{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T10:35:33Z","timestamp":1648722933010},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2015,10,28]],"date-time":"2015-10-28T00:00:00Z","timestamp":1445990400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Ann Oper Res"],"published-print":{"date-parts":[[2017,5]]},"DOI":"10.1007\/s10479-015-2049-4","type":"journal-article","created":{"date-parts":[[2015,10,28]],"date-time":"2015-10-28T18:52:05Z","timestamp":1446058325000},"page":"175-190","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Characterisation of the output process of a discrete-time GI\u00a0\/\u00a0D\u00a0\/\u00a01 queue, and its application to network performance"],"prefix":"10.1007","volume":"252","author":[{"given":"Bart","family":"Steyaert","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sabine","family":"Wittevrongel","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Herwig","family":"Bruneel","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,10,28]]},"reference":[{"issue":"5","key":"2049_CR1","doi-asserted-by":"publisher","first-page":"885","DOI":"10.1287\/opre.43.5.885","volume":"43","author":"J Abate","year":"1995","unstructured":"Abate, J., Choudhury, G. L., & Whitt, W. (1995). Exponential approximation for tail probabilities of queues, I: Waiting times. Operations Research, 43(5), 885\u2013901.","journal-title":"Operations Research"},{"issue":"5","key":"2049_CR2","doi-asserted-by":"publisher","first-page":"758","DOI":"10.1287\/opre.44.5.758","volume":"44","author":"J Abate","year":"1996","unstructured":"Abate, J., Choudhury, G. L., & Whitt, W. (1996). Exponential approximation for tail probabilities of queues, II: Sojourn time and workload. Operations Research, 44(5), 758\u2013763.","journal-title":"Operations Research"},{"issue":"1","key":"2049_CR3","doi-asserted-by":"publisher","first-page":"243","DOI":"10.1017\/S0001867800004778","volume":"43","author":"A Al Hanbali","year":"2011","unstructured":"Al Hanbali, A., Mandjes, M., Nazarathy, Y., & Whitt, W. (2011). The asymptotic variance of departures in critically loaded queues. Advances in Applied Probability, 43(1), 243\u2013263.","journal-title":"Advances in Applied Probability"},{"key":"2049_CR4","first-page":"3","volume":"32","author":"C Blondia","year":"1993","unstructured":"Blondia, C. (1993). A discrete time batch Markovian arrival process as B-ISDN traffic model. Belgian Journal of Operations Research Statistics and Computer Science, 32, 3\u201323.","journal-title":"Belgian Journal of Operations Research Statistics and Computer Science"},{"key":"2049_CR5","doi-asserted-by":"publisher","unstructured":"Bruneel, H., & Kim, B. G. (1993). Discrete-time models for communication systems including ATM. Norwell, MA:Kluwer Academic Publishers. ISBN 0-7923-9292-2.","DOI":"10.1007\/978-1-4615-3130-2"},{"key":"2049_CR6","doi-asserted-by":"publisher","first-page":"563","DOI":"10.1016\/0377-2217(94)90287-9","volume":"76","author":"H Bruneel","year":"1994","unstructured":"Bruneel, H., Steyaert, B., Desmet, E., & Petit, G. H. (1994). Analytic derivation of tail probabilities for queue lengths and waiting times in ATM multiserver queues. European Journal of Operational Research, 76, 563\u2013572.","journal-title":"European Journal of Operational Research"},{"issue":"5","key":"2049_CR7","doi-asserted-by":"publisher","first-page":"659","DOI":"10.1109\/90.731205","volume":"6","author":"J Choe","year":"1998","unstructured":"Choe, J., & Shroff, N. B. (1998). A central-limit-theorem-based approach for analyzing queue behavior in high-speed networks. IEEE\/ACM Transactions on Networking, 6(5), 659\u2013671.","journal-title":"IEEE\/ACM Transactions on Networking"},{"issue":"2","key":"2049_CR8","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1017\/S0001867800042208","volume":"8","author":"DJ Daley","year":"1976","unstructured":"Daley, D. J. (1976). Queueing output processes. Advances in Applied Probability, 8(2), 395\u2013415.","journal-title":"Advances in Applied Probability"},{"issue":"3","key":"2049_CR9","doi-asserted-by":"publisher","first-page":"567","DOI":"10.1287\/opre.29.3.567","volume":"29","author":"S Halfin","year":"1981","unstructured":"Halfin, S., & Whitt, W. (1981). Heavy-traffic limits for queues with many exponential servers. Operations Research, 29(3), 567\u2013588.","journal-title":"Operations Research"},{"key":"2049_CR10","unstructured":"Ji, Q. J. (2004). Can multifractal traffic burstiness be approximated by Markov modulated poisson processes? In Proceedings of 12th IEEE international conference on networks (ICON 2004), (pp. 26\u201330). Singapore."},{"issue":"7","key":"2049_CR11","doi-asserted-by":"publisher","first-page":"1220","DOI":"10.1016\/j.cor.2009.04.016","volume":"37","author":"B Kim","year":"2010","unstructured":"Kim, B., & Kim, J. (2010). Queue size distribution in a discrete-time \n                        $$D-BMAP\/G\/1$$\n                        \n                            \n                                            \n                                \n                                    D\n                                    -\n                                    B\n                                    M\n                                    A\n                                    P\n                                    \/\n                                    G\n                                    \/\n                                    1\n                                \n                            \n                        \n                     retrial queue. Computers & Operations Research, 37(7), 1220\u20131227.","journal-title":"Computers & Operations Research"},{"issue":"3","key":"2049_CR12","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1016\/j.ejor.2011.03.038","volume":"213","author":"H Masuyama","year":"2011","unstructured":"Masuyama, H. (2011). Subexponential asymptotics of the stationary distributions of \n                        $$M\/G\/1-$$\n                        \n                            \n                                            \n                                \n                                    M\n                                    \/\n                                    G\n                                    \/\n                                    1\n                                    -\n                                \n                            \n                        \n                    type Markov chains. European Journal of Operational Research, 213(3), 509\u2013516.","journal-title":"European Journal of Operational Research"},{"issue":"3","key":"2049_CR13","doi-asserted-by":"publisher","first-page":"547","DOI":"10.1287\/moor.1090.0375","volume":"34","author":"M Miyazawa","year":"2009","unstructured":"Miyazawa, M. (2009). Tail decay rates in doubly QBD processes. Mathematics of Operations Research, 34(3), 547\u2013575.","journal-title":"Mathematics of Operations Research"},{"issue":"1","key":"2049_CR14","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1081\/STM-120028389","volume":"20","author":"K Nakagawa","year":"2004","unstructured":"Nakagawa, K. (2004). On the exponential decay rate of the tail of a discrete probability distribution. Stocastic Models, 20(1), 31\u201342.","journal-title":"Stocastic Models"},{"issue":"3\u20134","key":"2049_CR15","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1007\/s11134-011-9249-7","volume":"68","author":"Y Nazarathy","year":"2011","unstructured":"Nazarathy, Y. (2011). The variance of departure processes: Puzzling behavior and open problems. Queueing Systems, 68(3\u20134), 385\u2013394.","journal-title":"Queueing Systems"},{"issue":"2","key":"2049_CR16","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1007\/s11134-008-9079-4","volume":"59","author":"Y Nazarathy","year":"2008","unstructured":"Nazarathy, Y., & Weiss, G. (2008). The asymptotic variance rate of the output process of finite capacity birth-death queues. Queueing Systems, 59(2), 135\u2013156.","journal-title":"Queueing Systems"},{"key":"2049_CR17","doi-asserted-by":"publisher","unstructured":"Rueda, W. K. (1996). A survey of traffic characterization techniques in telecommunication networks. In: Proceedings of Canadian conference on electrical and computer engineering (vol. 2, pp. 830\u2013833). Calgary.","DOI":"10.1109\/CCECE.1996.548281"},{"key":"2049_CR18","unstructured":"Steyaert, B. (2008). Analysis of generic discrete-time buffer models with irregular packet arrival patterns. Ph.D. thesis, ISBN 978-908578-187-5. \n                        http:\/\/biblio.ugent.be\/record\/471285\n                        \n                    ."},{"issue":"18","key":"2049_CR19","doi-asserted-by":"publisher","first-page":"681","DOI":"10.1016\/j.ipl.2013.06.009","volume":"113","author":"B Steyaert","year":"2013","unstructured":"Steyaert, B., Claeys, D., & Bruneel, H. (2013). The burst factor and its impact on buffer performance. Information Processing Letters, 113(18), 681\u2013684.","journal-title":"Information Processing Letters"},{"issue":"10","key":"2049_CR20","doi-asserted-by":"publisher","first-page":"230","DOI":"10.1017\/S000186780001942X","volume":"22","author":"W Szczotka","year":"1990","unstructured":"Szczotka, W. (1990). Exponential approximation of waiting time and queue size for queues in heavy traffic. Advances in Applied Probability, 22(10), 230\u2013240.","journal-title":"Advances in Applied Probability"},{"issue":"2","key":"2049_CR21","first-page":"92","volume":"51","author":"Y Tai","year":"2013","unstructured":"Tai, Y., & He, Q. M. (2013). Logarithmic asymptotics for the GI\/G\/1-type Markov chains and their applications to the \n                        $$BMAP\/G\/1$$\n                        \n                            \n                                            \n                                \n                                    B\n                                    M\n                                    A\n                                    P\n                                    \/\n                                    G\n                                    \/\n                                    1\n                                \n                            \n                        \n                     queue with vacations. INFOR, 51(2), 92\u2013102.","journal-title":"INFOR"},{"key":"2049_CR22","doi-asserted-by":"publisher","unstructured":"Wischik, D. (2006). Buffer sizing theory for bursty TCP flows. In Proceedings IEEE 2006 international Zurich seminar on communications (pp. 98\u2013101). Zurich. doi:\n                        10.1109\/IZS.2006.1649089\n                        \n                    .","DOI":"10.1109\/IZS.2006.1649089"},{"issue":"1","key":"2049_CR23","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1016\/S0166-5316(97)00015-1","volume":"32","author":"S Wittevrongel","year":"1998","unstructured":"Wittevrongel, S., & Bruneel, H. (1998). Correlation effects in ATM queues due to data format conversions. Performance Evaluation, 32(1), 35\u2013656.","journal-title":"Performance Evaluation"},{"issue":"8","key":"2049_CR24","doi-asserted-by":"publisher","first-page":"555","DOI":"10.1016\/j.peva.2007.10.004","volume":"65","author":"Y Ying","year":"2008","unstructured":"Ying, Y., Guillemin, F., Mazumdar, R., & Rosenberg, C. (2008). Buffer overflow asymptotics for multiplexed regulated traffic. Performance Evaluation, 65(8), 555\u2013572.","journal-title":"Performance Evaluation"}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-015-2049-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10479-015-2049-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-015-2049-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-015-2049-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T14:10:05Z","timestamp":1559139005000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10479-015-2049-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,10,28]]},"references-count":24,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2017,5]]}},"alternative-id":["2049"],"URL":"https:\/\/doi.org\/10.1007\/s10479-015-2049-4","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"value":"0254-5330","type":"print"},{"value":"1572-9338","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,10,28]]}}}