Analysis of single server queueing systems with vacation periods

Abstract

For an M/G/1-type queueing system with a different service time distribution for the first customer served in a busy period, we consider two types of vacation policies for the removable server and investigate the transient and steady-state behaviour of the waiting time process for the FIFO discipline. We then extend the steady-state analysis to the case where the server applies a combination of a vacation policy and the (0,k)-policy.