Abstract
In this paper we propose a new approximate method of effective availability for calculating the probability of point-to-group blocking in multi-stage switching networks with unicast and multicast connections. The results of analytical calculations of the probability of blocking are compared with the results of discrete events simulations of the switching network with multicast and unicast connections. The present analytical study has confirmed the correctness of all theoretical assumptions and fair accuracy of the analytical method proposed.
This work was supported by the Polish Committee for Scientific Research Grant 4 T11D 020 22 under Contract No 1551/T11/2002/22
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References
Listani, M., Veltri, L.: Blocking probability of 3-stage multicast switches. In: Proc. of IEEE International Conference on Communications, S18.P.1–S18.P.7 (1998)
Jacobaeus, C.: A study on congestion in link-systems. Ericsson Technics (48), 1–68 (1950)
Yang, Y., Wang, J.: A more accurate analytical model on blocking probability of multicast networks. IEEE Transactions on Communications 48, 1930–1936 (2000)
Lee, C.Y.: Analysis of switching networks. Bell Systems Technical Jornal 34, 1287–1315 (1955)
Yang, Y., Masson, M.: Nonblocking broadcast switching network. IEEE Transactions on Computers 40, 1005–1015 (1991)
Kabaciski, W., Danilewicz, G.: Wide sense nonblocking 3-stage multirate Clos switching networks with multicast connections - new upper bounds. In: Proceedings of 3rd IEEE International Workshop on Broadband Switching Systems, Kingston, Ontario, Canada, pp. 75–79 (1999)
Bininda, N., Wendt, W.: Die effektive Erreichbarkeit fr Abnehmerbundel hinter Zwischenleitungsanungen. Nachrichtentechnische Zeitschricht 11, 579–585 (1959)
Charkiewicz, A.D.: An approximate method for calculating the number of junctions in crossbar system exchange. Elektrosvyaz 2, 55–63 (1959)
Lotze, A.: Bericht uber verkehrtheoretische untersuchungen CIRB. Inst. fur nachrichtenvermittlung und datenverarbeitung der technischen hochschule, Univ. of Stuttgart 2, 1–42 (1963)
Ershova, E.B., Ershov, V.A.: Cifrowyje sistiemy raspriedielenia informacji. Radio i swiaz, Moskwa (1983)
Stasiak, M., Zwierzykowski, P.: Point-to-group blocking in the switching networks with unicast and multicast switching. Performance Evaluation 48, 249–267 (2002)
Stasiak, M., Hanczewski, S.: Blocking Probability in the 3-stage Switching Neworks with Multicast Traffic Streams. In: Proceedings of 3rd International Conference on Networking, Gosier, Guadelupe. vol. 1, pp. 265–269 (2004)
Stasiak, M.: Blocking probability in a limited-availability group carrying mixture of different multichannel traffic streams. Ann. des Télécomm 48, 71–76 (1993)
Beshai, M., Manfield, D.: Multichannel services performance of switching networks. In: Proc. 12th ITC, Torino, Italy, p.5.1A.7 (1988)
Stasiak, M.: An approximate model of a switching network carrying mixture of different multichannel traffic streams. IEEE Trans. on Commun. 41, 836–840 (1993)
Ross, K.: Multiservice Loss Models for Broadband Telecommunication Network. Springer Verlag, London, UK (1995)
Fortet, R., Grandjean, C.: Congestion in a loss system when some calls want several devices simultaneously. Electrical Communications 39, 513–526 (1964)
Kaufman, J.: Blocking in a shared resource environment. IEEE Transactions on Communications 29, 1474–1481 (1981)
Roberts, J.: A service system with heterogeneous user requirements — application to multi-service telecommunications systems. In: Pujolle, G. (ed.) Proceedings of Performance of Data Communications Systems and their Applications, Amsterdam, Holland, North Holland, pp. 423–431 (1981)
Brockmeyer, E., Halstrom, H., Jensen, A.: The life and works of A. K. Erlang. Acta Polytechnica Scandinavica (287) (1960)
Stasiak, M.: Blocage interne point a point dans les reseaux de connexion. Ann. des Télécomm. 43, 561–575 (1988)
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Hanczewski, S., Stasiak, M. (2004). Point-to-Group Blocking in 3-Stage Switching Networks with Multicast Traffic Streams. In: Dini, P., Lorenz, P., de Souza, J.N. (eds) Service Assurance with Partial and Intermittent Resources. SAPIR 2004. Lecture Notes in Computer Science, vol 3126. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27767-5_22
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DOI: https://doi.org/10.1007/978-3-540-27767-5_22
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