Analysis of Queues

Analysis of queues is used in a variety of domains including call centers, web servers, internet routers, manufacturing and production, telecommunications, transportation, hospitals and clinics, restaurants, and theme parks. Combining elements of classical queueing theory with some of the recent advances in studying stochastic networks, this book covers a broad range of applications. It contains numerous real-world examples and industrial applications in all chapters. The text is suitable for graduate courses, as well as researchers, consultants and analysts that work on performance modeling or use queueing models as analysis tools.

Introduction. Exponential Interarrival and Service Times: Closed-Form Expressions. Exponential Interarrival and Service Times: Numerical Techniques and Approximations. General Interarrival and/or Service Times: Closed-Form Expressions and Approximations. Multiclass Queues under Various Service Disciplines.  Exact Results in Network of Queues: Product Form.  Approximations for General Queueing Networks. Fluid Models for Stability, Approximations, and Analysis of Time-Varying Queues. Stochastic Fluid-Flow Queues: Characteristics and Exact Analysis. Stochastic Fluid-Flow Queues: Bounds and Tail Asymptotics. Appendix A: Random Variables. Appendix B: Stochastic Processes. References. Index.