ABSTRACT

This book deals with Markov chains and Markov renewal processes (M/G/1 type). It discusses numerical difficulties which are apparently inherent in the classical analysis of a variety of stochastic models by methods of complex analysis.

1. The M/G/1 Queue and Some of Its Variants 2. Markov Chains of M/G/1 Type 3. Positive Recurrence 4. Applications to Queues with Poisson Arrivals 5. Versatile Arrival Processes 6. Selected Special Models