Stochastic Networks and Queues (Hardcover)

1. Point Processes.- 2. GI/GI/1 FIFO Queues and Random Walks.- 3. Limit Theorems for GI/GI/1 Queues.- 4. Stochastic Networks and Reversibility.- 5. The M/M/1 Queue.- 6. The M/M/? Queue.- 7. Queues with Poisson Arrivals.- 8. Recurrence and Transience of Markov Chains.- 9. Resealed Markov Processes and Fluid Limits.- 10. Ergodic Theory: Basic Results.- 11. Stationary Point Processes.- 12. The G/G/1 FIFO Queue.- A. Martingales.- A.1 Discrete Time Parameter Martingales.- A.2 Continuous Time Martingales.- A.3 The Stochastic Integral for a Poisson Process.- A.4 Stochastic Differential Equations with Jumps.- B. Markovian Jump Processes.- B.2 Global Balance Equations.- B.3 The Associated Martingales.- C. Convergence in Distribution.- C.1 Total Variation Norm on Probability Distributions.- C.2 Convergence of Stochastic Processes.- D. An Introduction to Skorohod Problems.- D.1 Dimension 1.- D.2 Multi-Dimensional Skorohod Problems.- References.- Research Papers.