{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,15]],"date-time":"2025-08-15T00:23:50Z","timestamp":1755217430543,"version":"3.43.0"},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"3-4","license":[{"start":{"date-parts":[[1998,12,1]],"date-time":"1998-12-01T00:00:00Z","timestamp":912470400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[1998,12,1]],"date-time":"1998-12-01T00:00:00Z","timestamp":912470400000},"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":[[1998,12]]},"DOI":"10.1023\/a:1019129424256","type":"journal-article","created":{"date-parts":[[2003,2,19]],"date-time":"2003-02-19T18:30:27Z","timestamp":1045679427000},"page":"341-363","source":"Crossref","is-referenced-by-count":9,"title":["Some limit theorems for regenerative queues"],"prefix":"10.1007","volume":"30","author":[{"given":"Vinod","family":"Sharma","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"329532_CR1","doi-asserted-by":"publisher","first-page":"845","DOI":"10.2307\/3214389","volume":"26","author":"M. Alex","year":"1989","unstructured":"M. Alex and J. Steinbach, Invariance principles in queueing theory, J. Appl. Probab. 26 (1989) 845-857.","journal-title":"J. Appl. Probab."},{"key":"329532_CR2","volume-title":"Applied Probability and Queues","author":"S. Asmussen","year":"1987","unstructured":"S. Asmussen, Applied Probability and Queues (Wiley, New York, 1987)."},{"key":"329532_CR3","doi-asserted-by":"publisher","first-page":"170","DOI":"10.1109\/5.64405","volume":"79","author":"J.J. Bae","year":"1991","unstructured":"J.J. Bae and T. Suda, Survey of traffic control schemes and protocols in ATM networks, Proc. IEEE 79 (1991) 170-189.","journal-title":"Proc. IEEE"},{"key":"329532_CR4","doi-asserted-by":"publisher","first-page":"851","DOI":"10.2307\/1426863","volume":"11","author":"K. Balagopal","year":"1979","unstructured":"K. Balagopal, On queues in discrete regenerative environments with application to the second of two queues in series, Adv. in Appl. Probab. 11 (1979) 851-869.","journal-title":"Adv. in Appl. Probab."},{"key":"329532_CR5","doi-asserted-by":"crossref","first-page":"685","DOI":"10.1080\/15326349208807247","volume":"8","author":"A.W. Berger","year":"1992","unstructured":"A.W. Berger and W. Whitt, The impact of a job buffer in a token bank rate control throttle, Stochastic Models 8 (1992) 685-717.","journal-title":"Stochastic Models"},{"key":"329532_CR6","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-9866-3","volume-title":"Stochastic Processes in Queueing Theory","author":"A. Borovkov","year":"1976","unstructured":"A. Borovkov, Stochastic Processes in Queueing Theory (Springer, New York, 1976)."},{"key":"329532_CR7","doi-asserted-by":"publisher","first-page":"214","DOI":"10.1137\/1138023","volume":"38","author":"A. Borovkov","year":"1993","unstructured":"A. Borovkov and S.A. Utev, Estimates for distributions of sums stopped at Markov times, Theory Probab. Appl. 38 (1993) 214-225.","journal-title":"Theory Probab. Appl."},{"key":"329532_CR8","doi-asserted-by":"crossref","DOI":"10.1515\/9783112727515","volume-title":"Stationary Stochastic Models","author":"A. Brandt","year":"1990","unstructured":"A. Brandt, P. Franken and B. Lisek, Stationary Stochastic Models (Wiley, New York, 1990)."},{"key":"329532_CR9","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1007\/BF01158690","volume":"17","author":"D.J. Daley","year":"1994","unstructured":"D.J. Daley, R.D. Foley and T. Rolski, Conditions for finite moments of waiting times in G\/G\/1 queues, Queueing Systems 17 (1994) 89-106.","journal-title":"Queueing Systems"},{"key":"329532_CR10","doi-asserted-by":"publisher","first-page":"600","DOI":"10.2307\/3214092","volume":"24","author":"D. Gibson","year":"1987","unstructured":"D. Gibson and E. Seneta, Augmented truncation of infinite stochastic matrices, J. Appl. Probab. 24 (1987) 600-608.","journal-title":"J. Appl. Probab."},{"key":"329532_CR11","volume-title":"Stopped Random Walks","author":"A. Gut","year":"1991","unstructured":"A. Gut, Stopped Random Walks (Springer, New York, 1991)."},{"key":"329532_CR12","unstructured":"V. Kalashnikov, Assessing the sensitivity of queueing systems, Avtomat. i Telemekh. (1981)."},{"key":"329532_CR13","volume-title":"Topics on Regenerative Processes","author":"V. Kalashnikov","year":"1994","unstructured":"V. Kalashnikov, Topics on Regenerative Processes (CRC Press, Boca Raton, FL, 1994)."},{"key":"329532_CR14","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-017-2197-4","volume-title":"Mathematical Methods in Queueing Theory","author":"V. Kalashnikov","year":"1994","unstructured":"V. Kalashnikov, Mathematical Methods in Queueing Theory (Kluwer Academic Publishers, Dordrecht, 1994)."},{"key":"329532_CR15","doi-asserted-by":"publisher","first-page":"423","DOI":"10.1109\/90.413216","volume":"3","author":"T. Konstantopoulis","year":"1995","unstructured":"T. Konstantopoulis and V. Ananthram, Optimal flow control schemes that regulate the burstiness of traffic, IEEE\/ACM Trans. Networking 3 (1995) 423-432.","journal-title":"IEEE\/ACM Trans. Networking"},{"key":"329532_CR16","doi-asserted-by":"crossref","unstructured":"W. Leland, M. Taqque, W. Willinger and D. Wilson, On the self similar nature of Ethernet traffic, IEEE\/ACM Trans. Networking 3 (1994).","DOI":"10.1109\/90.282603"},{"key":"329532_CR17","doi-asserted-by":"publisher","first-page":"479","DOI":"10.1017\/S0305004100036781","volume":"58","author":"R.M. Loynes","year":"1962","unstructured":"R.M. Loynes, The stability of a queue with nonindependent, interarrival and service times, Proc. Cambridge Phil. Soc. 58 (1962) 479-520.","journal-title":"Proc. Cambridge Phil. Soc."},{"key":"329532_CR18","unstructured":"D.M. Lucantoni, The BMAP\/G\/1 queue: A tutorial, preprint (1994)."},{"key":"329532_CR19","first-page":"149","volume":"18","author":"K. Meier-Hellstern","year":"1992","unstructured":"K. Meier-Hellstern and W. Fischer, The Markov modulated Poisson process (MMPP) cookbook, Performance Evaluation 18 (1992) 149-171.","journal-title":"Performance Evaluation"},{"key":"329532_CR20","doi-asserted-by":"crossref","unstructured":"B.K. Ryu and S.B. Lowen, Point process approaches to the modelling and analysis of self similar traffic, part I \u2014 Model construction, in: Proc. IEEE INFOCOM '96 (1996) pp. 1468-1475.","DOI":"10.1109\/INFCOM.1996.493096"},{"key":"329532_CR21","unstructured":"V. Sharma, Invariance principles for a Markov modulated M\/GI\/1 queue in light and heavy traffic, in: Recent Advances in Cybernatics and Systems, Proc. of the 9th Internat. Congress of Cybermatics and Systems, New Delhi (1993)."},{"key":"329532_CR22","unstructured":"V. Sharma, Markov modulated queues in discrete time \u2014 Some limit theorems, Technical Report, STC, IISc-ISRO (May 1993)."},{"key":"329532_CR23","doi-asserted-by":"publisher","first-page":"169","DOI":"10.1007\/BF01148945","volume":"19","author":"V. Sharma","year":"1995","unstructured":"V. Sharma, Reliable estimation via simulation, Queueing Systems 19 (1995) 169-192.","journal-title":"Queueing Systems"},{"key":"329532_CR24","doi-asserted-by":"publisher","first-page":"1039","DOI":"10.2307\/1427853","volume":"29","author":"V. Sharma","year":"1997","unstructured":"V. Sharma, Approximations of general discrete time queues by discrete, time queues with arrivals modulated by finite chains, Adv. in Appl. Probab. 29 (1997) 1039-1059.","journal-title":"Adv. in Appl. Probab."},{"key":"329532_CR25","unstructured":"V. Sharma, Limit theorems for general regenerative discrete queues, submitted."},{"key":"329532_CR26","doi-asserted-by":"crossref","unstructured":"W. Whitt, The continuity of queues, Adv. in Appl. Probab. (1974).","DOI":"10.2307\/1426213"}],"container-title":["Queueing Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1019129424256.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1019129424256\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1019129424256.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,5]],"date-time":"2025-08-05T12:56:27Z","timestamp":1754398587000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1019129424256"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,12]]},"references-count":26,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[1998,12]]}},"alternative-id":["329532"],"URL":"https:\/\/doi.org\/10.1023\/a:1019129424256","relation":{},"ISSN":["0257-0130","1572-9443"],"issn-type":[{"type":"print","value":"0257-0130"},{"type":"electronic","value":"1572-9443"}],"subject":[],"published":{"date-parts":[[1998,12]]}}}