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Author: Donald L. Iglehart Publisher: ISBN: Category : Queuing theory Languages : en Pages : 68
Book Description
Queueing systems with r arrival channels and s service channels are studied under the condition of heavy traffic: traffic intensity greater than or equal to one. Limit theorems are obtained for the random functions induced in D(0,1) by the following processes: total queue length, queue length at the ith server, total load, load at the ith server, virtual waiting time, waiting time of the nth arrival, number of departures, time of the nth arrival, and the time of the nth departure. Also limit theorems for certain functionals of the above processes are obtained as an immediate consequence of weak convergence.
Author: Hong Chen Publisher: Springer Science & Business Media ISBN: 1475753012 Category : Mathematics Languages : en Pages : 407
Book Description
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.
Author: Biswa Nath Datta Publisher: Springer Science & Business Media ISBN: 1461514711 Category : Technology & Engineering Languages : en Pages : 298
Book Description
Applied and Computational Control, Signals, and Circuits: Recent Developments is an interdisciplinary book blending mathematics, computational mathematics, scientific computing and software engineering with control and systems theory, signal processing, and circuit simulations. The material consists of seven state-of-the-art review chapters, each written by a leading expert in that field. Each of the technical chapters deals exclusively with some of the recent developments involving applications and computations of control, signals and circuits. Also included is a Chapter focusing on the newly developed Fortran-based software library, called SLICOT, for control systems design and analysis. This collection will be an excellent reference work for research scientists, practicing engineers, and graduate level students of control and systems, circuit design, power systems and signal processing.
Author: Jyotiprasad Medhi Publisher: Elsevier ISBN: 008054181X Category : Mathematics Languages : en Pages : 501
Book Description
This is a graduate level textbook that covers the fundamental topics in queuing theory. The book has a broad coverage of methods to calculate important probabilities, and gives attention to proving the general theorems. It includes many recent topics, such as server-vacation models, diffusion approximations and optimal operating policies, and more about bulk-arrival and bull-service models than other general texts. - Current, clear and comprehensive coverage - A wealth of interesting and relevant examples and exercises to reinforce concepts - Reference lists provided after each chapter for further investigation
Author: L. Accardi Publisher: Springer Science & Business Media ISBN: 1461222249 Category : Mathematics Languages : en Pages : 370
Book Description
Senior probabilists from around the world with widely differing specialities gave their visions of the state of their specialty, why they think it is important, and how they think it will develop in the new millenium. The volume includes papers given at a symposium at Columbia University in 1995, but papers from others not at the meeting were added to broaden the coverage of areas. All papers were refereed.
Author: A. B. Clarke Publisher: Springer Science & Business Media ISBN: 3642808387 Category : Mathematics Languages : en Pages : 371
Book Description
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.
Author: Richard J. Boucherie Publisher: Springer Science & Business Media ISBN: 144196472X Category : Mathematics Languages : en Pages : 814
Book Description
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.
Author: Khalid Al-Begain Publisher: Springer Science & Business Media ISBN: 3642217125 Category : Computers Languages : en Pages : 356
Book Description
This book constitutes the refereed proceedings of the 18th International Conference on Analytical and Stochastic Modeling Techniques and Applications, ASMTA 2011, held in Venice, Italyin June 2011. The 24 revised full papers presented were carefully reviewed and selected from many submissions.The papers are organized in topical sections on queueing theory, software and computer systems, statistics and inference, telecommunication networks, and performance and performability.
Author: Gideon Weiss Publisher: Cambridge University Press ISBN: 1108245773 Category : Mathematics Languages : en Pages : 448
Book Description
Applications of queueing network models have multiplied in the last generation, including scheduling of large manufacturing systems, control of patient flow in health systems, load balancing in cloud computing, and matching in ride sharing. These problems are too large and complex for exact solution, but their scale allows approximation. This book is the first comprehensive treatment of fluid scaling, diffusion scaling, and many-server scaling in a single text presented at a level suitable for graduate students. Fluid scaling is used to verify stability, in particular treating max weight policies, and to study optimal control of transient queueing networks. Diffusion scaling is used to control systems in balanced heavy traffic, by solving for optimal scheduling, admission control, and routing in Brownian networks. Many-server scaling is studied in the quality and efficiency driven Halfin–Whitt regime and applied to load balancing in the supermarket model and to bipartite matching in ride-sharing applications.
Author: A. Kershenbaum Publisher: Springer Science & Business Media ISBN: 1461314712 Category : Technology & Engineering Languages : en Pages : 433
Book Description
Like the 120 volt standard for electricity, the appearance of standards in network management heralds new opportunities for creativity and achievement. As one example, within the framework of these evolving standards, consider a system of local area networks connecting computing equipment from different vendors. A bridge 1qc. k:8 up because of a transient caused by a repeater failure. The result is a massive disconnecHon of virtual circuits. What is the role of the manager and the network management system in solving the problem? How does the vendor implement the solution? How does the user use it? What measurements should be made? How should they be displayed? How much of the diagnosis and correction should be automated? How does the solution change with different hardware and software? In the IEEE Communications Magazine, I recently reported a timely illustration in the area of problems in fault management. At the workshop hotel, "I was waiting for a room assignment at the reception desk, when my attendant left the counter for a moment. Upon returning, he took one look at his screen and whined an accusatory question at everyone in sight, 'Who logged out my terminal?' Who indeed! It wasn't any of us. It was the system.
Author: Donald L. Iglehart
Author: Hong Chen
Author: Biswa Nath Datta
Author: Jyotiprasad Medhi
Author: L. Accardi
Author: A. B. Clarke
Author: Richard J. Boucherie
Author: Khalid Al-Begain
Author: United States. Federal Highway Administration
Author: Gideon Weiss
Author: A. Kershenbaum