Consider a uid queue fed by N on/oo sources. It is assumed that the silence periods of the sources are exponentially distributed, whereas the activity periods are generally distributed. The innow rate of each source, when active, is at least as large as the outtow rate of the buuer. We make two contributions to the performance analysis of this model. Firstly, we determine the Laplace-Stieltjes ...

We consider the busy period in the GI/M/1 queue with multiple exponential vacations. We derive the transform of the joint distribution of the length of a busy period, the number of customers served during the busy period, and the residual interarrival time at the instant the busy period ends.

In this paper, we study the transient behavior of a state dependent M/M/1/K queue during the busy period. We derive in closed-form the joint transform of the length of the busy period, the number of customers served during the busy period, and the number of losses during the busy period. For two special cases called the threshold policy and the static policy we determine simple expressions for ...

Analysis of Idle and busy period of any communication system gives the overall information about system behavior when system is empty and data present in the system. In this paper we use a queueing theory approach to model the system with two class data traffic. we develop and analyze the idle and busy period of two class data traffic through queueing system using Markov chain. We also develop ...

In this paper, we study the transient behavior of a level dependent PH/PH/1/K queue during the busy period. We derive in closed-form the joint transform of the length of the busy period, the number of customers served during the busy period, and the number of losses during the busy period. We differentiate between two types of losses: the overflow losses that are due to a full queue and the los...