Markov modulated periodic arrival process offered to an ATM multiplexer
Akar Nail, Arikan Erdal
IEEE Global Telecommunications Conference
Publ by IEEE, Piscataway, NJ, United States
783 - 787
MetadataShow full item record
Please cite this item using this persistent URLhttp://hdl.handle.net/11693/27802
When a superposition of on/off sources is offered to a deterministic server, a particular queueing system arises whose analysis has a significant role in ATM based networks. Periodic cell generation during active times is a major feature of these sources. In this paper a new analytical method is provided to solve for this queueing system via an approximation to the transient behavior of the nD/D/1 queue. The solution to the queue length distribution is given in terms of a solution to a linear differential equation with variable coefficients. The technique proposed here has close similarities with the fluid flow approximations and is amenable to extension for more complicated queueing systems with such correlated arrival processes. A numerical example for a packetized voice multiplexer is finally given to demonstrate our results.
Showing items related by title, author, creator and subject.
Serel, D. A. (Elsevier, 2009)For monitoring the stability of a process, various control charts based on exponentially weighted moving average (EWMA) statistics have been proposed in the literature. We study the economic design of EWMA-based mean and ...
Aktürk, M. S.; Avcı, S. (Springer-Verlag, 1996)In view of the high investment and tooling cost of a CNC machining centre, the cutting and idle times should be optimised by considering the tool consumption and the non-machining time cost components. In this paper, we ...
Şaykol, E.; Sinop, A. K.; Güdükbay, U.; Ulusoy, Ö.; Çetin, A. E. (IEEE, 2004)There is an accelerating demand to access the visual content of documents stored in historical and cultural archives. Availability of electronic imaging tools and effective image processing techniques makes it feasible to ...