Elements Of Queueing Theory

This book gives the mathematical foundations of the theory of stationary queueing systems. In particular, it contains a thorough treatment of the Palm theory and of the Loynes theory of stationary systems, the two pillars of the modern approach to queuing. Several other mathematical tools, which are useful within this approach, are also presented such as the martingale calculus for point processes or stochastic ordering for stationary recurrences. This thoroughly revised second edition contains a substantial number of additions with the aim of rendering this now classic reference suitable for use as a textbook. In particular, exercises and their solutions have been added.