• A SINGLE SERVER M/G/1 QUEUE WITH SERVICE INTERRUPTION AND BERNOULLI SCHEDULE SERVER VACATION HAVING GENERAL VACATION TIME DISTRIBUTION

Abstract

This paper studies an M/G/1 queue with service interruption and Bernoulli schedule server vacation. The server provides essential service to all arriving customers with service time following general distribution. However after a service completion, the server may take a vacation with probability p, or to continue to stay in the system with probability 1 − p. We consider a general distribution for vacation time. The server is interrupted at random and the duration of attending interruption follows exponential distribution. The steady state solutions have been found by using Supplementary variables technique. Also the mean queue length and the mean waiting time are computed.