Analysis of Queues Methods and Applications [Hardcover]

Written with students and professors in mind, Analysis of Queues: Methods and Applicationscombines 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
Analysis of Queues: Where, What, and How?
Systems Analysis: Key Results
Queueing Fundamentals and Notations
Psychology in Queueing
Reference Notes
Exercises

Exponential Interarrival and Service Times: Closed-Form Expressions
Solving Balance Equations via Arc Cuts
Solving Balance Equations Using Generating Functions
Solving Balance Equations Using Reversibility
Reference Notes
Exercises

Exponential Interarrival and Service Times: Numerical Techniques and Approximations
Multidimensional Birth and Death Chains
Multidimensional Markov Chains
Finite-State Markov Chains
Reference Notes
Exercises

General Interarrival and/or Service Times: Closed-Form Expressions and Approximations
Analyzing Queues Using Discrete Time Markov Chains
Mean Value Analysis
Bounds and Approximations for General Queues
Matrix Geomel3Ê