{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,15]],"date-time":"2025-08-15T01:23:14Z","timestamp":1755220994263,"version":"3.43.0"},"reference-count":39,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2002,2,1]],"date-time":"2002-02-01T00:00:00Z","timestamp":1012521600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2002,2,1]],"date-time":"2002-02-01T00:00:00Z","timestamp":1012521600000},"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":["Telecommunication Systems"],"published-print":{"date-parts":[[2002,2]]},"DOI":"10.1023\/a:1013394009996","type":"journal-article","created":{"date-parts":[[2002,12,29]],"date-time":"2002-12-29T14:13:07Z","timestamp":1041171187000},"page":"187-207","source":"Crossref","is-referenced-by-count":5,"title":["Two-Link Approximation Schemes for Loss Networks with Linear Structure and Trunk Reservation"],"prefix":"10.1007","volume":"19","author":[{"given":"Mark","family":"Bebbington","sequence":"first","affiliation":[]},{"given":"Phil","family":"Pollett","sequence":"additional","affiliation":[]},{"given":"Ilze","family":"Ziedins","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"390232_CR1","unstructured":"N.H. Antoniu, Optimal admission policies for small star networks, Ph.D. thesis, University of Durham (1995)."},{"key":"390232_CR2","doi-asserted-by":"crossref","first-page":"858","DOI":"10.1109\/49.510909","volume":"14","author":"R.A. Barry","year":"1996","unstructured":"R.A. Barry and P.A. Humblet, Models of blocking probabilities in all-optical networks with and without wavelength changers, IEEE Journal on Selected Areas in Communications 14 (1996) 858-867.","journal-title":"IEEE Journal on Selected Areas in Communications"},{"key":"390232_CR3","unstructured":"M.S. Bebbington, P.K. Pollett and I. Ziedins, Improved fixed point methods for loss networks with linear structure, in: Proc. of the 4th Internat. Conf. on Telecommunications, Vol. 3, ed. W.J. Lavery, 1997, pp. 1411-1416."},{"key":"390232_CR4","first-page":"539","volume":"35","author":"M.S. Bebbington","year":"1998","unstructured":"M.S. Bebbington, P.K. Pollett and I. Ziedins, Two-link approximation schemes for linear loss networks without controls, Journal of the Korean Mathematical Society 35 (1998) 539-557.","journal-title":"Journal of the Korean Mathematical Society"},{"key":"390232_CR5","doi-asserted-by":"crossref","first-page":"852","DOI":"10.1109\/49.510908","volume":"14","author":"A. Birman","year":"1996","unstructured":"A. Birman, Computing approximate blocking probabilities for a class of all-optical networks, IEEE Journal on Selected Areas in Communications 14 (1996) 852-857.","journal-title":"IEEE Journal on Selected Areas in Communications"},{"key":"390232_CR6","doi-asserted-by":"crossref","first-page":"850","DOI":"10.2307\/3213701","volume":"21","author":"D.Y. Burman","year":"1984","unstructured":"D.Y. Burman, J.P. Lehoczky and Y. Lim, Insensitivity of blocking probabilities in a circuit-switching network, Journal of Applied Probability 21 (1984) 850-859.","journal-title":"Journal of Applied Probability"},{"key":"390232_CR7","first-page":"565","volume-title":"Numerical Solution of Markov Chains","author":"G. Ciardo","year":"1991","unstructured":"G. Ciardo and K.S. Trivedi, Solution of large GSPN models, in: Numerical Solution of Markov Chains, ed. W.J. Stewart (Marcel Dekker, New York, 1991) pp. 565-595."},{"key":"390232_CR8","first-page":"74","volume-title":"Proc. of the 4th Internat. Workshop on Petri Nets and Performance Models","author":"G. Ciardo","year":"1991","unstructured":"G. Ciardo and K.S. Trivedi, A decomposition approach for stochastic Petri net models, in: Proc. of the 4th Internat. Workshop on Petri Nets and Performance Models (IEEE Computer Soc. Press, Silver Spring, MD, 1991) pp. 74-83."},{"key":"390232_CR9","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1007\/BF02109849","volume":"2","author":"A.J. Coyle","year":"1993","unstructured":"A.J. Coyle, W. Henderson and P.G. Taylor, Reduced load approximations for loss networks, Telecom-munication Systems 2 (1993) 21-50.","journal-title":"Telecom-munication Systems"},{"key":"390232_CR10","unstructured":"A.J. Coyle, W. Henderson and P.G. Taylor, Decomposition methods for loss networks with circuit reservation, in: Proc. of the 7th Australian Teletraffic Res. Seminar, ed. W. Henderson, Teletraffic Research Centre, University of Adelaide, Adelaide, pp. 229-241."},{"key":"390232_CR11","doi-asserted-by":"crossref","first-page":"1166","DOI":"10.1109\/49.725187","volume":"16","author":"O. Gerstel","year":"1998","unstructured":"O. Gerstel, R. Ramaswami and G.H. Sasaki, Fault tolerant multiwavelength optical rings with limited wavelength conversion, IEEE Journal on Selected Areas in Communications 16 (1998) 1166-1177.","journal-title":"IEEE Journal on Selected Areas in Communications"},{"key":"390232_CR12","first-page":"113","volume-title":"Disorder in Physical Systems","author":"R.J. Gibbens","year":"1990","unstructured":"R.J. Gibbens, P.J. Hunt and F.P. Kelly, Bistability in communications networks, in: Disorder in Physical Systems, eds. G.R. Grimmett and D.J.A. Welsh (Oxford Univ. Press, Oxford, 1990) pp. 113-127."},{"key":"390232_CR13","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4615-3264-4","volume-title":"Switching and Traffic Theory for Integrated Broadband Networks","author":"J.Y. Hui","year":"1990","unstructured":"J.Y. Hui, Switching and Traffic Theory for Integrated Broadband Networks (Kluwer, Boston, 1990)."},{"key":"390232_CR14","doi-asserted-by":"crossref","first-page":"255","DOI":"10.2307\/1428106","volume":"25","author":"P.J. Hunt","year":"1995","unstructured":"P.J. Hunt, Loss networks under diverse routing: the symmetric star network, Advances in Applied Probability 25 (1995) 255-272.","journal-title":"Advances in Applied Probability"},{"key":"390232_CR15","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1016\/0304-4149(94)90071-X","volume":"53","author":"P.J. Hunt","year":"1994","unstructured":"P.J. Hunt and T.G. Kurtz, Large loss networks, Stochastic Processes and their Applications 53 (1994) 363-378.","journal-title":"Stochastic Processes and their Applications"},{"key":"390232_CR16","doi-asserted-by":"crossref","first-page":"880","DOI":"10.1287\/moor.18.4.880","volume":"18","author":"P.J. Hunt","year":"1991","unstructured":"P.J. Hunt and C.N. Laws, Asymptotically optimal loss network control, Mathematics of Operations Research 18 (1991) 880-900.","journal-title":"Mathematics of Operations Research"},{"key":"390232_CR17","first-page":"1058","volume":"7","author":"P.J. Hunt","year":"1997","unstructured":"P.J. Hunt and C.N. Laws, Optimization via trunk reservation in single resource loss systems under heavy traffic, The Annals of Applied Probability 7 (1997) 1058-1079.","journal-title":"The Annals of Applied Probability"},{"key":"390232_CR18","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1111\/j.2517-6161.1985.tb01367.x","volume":"47","author":"F.P. Kelly","year":"1985","unstructured":"F.P. Kelly, Stochastic models for computer communication systems, Journal of the Royal Statistical Society. Series B 47 (1985) 379-395.","journal-title":"Journal of the Royal Statistical Society. Series B"},{"key":"390232_CR19","doi-asserted-by":"crossref","first-page":"473","DOI":"10.2307\/1427309","volume":"18","author":"F.P. Kelly","year":"1986","unstructured":"F.P. Kelly, Blocking probabilities in large circuit-switched networks, Advances in Applied Probability 18 (1986) 473-505.","journal-title":"Advances in Applied Probability"},{"key":"390232_CR20","doi-asserted-by":"crossref","first-page":"771","DOI":"10.1287\/moor.15.4.771","volume":"15","author":"F.P. Kelly","year":"1990","unstructured":"F.P. Kelly, Routing and capacity allocation in networks with trunk reservation, Mathematics of Operations Research 15 (1990) 771-793.","journal-title":"Mathematics of Operations Research"},{"key":"390232_CR21","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1214\/aoap\/1177005872","volume":"1","author":"F.P. Kelly","year":"1991","unstructured":"F.P. Kelly, Loss networks, Annals of Applied Probability 1 (1991) 319-378.","journal-title":"Annals of Applied Probability"},{"key":"390232_CR22","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1017\/S0269964800001558","volume":"4","author":"P.B. Key","year":"1990","unstructured":"P.B. Key, Optimal control and trunk reservation in loss networks, Probability in the Engineering and Informational Sciences 4 (1990) 203-242.","journal-title":"Probability in the Engineering and Informational Sciences"},{"key":"390232_CR23","first-page":"275","volume":"10","author":"J.C. Lagarias","year":"1985","unstructured":"J.C. Lagarias, A.M. Odlyzko and D.B. Zagier, Realizable traffic patterns and capacity of disjointly shared networks, Comput. Networks 10 (1985) 275-285.","journal-title":"Comput. Networks"},{"key":"390232_CR24","doi-asserted-by":"crossref","first-page":"687","DOI":"10.1287\/opre.23.4.687","volume":"23","author":"S.A. Lippman","year":"1975","unstructured":"S.A. Lippman, Applying a new device in the optimization of exponential queueing systems, Operations Research 23 (1975) 687-710.","journal-title":"Operations Research"},{"key":"390232_CR25","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/0304-3975(94)90293-3","volume":"125","author":"G. Louth","year":"1994","unstructured":"G. Louth, M. Mitzenmacher and F. Kelly, Computational complexity of loss networks, Theoretical Computer Science 125 (1994) 45-59.","journal-title":"Theoretical Computer Science"},{"key":"390232_CR26","series-title":"Royal Statistical Society Lecture Note Series","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1093\/oso\/9780198523994.003.0012","volume-title":"Stochastic Networks: Theory and Applications","author":"I.M. MacPhee","year":"1996","unstructured":"I.M. MacPhee and I. Ziedins, Admission controls for loss networks with diverse routing, in: Stochastic Networks: Theory and Applications, eds. F.P. Kelly, S. Zachary and I. Ziedins, Royal Statistical Society Lecture Note Series (Oxford Univ. Press, Oxford, 1996) pp. 205-214."},{"key":"390232_CR27","doi-asserted-by":"crossref","first-page":"219","DOI":"10.2307\/1427381","volume":"19","author":"D. Mitra","year":"1984","unstructured":"D. Mitra and P.J. Weinberger, Probabilistic models of database locking: solutions, computational algorithms and asymptotics, Advances in Applied Probability 19 (1984) 219-239.","journal-title":"Advances in Applied Probability"},{"key":"390232_CR28","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1007\/BFb0022226","volume-title":"Broadband Communications: Networks, Services, Applications, Future Directions","author":"D. Mitra","year":"1996","unstructured":"D. Mitra and I. Ziedins, Virtual partitioning by dynamic priorities: fair and efficient resource-sharing by several services, in: Broadband Communications: Networks, Services, Applications, Future Directions, ed. B. Plattner, Lecture Notes in Computer Science, Vol. 1044 (Springer, New York, 1996) pp. 173-185."},{"key":"390232_CR29","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1155\/S1173912698000066","volume":"2","author":"B. Moretta","year":"1998","unstructured":"B. Moretta and I. Ziedins, Admission controls for Erlang's loss system with service times distributed as a finite sum of exponential random variables, Journal of Applied Mathematics and Decision Science 2 (1998) 119-132.","journal-title":"Journal of Applied Mathematics and Decision Science"},{"key":"390232_CR30","first-page":"21","volume":"26","author":"D.L. Pallant","year":"1992","unstructured":"D.L. Pallant, A reduced load approximation for cellular mobile networks including handovers, Australian Telecommunications Research 26 (1992) 21-29.","journal-title":"Australian Telecommunications Research"},{"key":"390232_CR31","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1007\/BF02110140","volume":"3","author":"D. Pallant","year":"1994","unstructured":"D. Pallant and P.G. Taylor, Approximation of performance measures in cellular mobile networks with dynamic channel allocation, Telecommunication Systems 3 (1994) 129-163.","journal-title":"Telecommunication Systems"},{"key":"390232_CR32","first-page":"147","volume-title":"Performance' 84","author":"E. Pinsky","year":"1984","unstructured":"E. Pinsky and Y. Yemeni, A statistical mechanics of some interconnection networks, in: Performance' 84, ed. E. Gelenbe (Elsevier\/North-Holland, Amsterdam, 1984) pp. 147-158."},{"key":"390232_CR33","volume-title":"Multiservice Loss Models for Broadband Telecommunication Networks","author":"K.W. Ross","year":"1994","unstructured":"K.W. Ross, Multiservice Loss Models for Broadband Telecommunication Networks (Springer, Berlin, 1994)."},{"key":"390232_CR34","volume-title":"A guide to RINGNET","author":"D. Singer","year":"1993","unstructured":"D. Singer, A guide to RINGNET, Mathematics Department, The University of Queensland (1993)."},{"key":"390232_CR35","doi-asserted-by":"crossref","first-page":"1807","DOI":"10.1002\/j.1538-7305.1985.tb00038.x","volume":"64","author":"W. Whitt","year":"1985","unstructured":"W. Whitt, Blocking when service is required from several facilities simultaneously, AT&T Technical Journal 64 (1985) 1807-1856.","journal-title":"AT&T Technical Journal"},{"key":"390232_CR36","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1016\/0304-4149(85)90213-3","volume":"20","author":"S. Zachary","year":"1985","unstructured":"S. Zachary, Bounded, attractive and repulsive Markov specifications on trees and on the one-dimensional lattice, Stochastic Processes and their Applications 20 (1985) 247-256.","journal-title":"Stochastic Processes and their Applications"},{"key":"390232_CR37","doi-asserted-by":"crossref","first-page":"403","DOI":"10.1239\/jap\/1032374461","volume":"36","author":"S. Zachary","year":"1999","unstructured":"S. Zachary and I. Ziedins, Loss networks and Markov random fields, Journal of Applied Probability 36 (1999) 403-414.","journal-title":"Journal of Applied Probability"},{"key":"390232_CR38","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1017\/S0269964800004435","volume":"10","author":"I. Ziedins","year":"1996","unstructured":"I. Ziedins, Optimal admission controls for Erlang's loss system with phase-type arrivals, Probability in the Engineering and Informational Sciences 10 (1996) 397-414.","journal-title":"Probability in the Engineering and Informational Sciences"},{"key":"390232_CR39","doi-asserted-by":"crossref","first-page":"804","DOI":"10.2307\/1427768","volume":"21","author":"I.B. Ziedins","year":"1989","unstructured":"I.B. Ziedins and F.P. Kelly, Limit theorems for loss networks with diverse routing, Advances in Applied Probability 21 (1989) 804-830.","journal-title":"Advances in Applied Probability"}],"container-title":["Telecommunication Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1013394009996.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1013394009996\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1013394009996.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,8]],"date-time":"2025-08-08T06:42:57Z","timestamp":1754635377000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1013394009996"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,2]]},"references-count":39,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2002,2]]}},"alternative-id":["390232"],"URL":"https:\/\/doi.org\/10.1023\/a:1013394009996","relation":{},"ISSN":["1018-4864","1572-9451"],"issn-type":[{"type":"print","value":"1018-4864"},{"type":"electronic","value":"1572-9451"}],"subject":[],"published":{"date-parts":[[2002,2]]}}}