ANALYSIS OF THE ROLE OF CATASTROPHES AND FAILURE PROCESSES IN A MULTI – SERVER QUEUE

P. Swamynathan; G. Eswara Prasad; V. S. Mathu Suresh

Volume : IV, Issue : VIII, August - 2015

ANALYSIS OF THE ROLE OF CATASTROPHES AND FAILURE PROCESSES IN A MULTI – SERVER QUEUE

P. Swamynathan, G. Eswara Prasad, V. S. Mathu Suresh

Abstract :

A multi server Markovian queue with catastrophe and failure model is considered. Due to the occurrence of catastrophe in this system, all the units in the system are rejected as well as servers stop working. A repair process and the arrival of impatient units follow exponential distribution with different parameters. The mathematical expressions for the probability generating functions under the system is down and that is functioning are obtained mean size under the above conditions are derived.