Abstract
Models of multirate systems in which inelastic and elastic calls (ie-calls and e-calls, respectively) are jointly serviced are investigated. It is assumed that through the entire service period the iecalls simultaneously occupy b ≥ 1 channels of the system, moreover, all the channels begin and complete servicing of the same ie-call simultaneously. The elastic calls simultaneously occupy m channels, m ≤ m ≤ \(\bar m\), where m and \(\bar m\) are specified quantities, with the service rate being proportional to the number of channels busy servicing e-calls. Models with continuous and discrete band for servicing e-calls are investigated in detail. Effective numerical algorithms for calculating the characteristics of the models are developed and results of computational experiments are presented.
Similar content being viewed by others
References
Kelly, F.P., Loss Networks, Ann. Appl. Prob., 1991, vol. 1, no. 3, pp. 319–378.
Ross, K.W., Multiservice Loss Models for Broadband Telecommunications Networks, New York: Springer-Verlag, 1995.
Gazdziki, P., Lambadaris, I., and Mazumdar, R., Blocking Probabilities for Large Multirate Erlang Loss System, Adv. Appl. Prob., 1993, vol. 25, pp. 997–1009.
Mitra, D., Morrison, J.A., and Ramakrishnan, ATM Network Design and Optimization: A Multirate Loss Network Framework, IEEE/ASM Trans. Networking, 1996, vol. 4, pp. 531–543.
Melikov, A.Z., Computation and Optimization Methods for Multiresource Queues, Cybernetics Syst. Anal., 1996, vol. 32, no. 6, pp. 821–836.
ISO/IEC JTC1/SC29/WG11, Generic Coding of Moving Pictures and Associated Audio Information, ISO/IEC International Standard 13818, November, 1994.
ISO/IEC JTC1/SC29/WG11, JPEG2000. Part 1. Final Committee Draft Version 1, ISO/IEC International Standard N1646, March, 2000.
ISO/IEC JTC1/SC29/WG11, Overview of the MPEG-4 Standard, ISO/IEC International Standard N3747, October, 2000.
Chen, H., Huang, L., Kumar, S., and Kuo, J.C., Radio Resource Management for Multimedia QoS Support in Wireless Networks, New York: Kluwer Academic, 2004.
Zhang, Y. and Soong, B.-H., Performance Evolution of GSM/GPRS Networks with Channels Reallocation Scheme, IEEE Comm. Lett., 2004, vol. 8, no. 5, pp. 280–282.
Zhang, Y., Soong, B.-H., and Ma, M., A Dynamic Channel Assignment Scheme for Voice/Data Integration in GPRS Networks, Comp. Comm., 2006, vol. 29, no. 8, pp. 1163–1173.
Melikov, A.Z. and Babayev, A.T., Refined Approximations for Performance Analysis and Optimization of Queueing Model with Guard Channels for Handovers in Cellular Networks, Comput. Comm., 2006, vol. 29, no. 9, pp. 1386–1392.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.Z. Melikov, F.N. Nagiev, T.S. Kaziev, 2007, published in Avtomatika i Vychislitel’naya Tekhnika, 2007, No. 4, pp. 36–50.
About this article
Cite this article
Melikov, A.Z., Nagiev, F.N. & Kaziev, T.S. Approximate calculation of the characteristics of multirate systems with inelastic and elastic calls. Aut. Conrol Comp. Sci. 41, 203–214 (2007). https://doi.org/10.3103/S0146411607040049
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.3103/S0146411607040049