Introduction Analysis of Queues: Where, What, and How?Systems Analysis: Key ResultsQueueing Fundamentals and Notations Psychology in Queueing Reference Notes Exercises Exponential Interarrival and Service Times: Closed-Form Expressions Solving Balance Equations via Arc CutsSolving Balance Equations Using Generating Functions Solving Balance Equations Using Reversibility Reference Notes ExercisesExponentialRead more... Abstract: Introduction Analysis of Queues: Where, What, and How?Systems Analysis: Key ResultsQueueing Fundamentals and Notations Psychology in Queueing Reference Notes Exercises Exponential Interarrival and Service Times: Closed-Form Expressions Solving Balance Equations via Arc CutsSolving Balance Equations Using Generating Functions Solving Balance Equations Using Reversibility Reference Notes ExercisesExponential Interarrival and Service Times: Numerical Techniques and Approximations Multidimensional Birth and Death ChainsMultidimensional Markov Chains Finite-State Markov ChainsReference Notes Exerci Introduction Analysis of Queues: Where, What, and How?Systems Analysis: Key ResultsQueueing Fundamentals and Notations Psychology in Queueing Reference Notes Exercises Exponential Interarrival and Service Times: Closed-Form Expressions Solving Balance Equations via Arc CutsSolving Balance Equations Using Generating Functions Solving Balance Equations Using Reversibility Reference Notes ExercisesExponential Interarrival and Service Times: Numerical Techniques and Approximations Multidimensional Birth and Death ChainsMultidimensional Markov Chains Finite-State Markov ChainsReference 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 Geometric Methods for G/G/s Queues Other General Queues but with Exact Results Reference Notes Exercises Multiclass Queues under Various Service Disciplines IntroductionEvaluating Policies for Classification Based on Types: Priorities Evaluating Policies for Classification Based on Location: Polling Models Evaluating Policies for Classification Based on Knowledge of Service Times Optimal Service-Scheduling Policies Reference Notes Exercises Exact Results in Network of Queues: Product Form Acyclic Queueing Networks with Poisson Flows Open Jackson Networks Closed Jackson NetworksOther Product-Form Networks Reference Notes Exercises Approximations for General Queueing NetworksSingle-Server and Single-Class General Queueing Networks Multiclass and Multiserver Open Queueing Networks with FCFS Multiclass and Single-Server Open Queueing Networks with PrioritiesReference Notes Exercises Fluid Models for Stability, Approximations, and Analysis of Time-Varying QueuesDeterministic Fluid Queues: An Introduction Fluid Models for Stability Analysis of Queueing Front Cover Dedication Contents Preface Acknowledgments Author List of Case Studies List of Paradoxes 1. Introduction 2. Exponential Interarrival and Service Times: Closed-Form Expressions 3. Exponential Interarrival and Service Times: Numerical Techniques and Approximations 4. General Interarrival and/or Service Times: Closed-Form Expressions and Approximations 5. Multiclass Queues under Various Service Disciplines 6. Exact Results in Network of Queues:Product Form 7. Approximations for General Queueing Networks 8. Fluid Models for Stability, Approximations, and Analysis of Time-Varying Queues9. Stochastic Fluid-Flow Queues: Characteristics and Exact Analysis 10. Stochastic Fluid-Flow Queues: Bounds and Tail Asymptotics Appendix A: Random Variables Appendix B: Stochastic Processes References "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"-- Provided by publisher 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 t
