Elementary Properties of Clock-Regulated Queues (Classic Reprint)
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.05
Quantity: Over 20 available
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Seller Inventory # 9781332871469_0
- Title
- Elementary Properties of Clock-Regulated Queues (Classic Reprint)
- Author
- Ora E. Percus, J. K. Percus
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1332871461
- ISBN 13
- 9781332871469
- Seller catalogs
- Statistics
Learn how clock-regulated queues work, from simple single queues to finite-capacity models, with clear math you can apply.
This book examines how messages move through network switches and queues when service times are fixed and inputs follow simple probabilistic rules. It treats the infinite-capacity case as a random walk on the nonnegative integers, then extends the idea to the output process and the first-return behavior. The discussion blends exact difference equations with generating functions to reveal steady-state distributions and waiting-time properties. It also contrasts two finite-capacity queue models, showing how boundary conditions alter performance in practical settings.
Readers will see how to translate queue behavior into solvable mathematical forms, understand the role of i.i.d. inputs, and compare single- and multi-stage systems. The text emphasizes the relationships between queue length, waiting time, and output clusters, providing a toolkit for analyzing similar stochastic systems.
- How a queue can be modeled as a random walk on a half-line and solved with generating functions
- Methods for deriving steady-state distributions and moments of waiting time
- Characterization of the output process and the distribution of output clusters
- Two finite-capacity models and their different boundary conditions
Ideal for readers of stochastic processes, operations research, and applied probability who want concrete techniques for queue analysis.
"Synopsis" may belong to another edition of this title.
Forgotten Books
London, United Kingdom
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