Abstract
The paper presents a new method for modeling systems with reservation. The method is based on the generalized ideal grading model servicing multi-rate traffic. The paper proposes an algorithm for determining such an availability value in the ideal grading that causes blocking equalization of different classes of calls. The proposed method was worked out for integer and non-integer values of the availability parameters. A comparison of the analytical results with the simulation data proves high accuracy of the proposed method.
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References
Brockmeyer, E., Halstrom, H., Jensen, A.: The life and works of A. K. Erlang. Acta Polytechnica Scandinavica 287 (1960)
Lotze, A.: History and development of grading theory. In: 5th International Teletraffic Congress, New York, pp. 148–161 (1967)
Ershova, E.B., Ershov, V.A.: Cifrowyje sistiemy raspriedielenia informacji. Radio i swiaz, Moscow (1983) (in Russian)
Stasiak, M.: Blocage interne point a point dans les reseaux de connexion. Ann. Telecommun. 43, 561–575 (1988)
Hanczewski, S., Stasiak, M.: Point-to-group blocking in 3-stage switching networks with multicast traffic streams. In: Dini, P., Lorenz, P., de Souza, J.N. (eds.) SAPIR 2004. LNCS, vol. 3126, pp. 219–230. Springer, Heidelberg (2004)
Kaufman, J.S.: Blocking in shared resource environment. IEEE Transactions on Communications 29, 1474–1481 (1981)
Roberts, J.W.: A service system with heterogeneous user requirements. Performance of data communications systems and their applications. Nort Holland Pub. Co., Amsterdam (1981)
Stasiak, M.: An approximate model of a switching network carrying mixture of different multichannel traffic streams. IEEE Transactions on Communications 41, 836–840 (1993)
Beshai, M., Manfield, D.: Multichannel services performance of switching networks. In: 12th International Teletraffic Congress, Torino, Italy, pp. 857–864 (1988)
Stasiak, M.: Blocking probability in a limited-availability group carrying mixture of different multichannel traffic streams. Annals of Telecommunications 48, 71–76 (1993)
Stasiak, M., Glabowski, M.: A simple approximation of the link model with reservation by a one-dimensional Markov chain. Journal of Performance Evaluation 41, 195–208 (2000)
Roberts, J.W., Mocci, V., Virtamo, I. (eds.): Broadband Network Teletraffic. Final Report of Action COST 242. Commission of the European Communities. Springer, Heidelberg (1996)
Roberts, J.W. (ed.): Performance Evaluation and Design of Multiservice Networks. Final Report COST 224. Commission of the European Communities (1992)
Roberts, J.W.: Teletraffic models for the Telcom 1 integrated services network. In: 10th International Teletraffic Congress, Montreal, Canada, p. 1.1.2 (1983)
Tran-Gia, P., Hubner, F.: An analysis of trunk reservation and grade of service balancing mechanisms in multiservice broadband networks. In: International Teletraffic Congress Seminar: Modeling and Performance evaluation of ATM technology, La Martynique, pp. 83–97 (1993)
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Stasiak, M., Hanczewski, S. (2008). Approximation for Multi-service Systems with Reservation by Systems with Limited-Availability. In: Thomas, N., Juiz, C. (eds) Computer Performance Engineering. EPEW 2008. Lecture Notes in Computer Science, vol 5261. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87412-6_19
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DOI: https://doi.org/10.1007/978-3-540-87412-6_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-87411-9
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