This book introduces the theoretical fundamentals for modeling queues in discrete-time, and the basic procedures for developing queuing models in discrete-time. There is a focus on applications in modern telecommunication systems.
It presents how most queueing models in discrete-time can be set up as discrete-time Markov chains. Techniques such as matrix-analytic methods (MAM) that can used to analyze the resulting Markov chains are included. This book covers single node systems, tandem system and queueing networks. It shows how queues with time-varying parameters can be analyzed, and illustrates numerical issues associated with computations for the discrete-time queueing systems. Optimal control of queues is also covered.
Applied Discrete-Time Queues targets researchers, advanced-level students and analysts in the field of telecommunication networks. It is suitable as a reference book and can also be used as a secondary text book in computer engineering and computer science. Examples and exercises are included.
Author(s): Attahiru S. Alfa
Edition: 2
Publisher: Springer
Year: 2015
Language: English
Pages: 383
Tags: Communications Engineering, Networks; Computer Communication Networks; Power Electronics, Electrical Machines and Networks; Microwaves, RF and Optical Engineering
Front Matter....Pages i-xxi
Introduction....Pages 1-22
Arrival and Service Processes....Pages 23-55
Discrete-Time Markov Chains....Pages 57-90
Numerical Computations with Discrete-Time Markov Chains....Pages 91-138
Basic Single Node Queueing Models with Infinite Buffers....Pages 139-207
Basic Single Node Queueing Models with Finite Buffers....Pages 209-226
Multiserver Single Node Queueing Models....Pages 227-260
Single Node Queueing Models with Server Vacations....Pages 261-282
Single Node Queueing Models with Priorities....Pages 283-306
Special Single Node Queueing Models....Pages 307-322
Queues with Time Varying Parameters....Pages 323-337
Tandem Queues and Queueing Networks....Pages 339-365
Optimization and Control of Discrete-Time Queues....Pages 367-377
Back Matter....Pages 379-383
