A Limit Theorem For Priority Queues In Heavy Traffic
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A Limit Theorem For Priority Queues In Heavy Traffic
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Author : J. Michael Harrison
language : en
Publisher:
Release Date : 1971
A Limit Theorem For Priority Queues In Heavy Traffic written by J. Michael Harrison and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.
A single server, two priority queueing system is studied under the heavy traffic condition where the system traffic intensity is either at or near its critical value. An approximation is developed for the transient distribution of the low priority customers' virtual waiting time process. This result is stated formally as a limit theorem involving a sequence of systems whose traffic intensities approach the critical value. (Author).
Heavy Traffic Analysis Of Controlled Queueing And Communication Networks
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Author : Harold Kushner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21
Heavy Traffic Analysis Of Controlled Queueing And Communication Networks written by Harold Kushner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Mathematics categories.
One of the first books in the timely and important area of heavy traffic analysis of controlled and uncontrolled stochastics networks, by one of the leading authors in the field. The general theory is developed, with possibly state dependent parameters, and specialized to many different cases of practical interest.
Some Limit Theorems For Priority Queues
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Author : John Allen Hooke
language : en
Publisher:
Release Date : 1970
Some Limit Theorems For Priority Queues written by John Allen Hooke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Queuing theory categories.
Limit Theorems For Networks Of Finite Buffer Queues In Heavy Traffic
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Author : Sanjay Mithal
language : en
Publisher:
Release Date : 1994
Limit Theorems For Networks Of Finite Buffer Queues In Heavy Traffic written by Sanjay Mithal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
Mathematical Methods In Queueing Theory
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Author : A. B. Clarke
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Methods In Queueing Theory written by A. B. Clarke and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
On May 10-12, 1973 a Conference on Mathematical Methods in Graph Theory was held at Western Michigan University in Kalamazoo. The theme of this Conference was recent advances in the application of analytic and algebraic methods to the analysis of queues and queueing networks. In addition some discussion was given to statistical analy ses in queues, control problems and graphical methods. A total of 83 individuals from both industry and academic estab lishments participated in the Conference. A list of these partici pants can be found on page 373. A total of 18 papers were presented, with sUbstantial time being devoted to their informal discussion. This volume constitutes the proceedings of the Conference, and includes all papers presented. TABLE OF CONTENTS MARCEL F. NEUTS The Markov Renewal Branching Process • 1 RALPH L. DISNEY and W. PETER CHERRY Some Topics in Queueing Network Theory 23 JULIAN KEILSON Convexity and Complete Monotonicity in Queueing Distributions and Associated Limit Behavior . • • • • • . . • • • •• • • 45 G. F. NEWELL Graphical Representation of Queue Evolution for Multiple-Server Systems • . • • • • • • • • • • 63 N. U. PRABHU Wiener-Hopf Techniques in Queueing Theory 81 / IAJOS TAKACS Occupation Time Problems in the Theory of Queues 91 TAPAN P. BAGCHI and J. G. C. TEMPLETON Some Finite waiting Space Bulk Queueing Systems 133 U.
Stochastic Models In Reliability Network Security And System Safety
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Author : Quan-Lin Li
language : en
Publisher: Springer Nature
Release Date : 2019-10-21
Stochastic Models In Reliability Network Security And System Safety written by Quan-Lin Li and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-21 with Computers categories.
This book is dedicated to Jinhua Cao on the occasion of his 80th birthday. Jinhua Cao is one of the most famous reliability theorists. His main contributions include: published over 100 influential scientific papers; published an interesting reliability book in Chinese in 1986, which has greatly influenced the reliability of education, academic research and engineering applications in China; initiated and organized Reliability Professional Society of China (the first part of Operations Research Society of China) since 1981. The high admiration that Professor Cao enjoys in the reliability community all over the world was witnessed by the enthusiastic response of each contributor in this book. The contributors are leading researchers with diverse research perspectives. The research areas of the book iclude a broad range of topics related to reliability models, queueing theory, manufacturing systems, supply chain finance, risk management, Markov decision processes, blockchain and so forth. The book consists of a brief Preface describing the main achievements of Professor Cao; followed by congratulations from Professors Way Kuo and Wei Wayne Li, and by Operations Research Society of China, and Reliability Professional Society of China; and further followed by 25 articles roughly grouped together. Most of the articles are written in a style understandable to a wide audience. This book is useful to anyone interested in recent developments in reliability, network security, system safety, and their stochastic modeling and analysis.
Limit Theorems For Networks Of Queues In Heavy Traffic
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Author : Luiz Felipe Martins
language : en
Publisher:
Release Date : 1990
Limit Theorems For Networks Of Queues In Heavy Traffic written by Luiz Felipe Martins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
Weak Convergence Theorems For Queues In Heavy Traffic
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Author : Ward Whitt
language : en
Publisher:
Release Date : 1969
Weak Convergence Theorems For Queues In Heavy Traffic written by Ward Whitt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Queuing theory categories.
Limit theorems are proved for unstable queueing systems. The GI/G/1 queue is the primary concern, but the theorems apply to more general systems in which the various independence assumptions are relaxed. Bulk queues, queues with several servers (GI/M/s), queues with a finite waiting room, and dams are also discussed. (Author).
Stochastic Process Limits
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Author : Ward Whitt
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11
Stochastic Process Limits written by Ward Whitt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-11 with Mathematics categories.
From the reviews: "The material is self-contained, but it is technical and a solid foundation in probability and queuing theory is beneficial to prospective readers. [... It] is intended to be accessible to those with less background. This book is a must to researchers and graduate students interested in these areas." ISI Short Book Reviews
Queueing Networks
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Author : Richard J. Boucherie
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-25
Queueing Networks written by Richard J. Boucherie and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-25 with Mathematics categories.
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 sub networks 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 process 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. spanPart 5 enlightens selected applications as spanloss 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. spanThe book shows that spanthe intertwined progress of theory and practicespan will remain to be most intriguing and will continue to be the basis of further developments in queueing networks.