Queueing Networks: A Fundamental Approach: 154 (International Series in Operations Research & Management Science, 154) - Hardcover

Book 128 of 323: International Series in Operations Research & Management Science
 
9781441964717: Queueing Networks: A Fundamental Approach: 154 (International Series in Operations Research & Management Science, 154)
Hardcover
ISBN 10: 1441964711 ISBN 13: 9781441964717
Publisher: Springer, 2010

Synopsis

<body><p><span>This handbook aims to highlight fundamental, methodological and computational aspects of networks of queues to provide insights and to unify results that can be applied in a more general manner.<span>  </span>The handbook is organized into five parts:</span></p><p><span /></p><p><span>Part 1 considers exact analytical results such as of product form type</span><span>. Topics include</span><span> </span><span>characterization of product forms by physical balance concepts and simple traffic flow equations,</span><span> </span><span>classes of service and queue disciplines that allow a product form,</span><span> </span><span>a unified description of product forms for discrete time queueing networks,</span><span> </span><span>insights for insensitivity, and aggregation and decomposition results that allow sub networks to be aggregated into single nodes to reduce computational burden.</span></p><p><b><i><span /></i></b></p><p><span>Part 2 looks at monotonicity and comparison results such as for computational simplification by either of two approaches: </span><span>stochastic monotonicity and ordering results based on the ordering of the process generators, and comparison results and explicit error bounds based on an underlying Markov reward structure leading to ordering of expectations of performance measures.</span></p><p><b><i><span /></i></b></p><p><span>Part 3 presents diffusion and fluid results. It specifically looks at<span>  </span></span><span>the fluid regime and the diffusion regime. Both of these are illustrated through fluid limits for theanalysis of system stability, diffusion approximations for multi-server systems, and a system fed by Gaussian traffic.</span></p><p><span /></p><p><span>Part 4 illustrates computational and approximate results through</span><span> the classical MVA (mean value analysis) and QNA (queueing network analyzer) for computing mean and variance of performance measures such as queue lengths and sojourn times; numerical approximation of response time distributions; and approximate decomposition results for large open queueing networks.</span></p><p><b><i><span /></i></b></p><p><span>Part 5 enlightens selected applications as </span><span>loss networks originating from circuit switched telecommunications applications, capacity sharing originating from packet switching in data networks, and a hospital application that is of growing present day interest.</span></p><p><span /></p><p><span>The book shows that</span> <span>the intertwined progress of theory and practice<span>  </span>will remain to be most intriguing and will continue to be the basis of further developments in queueing networks.</span></p></body>

"synopsis" may belong to another edition of this title.

From the Back Cover

This handbook aims to highlight fundamental, methodological and computational aspects of networks of queues to provide insights and to unify results that can be applied in a more general manner. The handbook is organized into five parts:

Part 1 considers exact analytical results such as of product form type. Topics include characterization of product forms by physical balance concepts and simple traffic flow equations, classes of service and queue disciplines that allow a product form, a unified description of product forms for discrete time queueing networks, insights for insensitivity, and aggregation and decomposition results that allow subnetworks to be aggregated into single nodes to reduce computational burden.

Part 2 looks at monotonicity and comparison results such as for computational simplification by either of two approaches: stochastic monotonicity and ordering results based on the ordering of the proces generators, and comparison results and explicit error bounds based on an underlying Markov reward structure leading to ordering of expectations of performance measures.

Part 3 presents diffusion and fluid results. It specifically looks at the fluid regime and the diffusion regime. Both of these are illustrated through fluid limits for the analysis of system stability, diffusion approximations for multi-server systems, and a system fed by Gaussian traffic.

Part 4 illustrates computational and approximate results through the classical MVA (mean value analysis) and QNA (queueing network analyzer) for computing mean and variance of performance measures such as queue lengths and sojourn times;numerical approximation of response time distributions; and approximate decomposition results for large open queueing networks.

Part 5 enlightens selected applications as loss networks originating from circuit switched telecommunications applications, capacity sharing originating from packet switching in data networks, and a hospital application that is of growing present day interest.

The book shows that the intertwined progress of theory and practice will remain to be most intriguing and will continue to be the basis of further developments in queueing networks.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2010
Language
English
ISBN 10 
1441964711
ISBN 13 
9781441964717
Binding
Hardcover
Number of pages
824
Editor
Boucherie Richard J., Van Dijk Nico M.

Other Popular Editions of the Same Title

9781461427735: Queueing Networks: A Fundamental Approach: 154 (International Series in Operations Research & Management Science, 154)

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ISBN 10:  1461427738 ISBN 13:  9781461427735
Publisher: Springer, 2013
Softcover