Abstract
Our results thus show that the theory ofM/G/1 queues with waiting time bounded by an exponential random variable can be developed to the level of the theory for queues with unbounded time. In particular, analytical methods can be applied to analyze queueing systems with several incoming streams of different types and different queueing disciplines. This involves solving systems of integral equations of the form (9). Examples of this kind for systems with preemptive and non-preemptive disciplines have been considered in [18, 19, 22]. Also note that the methods of this artine can be applied also to study more general systems, in which the service time and the interarrival time are bounded by Erlang random variables.
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