Analysis of Queues: Methods and Applications [Paperback]

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.

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.

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 wls'