Stationary Analysis of an M / M / 1 Driven Fluid Queue Subject to Catastrophes and Subsequent Repair

Fluid models are appropriate in the field of telecommunication for modelling the network traffic where individual units of arrival have less impact on the performance of the network. Such models characterize the traffic as a continuous stream with a parameterized flow rate. For practical design and performance evaluation, it is essential to obtain information about the buffer occupancy distribution. In this paper, we analyze a fluid queue modulated by a single server queueing model subject to catastrophes under steady state conditions. Explicit analytical expression for the joint distribution of the state of the background queueing model and the content of the buffer is presented. A closed form expression for the buffer occupancy distribution is obtained using continued fraction methodology in the transformed domain.