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Analysis of Queues : Methods and Applications

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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 Read 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

Author(s): Gautam, Natarajan
Series: Operations research series
Publisher: CRC Press
Year: 2012

Language: English
Pages: 788
City: Hoboken
Tags: Математика;Теория вероятностей и математическая статистика;Теория вероятностей;Теория массового обслуживания (теория очередей);

Content: 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