This updated and expanded edition of Fundamentals of Queueing Theory presentsthe analytic modeling of queues in a very accessible style using up-to-date examples. Though the detailed coverage of the fundamentals of analytic modelingremains virtually the same, scores of new material have been added to reflectthe most recent approaches to the topic. Additionally, in the treatment of the advanced material, the authors have commingled mathematical details with numerical results and intuitive arguments. INDICE: Dedication. Preface. 1. Introduction. 1.1 Description of the Queueing Problem. 1.2 Characteristics of Queueing Processes. 1.3 Notation. 1.4 Measuring System Performance. 1.5 Some General Results. 1.6 Simple Data Bookkeeping for Queues. 1.7 Poisson Process and the Exponential Distribution. 1.8 Markovian Property of the Exponential Distribution. 1.9 Stochastic Processes and Markov Chains. Problems. 2. Simple Markovian Queueing Models. 2.1 Birth Death Processes. 2.2 Single-Server Queues (M/M/1). 2.3 Multi-Server Queues (M/M/c). 2.4Choosing the Number of Servers. 2.5 Queues with Truncation (M/M/c/K). 2.6 Erlang?s Loss Formula (M/M/c/c). 2.7 Queues with Unlimited Service (M/M/1). 2.8 Finite Source Queues. 2.9 State-Dependent Service. 2.10 Queues with Impatience.2.11 Transient Behavior. 2.12 Busy-Period Analysis. Problems. 3. Advanced Markovian Queueing Models. 3.1 Bulk Input (M[X]/M/1). 3.2 Bulk Service (M/M[Y ]/1). 3.3 Erlangian Models. 3.4 Priority Queue Disciplines. 3.5 Retrial Queues. 4. Networks, Series, and Cyclic Queues. 4.1 Series Queues. 4.2 Open Jackson Networks. 4.3 Closed Jackson Networks. 4.4 Cyclic Queues. 4.5 Extensions of Jackson Networks. 4.6 Non-Jackson Networks. 5. General Arrival or Service Patterns.5.1 General Service, Single Server (M/G/1). 5.2 General Service, Multi-Server(M/G/c/ú, M/G/1). 5.3 General Input (G/M/1, G/M/c). 6. More General Models and Theoretical Topics. 6.1 G/Ek/1, G[k]/M/1, and G/PHk/1. 6.2 General Input, General Service (G/G/1) . 6.3 Multichannel Queues with Poisson Input and Constant Service (M/D/c). 6.4 Semi-Markov and Markov Renewal Processes in Queueing. 6.5 Other Queue Disciplines. 6.6 Design and Control of Queues. 6.7 Statistical Inference in Queueing. 7. Bounds and Approximations. 7.1 Bounds. 7.2 Approximations. 7.3 Network Approximations. Problems. 8. Numerical Techniques and Simulation. 8.1 Numerical Techniques. 8.2 Numerical Inversion of Transforms. 8.3 Discrete-Event Stochastic Simulation. Problems. Bibliography. Appendix 1. Symbols and Abbreviations. Appendix 2. Tables. Appendix 3. Transforms and GeneratingFunctions. A3.1 Laplace Transforms. A3.2 Generating Functions. Appendix 4. Differential and Difference Equations. A4.1 Ordinary Differential Equations. A4.2 Difference Equations. Appendix 5. QTSPlus Software. A5.1 Instructions for Downloading.
- ISBN: 978-0-471-79127-0
- Editorial: John Wiley & Sons
- Encuadernacion: Rústica
- Páginas: 528
- Fecha Publicación: 22/08/2008
- Nº Volúmenes: 1
- Idioma: Inglés