{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,8,22]],"date-time":"2023-08-22T02:27:18Z","timestamp":1692671238847},"reference-count":30,"publisher":"Elsevier BV","issue":"4","license":[{"start":{"date-parts":[[2001,3,1]],"date-time":"2001-03-01T00:00:00Z","timestamp":983404800000},"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":[[2001,3]]},"DOI":"10.1016\/s0166-5316(00)00044-4","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T15:50:18Z","timestamp":1027612218000},"page":"259-268","source":"Crossref","is-referenced-by-count":8,"title":["Approximation for overflow moments of a multiservice link with trunk reservation"],"prefix":"10.1016","volume":"43","author":[{"given":"Andreas","family":"Brandt","sequence":"first","affiliation":[]},{"given":"Manfred","family":"Brandt","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0166-5316(00)00044-4_BIB1","unstructured":"P. Tran-Gia, F. H\u00fcbner, An analysis of trunk reservation and grade of service balancing mechanisms in multiservice broadband networks, in: Proceedings of the IFIP Workshop TC6 on Modelling and Performance Evaluation of ATM Technology, 1993."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB2","doi-asserted-by":"crossref","unstructured":"J.W. Roberts, U. Mocci, J. Virtamo (Eds.), Broadband Network Teletraffic: Performance Evaluation and Design of Broadband Multiservice Networks, Final Report of Action COST 242, Springer, Berlin, 1996.","DOI":"10.1007\/3-540-61815-5"},{"key":"10.1016\/S0166-5316(00)00044-4_BIB3","unstructured":"R.S. Krupp, Stabilization of alternate routing networks, in: Proceedings of the IEEE International Communications Conference, 1982, pp. 31.2.1\u201331.2.5."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB4","doi-asserted-by":"crossref","first-page":"1261","DOI":"10.1002\/j.1538-7305.1984.tb00036.x","article-title":"The overload performance of engineered networks with nonhierarchical and hierarchical routing","volume":"63","author":"Akinpelu","year":"1984","journal-title":"AT&T Bell Labs Tech. J."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB5","doi-asserted-by":"crossref","unstructured":"K.W. Ross, Multiservice Loss Models for Broadband Telecommunication Networks, Springer, London, 1995.","DOI":"10.1007\/978-1-4471-2126-8"},{"key":"10.1016\/S0166-5316(00)00044-4_BIB6","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1109\/49.68449","article-title":"On the performance of a circuit switched link with priorities","volume":"9","author":"Arvidsson","year":"1991","journal-title":"IEEE J. Sel. Area Comm."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB7","unstructured":"M. Azmoodeh, R.N. Macfadyen, Multi-rate call congestion: fixed point models and trunk reservation, in: Proceedings of the 11th IEEE UK Teletraffic Symposium on Performance Engineering in Telecommunications Networks, Vol. 6, 1994, pp. 1\u201310."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB8","doi-asserted-by":"crossref","first-page":"273","DOI":"10.2307\/1428107","article-title":"Asymptotic analysis of single resource loss systems in heavy traffic, with applications to integrated networks","volume":"27","author":"Bean","year":"1995","journal-title":"Adv. Appl. Prob."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB9","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1109\/TCOM.1985.1096268","article-title":"Blocking probability of noninteger groups with trunk reservation","volume":"COM-33","author":"Girard","year":"1985","journal-title":"IEEE Trans. Comm."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB10","unstructured":"K. Kawashima, Trunk reservation models in telecommunications systems, in: O.J. Boxma, J.W. Cohen, H.C. Tijms (Eds.), Teletraffic Analysis and Computer Performance Evaluation, North-Holland, Amsterdam, 1986, pp. 29\u201336."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB11","doi-asserted-by":"crossref","first-page":"204","DOI":"10.1017\/S0334270000006597","article-title":"Fixed point models of loss networks","volume":"31","author":"Kelly","year":"1989","journal-title":"J. Aust. Math. Soc. Ser. B"},{"key":"10.1016\/S0166-5316(00)00044-4_BIB12","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1017\/S0269964800001558","article-title":"Optimal control and trunk reservation in loss networks","volume":"4","author":"Key","year":"1990","journal-title":"Prob. Eng. Inf. Sci."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB13","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1109\/TCOM.1987.1096774","article-title":"Blocking probability for trunk reservation policy","volume":"COM-35","author":"Le Gall","year":"1987","journal-title":"IEEE Trans. Comm."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB14","unstructured":"D. Mitra, R.J. Gibbens, D.B. Huang, Analysis and optimal design of aggregated-least-busy-alternative routing on symmetric loss networks with trunk reservation, in: A. Jensen, V.B. Iversen (Eds.), Teletraffic and Datatraffic in a Period of Change, ITC-13, North-Holland, Amsterdam, 1991, pp. 477\u2013482."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB15","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1007\/BF02110081","article-title":"Normal-type approximation for multi-service systems with trunk reservation","volume":"4","author":"Naoumov","year":"1995","journal-title":"Telecomm. Syst."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB16","doi-asserted-by":"crossref","unstructured":"M.I. Reiman, Asymptotically optimal trunk reservation for large trunk groups, in: Proceedings of the 28th IEEE Conference on Decision and Control, 1989, pp. 2536\u20132541.","DOI":"10.1109\/CDC.1989.70634"},{"key":"10.1016\/S0166-5316(00)00044-4_BIB17","unstructured":"M.I. Reiman, Optimal trunk reservation for a critically loaded link, in: A. Jensen, V.B. Iversen (Eds.), Teletraffic and Datatraffic in a Period of Change, ITC-13, North-Holland, Amsterdam, 1991, pp. 247\u2013252."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB18","unstructured":"L. Reneby, Service protection and overflow in circuit switched networks, Thesis, Technical Report, Department of Communication Systems, Lund Institute of Technology, Lund, Sweden, No. 107, 1991, pp. 1\u2013197."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB19","unstructured":"J.W. Roberts, Teletraffic models for the telecom 1 integrated services network, in: Proceedings of the 10th International Teletraffic Congress, ITC-10, 1983."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB20","unstructured":"D.J. Songhurst, Protection against traffic overload in hierarchical networks employing alternative routing, in: Proceedings of the First Telecommunications Networks Planning Symposium, 1980, pp. 214\u2013220."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB21","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1016\/0166-5316(92)90034-E","article-title":"The calculation of overflow moments in loss systems with selective trunk reservation","volume":"15","author":"Wallin","year":"1992","journal-title":"Perform. Eval."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB22","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1109\/TCOM.1979.1094422","article-title":"Analytic approximation of blocking probabilities in circuit switched communication networks","volume":"COM-27","author":"Deschamps","year":"1979","journal-title":"IEEE Trans. Comm."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB23","first-page":"324","article-title":"A model for stream overflows in circuit-switched communication networks","volume":"E80-B","author":"Bhandari","year":"1997","journal-title":"IEICE Trans. Comm.: Special Issue on Telecommunications Network Planning and Design"},{"key":"10.1016\/S0166-5316(00)00044-4_BIB24","unstructured":"F. Kelly, Reversibility and Stochastic Networks, Wiley, Chichester, UK, 1979."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB25","doi-asserted-by":"crossref","first-page":"1474","DOI":"10.1109\/TCOM.1981.1094894","article-title":"Blocking in a shared resource environment","volume":"COM-29","author":"Kaufman","year":"1981","journal-title":"IEEE Trans. Comm."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB26","doi-asserted-by":"crossref","first-page":"1209","DOI":"10.1109\/TCOM.1983.1095768","article-title":"On the steady-state distribution in a service facility carrying mixtures of traffic with different peakedness factors and capacity requirements","volume":"COM-31","author":"Delbrouck","year":"1983","journal-title":"IEEE Trans. Comm."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB27","doi-asserted-by":"crossref","unstructured":"J. Stoer, R. Bulirsch, Introduction to Numerical Analysis, Springer, New York, 1993.","DOI":"10.1007\/978-1-4757-2272-7"},{"key":"10.1016\/S0166-5316(00)00044-4_BIB28","unstructured":"P.J. Courtois, Decomposability\u2014Queueing and Computer System Applications, Academic Press, London, 1997."},{"key":"10.1016\/S0166-5316(00)00044-4_BIB29","doi-asserted-by":"crossref","unstructured":"M.I. Reiman, J.A. Schmitt, Performance models of multirate traffic in various network implementations, in: J. Labetoulle, J.W. Roberts (Eds.), The Fundamental Role of Teletraffic in the Evolution of Telecommunication Networks, Vol. 1b, ITC-14, Elsevier, Amsterdam, 1994, pp. 1217\u20131228.","DOI":"10.1016\/B978-0-444-82031-0.50123-2"},{"key":"10.1016\/S0166-5316(00)00044-4_BIB30","unstructured":"CCITT, Recommendation E.524, The International Telegraph and Telephone Consultative Committee (CCITT), 1992, pp. 1\u201311."}],"container-title":["Performance Evaluation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0166531600000444?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0166531600000444?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,22]],"date-time":"2019-04-22T02:03:17Z","timestamp":1555898597000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0166531600000444"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,3]]},"references-count":30,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2001,3]]}},"alternative-id":["S0166531600000444"],"URL":"https:\/\/doi.org\/10.1016\/s0166-5316(00)00044-4","relation":{},"ISSN":["0166-5316"],"issn-type":[{"value":"0166-5316","type":"print"}],"subject":[],"published":{"date-parts":[[2001,3]]}}}