Book description
Matrix-analytic methods (MAM) were introduced by Professor Marcel Neuts and have been applied to a variety of stochastic models since.
In order to provide a clear and deep understanding of MAM while showing their power, this book presents MAM concepts and explains the results using a number of worked-out examples. This book's approach will inform and kindle the interest of researchers attracted to this fertile field.
To allow readers to practice and gain experience in the algorithmic and computational procedures of MAM, Introduction to Matrix-Analytic Methods in Queues 2 provides a number of computational exercises. It also incorporates simulation as another tool for studying complex stochastic models, especially when the state space of the underlying stochastic models under analytic study grows exponentially.
This book's detailed approach will make it more accessible for readers interested in learning about MAM in stochastic models.
Table of contents
- Cover
- Dedication
- Title Page
- Copyright
- List of Notations
- Preface
- Chapter 1. Single-Server Queues Embedded at Departure Epochs
- Chapter 2. Single-Server Queues Embedded at Arrival Epochs
- Chapter 3. Single-Server Queues Based on Arbitrary Epochs
-
Chapter 4. Busy Period in Queues
- 4.1. Busy period in M/G/1-type queues (scalar case)
- 4.2. Busy period in M/G/1-type queues (matrix case)
- 4.3. Busy period in GI/M/1-type queues (scalar case)
- 4.4. Busy period in GI/PH/1-type queues
- 4.5. BMAP/PH/1 queue
- 4.6. Busy period in QBD-type queues
- 4.7. When the fundamental period is not the busy period
- 4.8. GI/G/1 queues
- 4.9. Exercises
- Chapter 5. Multi-Server Queues
- Chapter 6. Finite-Capacity Queues
- Chapter 7. Simulation
- References
- Index
- Summary of Volume 1
- Wiley End User License Agreement
Product information
- Title: Introduction to Matrix-Analytic Methods in Queues 2
- Author(s):
- Release date: October 2022
- Publisher(s): Wiley-ISTE
- ISBN: 9781786308238
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