Written with students and professors in mind, Analysis of Queues: Methods and Applications combines coverage of classical queueing theory with recent advances in studying stochastic networks. Exploring a broad range of applications, the book contains plenty of solved problems, exercises, case studies, paradoxes, and numerical examples.
In addition to the standard single-station and single class discrete queues, the book discusses models for multi-class queues and queueing networks as well as methods based on fluid scaling, stochastic fluid flows, continuous parameter Markov processes, and quasi-birth-and-death processes, to name a few. It describes a variety of applications including computer-communication networks, information systems, production operations, transportation, and service systems such as healthcare, call centers and restaurants.
Preface
Chapter 1 : Introduction
Chapter 2 : Exponential Interarrival and Service Times : Closed-Form Expressions
Chapter 3 : Exponential Interarrival and Service Times : Numerical Techniques and Approximations
Chapter 4 : General Interarrival and/or Service Times : Closed-Form Expressions and Approximations
Chapter 5 : Multiclass Queues under Various Service Disciplines
Chapter 6 : Exact Results in Network of Queues : Product Form
Chapter 7 : Approximations for General Queueing Networks
Chapter 8 : Fluid Models for Stability, Approximations, and Analysis of Time-Varying Queues
Chapter 9 : Stochastic Fluid-Flow Queues : Characteristics and Exact Analysis
Chapter 10 : Stochastic Fluid-Flow Queues : Bounds and Tail Asymptotics
Appendix A : Random Variables
Appendix B : Stochastic Processes
References
Index
