Advanced SearchSearch Tips
Markov Modeling of Multiclass Loss Systems
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Markov Modeling of Multiclass Loss Systems
Na, Seong-Ryong;
  PDF(new window)
This paper studies the Markov modeling of multiclass loss systems supporting several kinds of customers. The concept of unit for loss systems is introduced and the method of equal probability allocation among units is especially considered. Equilibrium equations and limiting distribution of the loss systems are studied and loss probabilities are computed. We analyze an example of a simple system to gain an insight about general systems.
Multiclass;Loss system;Markov process;Unit;Equal probability allocation;Loss probability;
 Cited by
Numerical Iteration for Stationary Probabilities of Markov Chains,;

Communications for Statistical Applications and Methods, 2014. vol.21. 6, pp.513-520 crossref(new window)
여러 서버배정방식의 멀티클래스 손실시스템 연구,나성룡;

응용통계연구, 2016. vol.29. 4, pp.679-688 crossref(new window)
Numerical Iteration for Stationary Probabilities of Markov Chains, Communications for Statistical Applications and Methods, 2014, 21, 6, 513  crossref(new windwow)
Multiclass loss systems with several server allocation methods, Korean Journal of Applied Statistics, 2016, 29, 4, 679  crossref(new windwow)
Kelly, F. P. (1979). Reversibility and Stochastic Networks, Wiley.

Kelly, F. P. (1991). Loss networks, Annals of Applied Probability, 1, 319-378. crossref(new window)

Koo, I., Yang, J., Ahmad, A. and Kim, K. (2002). Erlang capacity analysis of hybrid FDMA/CDMA systems supporting multi-class services according to channel assignment methods, International Journal of Communication Systems, 15, 867-880. crossref(new window)

Koo, I., Yang, J. and Kim, K. (2000). Analysis of Erlang capacity for DS-CDMA systems supporting multi-class services with the limited number of channel elements, In Proceedings of IEEE Conference on Wireless Communications and Networking 2000, USA, 355-359.

Lee, J., Na, S., Choi, Y. and Lim, S. (2002). Performance analysis on channel distribution algorithm of selector in CDMA2000 1x system, In Proceedings of Korea Information and Communications Society, summer 2002.

Medhi, J. (2003). Stochastic Models in Queueing Theory, (2nd ed.), Academic Press.

Na, S. (2006). Exact performance evaluation of multi-class loss systems with applications to telecommunications networks, Telecommunications Review, 16, 1084-1091.

Ross, K. W. (1995). Multiclass Loss Models for Broadband Telecommunication Networks, Springer.

Rubinstein, Y. R. (1981). Simulation and the Monte Carlo Method, Wiley.

Wolff, R. W. (1989). Stochastic Modelling and the Theory of Queues, Prentice Hall.