Abstract
The classical theory of multidimensional queueing systems is based on many assumptions, one of them is basic: one call—one channel. However, in modern integral (multiservice) communication networks, this assumption is not carried out. Thus, in them, for example, a video information requires the wider band in a digital transmission line than data or voice information. In the teletraffic theory the calls, requiring a large number of channels in a transmission line, are called wideband, and the calls that require a smaller number of channels—narrowband. As it was noted in the previous chapter, the multi-flow system, in which heterogeneous calls require for simultaneous maintenance a random number of channels, is called multi-rate queue (MRQ).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Akimura H, Kawashima M (2003) Teletraffic theory and applications. Springer, London
Andreadis A, Giambene G (2003) Protocols for high efficiency wireless networks. Kluwer, Boston
Basharin GP, Samouylov KE, Yarkina NV, Gudkova IA (2009) A new stage in mathematical teletraffic theory. Autom Rem Contr 70(12):1954–1964
Carvalho GHS, Martins VS, Frances CRL, Costa JCWA, Carvalho SV (2008) Performance analysis of multi-service wireless network: an approach integrating CAC, scheduling, and buffer management. Comput Electr Eng 34:346–356
Chen H, Huang L, Kumar S, Kuo CC (2004) Radio resource management for multimedia QoS supports in wireless networks. Kluwer, Boston
Daigle JN (2005) Queueing theory with applications to packet telecommunication. Springer, New York
Delaire M, Hebuterne G (1997) Call blocking in multi-services systems on one transmission link. In: Proceedings of 5th international workshop on performance model and evaluation of ATM networks, July, UK, pp 253–270
Delbrouck LEN (1983) On the steady-state distribution in a service facility carrying mixtures of traffic with different peakedness factors and capacity requirements. IEEE Trans Commun 31(11):1209–1211
Feng W, Kowada M (2008) Performance analysis of wireless mobile networks with queueing priority and guard channels. Int Trans Oper Res 15:481–508
Giambene G (2005) Queueing theory and telecommunications. Networks and applications. Springer, New York
Iversen VB (2010) Teletraffic engineering and network planning. Technical University of Denmark, Lyndby
Janevski T (2003) Traffic analysis and design of wireless IP networks. Artech House, Boston
Kaufman JS (1981) Blocking in shared resource environment. IEEE Trans Commun Technol 10(10):1474–1481
Kelly FP (1991) Loss networks. Ann Appl Probab 1(3):319–378
Kelly FP (1986) Blocking probabilities in large circuit-switched networks. Adv Appl Probab 18:477–505
Kim CS, Melikov AZ, Ponomarenko LA (2009) Numerical investigation of a multi-threshold access strategy in multi-service cellular wireless networks. Cybern Syst Anal 45(5):680–691
Kim CS, Melikov AZ, Ponomarenko LA, Baek JH (2011) An analytical approach for performance analysis of multi-service cellular wireless networks with a randomized access strategy. Appl Comput Math 10(3):529–538
Kolmogorov A (1936) Zum theorie der Markoffschen ketten. Mathematische Annalen B112:155–160
Lakatos L, Szeidl L, Telek M (2013) Introduction to queueing systems with telecommunication applications. Springer, London
Melikov AZ, Fattakhova MI, Babayev AT (2005) Investigation of cellular communication networks with private channels for service of handover calls. Automat Contr Comput Sci 39(3):61–69
Melikov AZ, Ponomarenko LA (2011) Multidimensional Erlang model with randomized call admission control strategy and its application in communication networks. Cybern Syst Anal 47(4):606–612
Melikov AZ, Ponomarenko LA (2013) Comment on “Probabilistic framework and performance evaluation for prioritized call admission control in next generation networks”. Comput Commun 36(3):360–361
Melikov AZ, Ponomarenko LA, Kim CS (2011) Multirate Erlang’s model with randomized access strategy and its application in multiservice communication networks. J Autom Inform Sci 43(2):23–38
Neimann VI (2009) Teletraffic and queueing theory. Autom Rem Contr 70(12):1965–1973
Ogbonmwan SE, Wei L (2006) Multi-threshold bandwidth reservation scheme of integrated voice/data wireless networks. Comput Commun 29(9):1504–1515
Oh Y, Kim CS, Melikov AZ, Fattakhova MI (2010) Numerical analysis of multi-parameter strategy of access in multi-service cellular communication networks. Autom Rem Contr 71(12):2558–2572
Ponomarenko L, Kim CS, Melikov A (2010) Performance analysis and optimization of multi-traffic on communication networks. Springer, Heidelberg
Pioro M, Lubacs J, Korner U (1990) Traffic engineering problems in multi-service circuit-switched networks. Comput Netw ISDN Syst 20(1–5):127–136
Roberts JW (1981) A service system with heterogeneous user requirements application to multi-service telecommunication systems. In: Pujolle G (ed) Performance of data communication systems and their application. North Holland, Amsterdam, pp 423–431
Ross KW (1995) Multi-service loss models for broadband telecommunication networks. Springer, New York
Stasiak M, Glabowski M, Wishniewski A, Zwierzykowski P (2011) Modeling and dimensioning of mobile networks. From GSM to LTE. Wiley, Chichester
Tsiropoulos GI, Stratogiannis DG, Kanellopoulos SD, Cottis PG (2011) Probabilistic framework and performance evaluation for prioritized call admission control in next generation networks. Comput Commun 34:1045–1054
Yue W, Matsumoto Y (2002) Performance analysis of multi-channel and multi-traffic on wireless communication networks. Kluwer, Boston
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Melikov, A., Ponomarenko, L. (2014). Analytical Methods for Analysis of Integral Cellular Networks. In: Multidimensional Queueing Models in Telecommunication Networks. Springer, Cham. https://doi.org/10.1007/978-3-319-08669-9_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-08669-9_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-08668-2
Online ISBN: 978-3-319-08669-9
eBook Packages: Computer ScienceComputer Science (R0)