On the workload process in a fluid queue with bursty input and selective discarding
Teletraffic Engineering in the Internet EraProceedings of the International Teletraffic Congress - ITC-I7, volume 4 of Teletraffic Science and Engineering, Elsevier, (2001)DOI: http://dx.doi.org/10.1016/S1388-3437(01)80167-0
Abstract
In this paper we analyse a finite buffer fluid queue with an on-off Markov Modulated Fluid Process (MMFP) as the arrival process. We call each on-period of the arrival process a message/burst. The queue incorporates a threshold message discarding policy. We work within the framework of Poisson Counter Driven Stochastic Differential equations and obtain the moment generating function and hence the probability density function of the stationary workload process. We then comment on the stability of this fluid queue.