Weak Convergence Theorems For Queues In Heavy Traffic
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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).
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 : 2001-06-08
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 2001-06-08 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.
Weak Convergence Of Measures
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Author : Patrick Billingsley
language : en
Publisher: SIAM
Release Date : 1971-06-01
Weak Convergence Of Measures written by Patrick Billingsley and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-06-01 with Mathematics categories.
A treatment of the convergence of probability measures from the foundations to applications in limit theory for dependent random variables. Mapping theorems are proved via Skorokhod's representation theorem; Prokhorov's theorem is proved by construction of a content. The limit theorems at the conclusion are proved under a new set of conditions that apply fairly broadly, but at the same time make possible relatively simple proofs.
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.
Computer Communications
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Author : American Mathematical Society. Meeting
language : en
Publisher: American Mathematical Soc.
Release Date : 1985
Computer Communications written by American Mathematical Society. Meeting and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Technology & Engineering categories.
Computer communications is characterized by rapid technological advances presenting problems of a theoretical nature that are often very difficult to solve. This title constitutes the proceedings of the 1983 AMS Short Course given at Denver, Colorado. It features contributors from a variety of different fields of computer communications.
Fundamentals Of Queueing Networks
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Author : Hong Chen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Fundamentals Of Queueing Networks written by Hong Chen 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 2013-04-17 with Mathematics categories.
This accessible book aims to collect in a single volume the essentials of stochastic networks. Stochastic networks have become widely used as a basic model of many physical systems in a diverse range of fields. Written by leading authors in the field, this book is meant to be used as a reference or supplementary reading by practitioners in operations research, computer systems, communications networks, production planning, and logistics.
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.
Traffic Systems Reviews And Abstracts
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Author : United States. Federal Highway Administration
language : en
Publisher:
Release Date : 1969
Traffic Systems Reviews And Abstracts written by United States. Federal Highway Administration and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Traffic engineering categories.
Journal Of Applied Probability
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Author :
language : en
Publisher:
Release Date : 2000
Journal Of Applied Probability written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematical models categories.
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