Abstract
We consider a single circuit-switched communication link, depicted by a Erlang multi-class loss queue, where a customer may vary its required bandwidth during its service. We obtain approximately the steady-state blocking probability of each class of customer. Comparisons with simulation results show that the approximation solution has a good accuracy. For the proposed model, we also provide an efficient capacity provisioning algorithm.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Alnowibet, K.: Ph.D Dissertaion, North Carolina State University Nonstationary Erlang Loss Queues and Networks (2004)
Grassmann, W.K.: Is the Fact That the Emperor Wears No Clothes a Subject Worthy of Publication? Interfaces 16, 43–46 (1986)
Hampshire, R.C., Massey, W.A., Mitra, D., Wang, Q.: Provisioning For Bandwidth Sharing and Exchange. In: Hampshire, R.C., Massey, W.A., Mitra, D., Wang, Q. (eds.) Oper. Res./Comput. Sci. Interfaces Ser, vol. 23, Kluwer Academic Publishers, Boston (2003)
Kaufman, J.: Blocking in a Shared Resource Environment. IEEE Transactions On Communications COM-29(10) (1981)
Kelly, F.: Blocking probabilities in large circuit-switched networks. Adv. Appl. Prob. 18, 473–505 (1986)
Nilsson, A.A., Perry, M.J., Gersht, A., Iversen, V.B.: On multi-rate Erlang-B computations. In: Proceedings of ITC 16, pp. 1051–1060 (1999)
Perros, H.: Connection-Oriented Networks: SONET/SDH, ATM, MPLS and Optical Networks. John Wiley & Sons, England (2005)
Roberts, J.W.: A serverice system with heterogeneous user requirements. In: Performance of Data Communications Systems and Their Applications, pp. 423–431 (1981)
Ross, K.W.: Multiservice Loss Models for Broadband Telecommunication Networks. Springer, London (1995)
Sarkar, D., Jewell, T., Ramakrishnan, S.: Convergence in the Calculation of the Handoff Arrival Rate: A Log-Time Iterative Algorithm, EURASIP Journal on Wireless (2006)
Washington, A.N., Perros, H.G.: Call blocking probabilities in a traffic groomed tandem optical network. Special issue dedicated to the memory of Professor Olga Casals, Blondia, Stavrakakis (eds.) Journal of Computer Networks 45 (2004)
ITU-T G.7042/Y. 1035, Link Capacity Adjustment Scheme (LCAS) for Virtual Concatenated Signals (January 2006)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Tian, W., Perros, H. (2007). Analysis and Provisioning of a Circuit-Switched Link with Variable-Demand Customers. In: Mason, L., Drwiega, T., Yan, J. (eds) Managing Traffic Performance in Converged Networks. ITC 2007. Lecture Notes in Computer Science, vol 4516. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72990-7_77
Download citation
DOI: https://doi.org/10.1007/978-3-540-72990-7_77
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72989-1
Online ISBN: 978-3-540-72990-7
eBook Packages: Computer ScienceComputer Science (R0)