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This article presents an approximate method of blocking probability calculations in a switching node of virtual circuit networks carrying a mixture of different traffic streams, including multicast traffic. This mixture can be composed of an arbitrary number of unicast and multicast traffic classes generated by a finite population of two-state sources (pseudo-random traffic). It is assumed that outgoing directions node consist of links of various capacities. Hence, the model enables calculations of blocking probabilities for calls of all traffic classes for any structure of the groups forming the outgoing directions. The proposed method is based on an approximation of the service process occurring in outgoing directions by appropriately constructed one-dimensional Markov chain. The analytical results of the blocking probabilities in sample switching nodes are compared with the simulation results.
Czasopismo
Rocznik
Tom
Strony
127--134
Opis fizyczny
Bibliogr. 19 poz., rys., wykr.
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autor
autor
autor
- Poznań University of Technology ul. Piotrowo 3A, 60-965 Poznań, Poland, mglabows@et.put.poznan.pl
Bibliografia
- [1] Akimuru H., Kawashima K., Teletraffic: Theory and Application, Springer, 1993.
- [2] Choudhury G., Leung K., Whitt W., An inversion algorithm to compute blocking probabilities in loss networks with state-dependent rates, IEEE/ACM Trans. Networking, Vol. 3, 1995, pp. 585-601.
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- [6] Głąbowski M., Stasiak M., Zwierzykowski P., Model of ATM node with multicast switching and reservation, Proc. IEEE Int. Conf. Telecommunications, Vol. 2, Cheju, 1999, pp. 200-204.
- [7] Głąbowski M., Stasiak M. Zwierzykowski P., Multicast connections in a virtual circuit switching node, Proc. Advanced Industrial Conf. Telecommunications (A-ICT), Lisbon, 2005, pp. 146-151.
- [8] Heyman D., LakshmanT., Neidhardt A., A new method for analyzing feedback based protocols with applications to engineering Web traffic over the Internet, Computer Communications, Vol. 26 (2003), No. 8, pp. 785-803.
- [9] Iversen V., (ed.), Teletraffic Engineering Handbook. Geneva: ITU-D, Study Group 2. Question 16/2. 2003.
- [10] Kaufman L, Blocking in a shared resource environment, IEEE Trans. Commun., Vol. 29, No. 10, 1981, pp. 1474-1481.
- [11] Kelly F., Loss networks. The Annals of Applied Probability, Vol. 1, No. 3, 1991, pp. 319-378.
- [12] Kogan Y., Shenfild M., Asymptotic solution of generalized multiclass Engset model, Proc. 14th Int. Teletraffic Congress, Vol. 1b, Antibes Juan-les-Pins, Elsevier, 1994, pp. 1239-1249.
- [13] Moscholios I., Logothetis M., Kokkinakis G., Connection-dependent threshold model: a generalization of the Erlang multiple rate loss model, Performance Evaluation, Vol. 48, 2002, pp. 177-200.
- [14] Roberts J., Teletraffic models for the Telcom 1 integrated services network, Proc. 10th Int. Teletraffic Congress, Montreal, 1983. p. 1.1.2.
- [15] Roberts J., Mocci V., Virtamo I. (eds.), Broadband Network Teletraffic, Final Report of Action COST 242 Springer. 1996.
- [16] Ross K., Multiservice Loss Models for Broadband Telecommunication Network, Springer, 1995.
- [17] Stasiak M., An approximate model of a switching network carrying mixture of different multichannel traffic streams, IEEE Trans. Communications, Vol. 41, No. 6, 1993, pp. 836-840.
- [18] Stasiak M., Zwierzykowski P., Analytical model of ATM node with multicast switching, Proc. Mediterranean Electrotechnical Conf. (MeleCon ‘99), Tel-Aviv, Vol. 2, 1999, pp. 683-687.
- [19] Yang Y., Wang J., A more accurate analytical model on blocking probability of multicast networks. IEEE Trans. Communications, Vol. 48, No. 11, 2000, pp. 1930-1936.
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Bibliografia
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bwmeta1.element.baztech-article-BAT5-0027-0080