss, The transient behavior of Erlang\u2019s traffic model for large trunk groups and various traffic conditions, in: Proceedings of the ITC-12, 1988, pp. 1367\u20131374."},{"key":"10.1016\/S0166-5316(00)00050-X_BIB11","unstructured":"C. Palm, Analysis of the Erlang traffic formulae for busy signal arrangements, Ericsson Tech. 6 (1938) 39\u201358."},{"key":"10.1016\/S0166-5316(00)00050-X_BIB12","unstructured":"J. Riordan, Stochastic Service Systems, Wiley, New York, 1962."},{"key":"10.1016\/S0166-5316(00)00050-X_BIB13","doi-asserted-by":"crossref","unstructured":"J. Roberts, U. Mocci, J. Virtamo, Broadband Network Teletraffic \u2014 Final Report of Action COST 242, Springer, Berlin, 1996.","DOI":"10.1007\/3-540-61815-5"},{"key":"10.1016\/S0166-5316(00)00050-X_BIB14","unstructured":"A. Shwartz, A. Weiss, Large Deviations for Performance Analysis, Queues, Communication, and Computing, Chapman & Hall, New York, 1995."},{"key":"10.1016\/S0166-5316(00)00050-X_BIB15","unstructured":"L. Tak\u00e1cs, Introduction to the Theory of Queues, Oxford University Press, New York, 1962."},{"key":"10.1016\/S0166-5316(00)00050-X_BIB16","unstructured":"J. Virtamo, S. Aalto, Blocking probabilities in a transient system, COST 257 TD(97)14, 1997."}],"container-title":["Performance Evaluation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S016653160000050X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S016653160000050X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,1,14]],"date-time":"2020-01-14T20:54:34Z","timestamp":1579035274000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S016653160000050X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,2]]},"references-count":16,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[2001,2]]}},"alternative-id":["S016653160000050X"],"URL":"https:\/\/doi.org\/10.1016\/s0166-5316(00)00050-x","relation":{},"ISSN":["0166-5316"],"issn-type":[{"value":"0166-5316","type":"print"}],"subject":[],"published":{"date-parts":[[2001,2]]}}}