Boundary Value Problems in Queueing System Analysis PDF Download

Author: J.W. Cohen
Publisher: Elsevier
ISBN: 0080871909
Category : Mathematics
Languages : en
Pages : 419

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Boundary Value Problems in Queueing System Analysis

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Publisher: World Scientific
ISBN:
Category :
Languages : en
Pages : 820

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Author: Guy Fayolle
Publisher: Springer Science & Business Media
ISBN: 3642600018
Category : Mathematics
Languages : en
Pages : 169

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Promoting original mathematical methods to determine the invariant measure of two-dimensional random walks in domains with boundaries, the authors use Using Riemann surfaces and boundary value problems to propose completely new approaches to solve functional equations of two complex variables. These methods can also be employed to characterize the transient behavior of random walks in the quarter plane.

Author: Jewgeni H. Dshalalow
Publisher: CRC Press
ISBN: 1000949931
Category : Business & Economics
Languages : en
Pages : 530

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Book Description
The progress of science and technology has placed Queueing Theory among the most popular disciplines in applied mathematics, operations research, and engineering. Although queueing has been on the scientific market since the beginning of this century, it is still rapidly expanding by capturing new areas in technology. Advances in Queueing provides a comprehensive overview of problems in this enormous area of science and focuses on the most significant methods recently developed. Written by a team of 24 eminent scientists, the book examines stochastic, analytic, and generic methods such as approximations, estimates and bounds, and simulation. The first chapter presents an overview of classical queueing methods from the birth of queues to the seventies. It also contains the most comprehensive bibliography of books on queueing and telecommunications to date. Each of the following chapters surveys recent methods applied to classes of queueing systems and networks followed by a discussion of open problems and future research directions. Advances in Queueing is a practical reference that allows the reader quick access to the latest methods.

Author: Dee Denteneer
Publisher: Springer Science & Business Media
ISBN: 3540693173
Category : Computers
Languages : en
Pages : 253

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Book Description
Reservation procedures constitute the core of many popular data transmission protocols. They consist of two steps: A request phase in which a station reserves the communication channel and a transmission phase in which the actual data transmission takes place. Such procedures are often applied in communication networks that are characterised by a shared communication channel with large round-trip times. In this book, we propose queuing models for situations that require a reservation procedure and validate their applicability in the context of cable networks. We offer various mathematical models to better understand the performance of these reservation procedures. The book covers four key performance models, and modifications to these: Contention trees, the repairman model, the bulk service queue, and tandem queues. The relevance of this book is not limited to reservation procedures and cable networks, and performance analysts from a variety of areas may benefit, as all models have found application in other fields as well.

Author: v Mityushev
Publisher: CRC Press
ISBN: 9781584880578
Category : Mathematics
Languages : en
Pages : 300

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Book Description
Constructive methods developed in the framework of analytic functions effectively extend the use of mathematical constructions, both within different branches of mathematics and to other disciplines. This monograph presents some constructive methods-based primarily on original techniques-for boundary value problems, both linear and nonlinear. From among the many applications to which these methods can apply, the authors focus on interesting problems associated with composite materials with a finite number of inclusions. How far can one go in the solutions of problems in nonlinear mechanics and physics using the ideas of analytic functions? What is the difference between linear and nonlinear cases from the qualitative point of view? What kinds of additional techniques should one use in investigating nonlinear problems? Constructive Methods for Linear and Nonlinear Boundary Value Problems serves to answer these questions, and presents many results to Westerners for the first time. Among the most interesting of these is the complete solution of the Riemann-Hilbert problem for multiply connected domains. The results offered in Constructive Methods for Linear and Nonlinear Boundary Value Problems are prepared for direct application. A historical survey along with background material, and an in-depth presentation of practical methods make this a self-contained volume useful to experts in analytic function theory, to non-specialists, and even to non-mathematicians who can apply the methods to their research in mechanics and physics.

Author: Aliakbar Montazer Haghighi
Publisher: Nova Publishers
ISBN: 9781604561890
Category : Business & Economics
Languages : en
Pages : 406

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Book Description
Studies on queueing models and their publication in professional journals and textbooks have been sparse over the past eleven decades. Collections of some of these studies have appeared either as single volumes or just chapters of single volumes and/or monographs. This book is an attempt to present some queuing models, especially those applicable in business and industry, in a style between a monograph and a textbook. Also the need of researchers and practitioners for a handbook-type text and the current lack of it explain the need for a book of this kind. Most of the basic terminologies and concepts that appear throughout the text are introduced in a systematic way in the first two chapters; nevertheless, previous exposition to a first course in probability and statistics is advised for later chapters.

Author: Sabine Wittevrongel
Publisher: Springer
ISBN: 3319439049
Category : Computers
Languages : en
Pages : 324

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Book Description
This book constitutes the refereed proceedings of the 23rd International Conference on Analytical and Stochastic Modelling Techniques and Applications, ASMTA 2016, held in Cardiff, UK, in August 2016. The 21 full papers presented in this book were carefully reviewed and selected from 30 submissions. The papers discuss the latest developments in analytical, numerical and simulation algorithms for stochastic systems, including Markov processes, queueing networks, stochastic Petri nets, process algebras, game theory, etc.

Author: Francois Baccelli
Publisher: Springer Science & Business Media
ISBN: 3642799175
Category : Computers
Languages : en
Pages : 313

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Book Description
It is widely recognized that the complexity of parallel and distributed systems is such that proper tools must be employed during their design stage in order to achieve the quantitative goals for which they are intended. This volume collects recent research results obtained within the Basic Research Action Qmips, which bears on the quantitative analysis of parallel and distributed architectures. Part 1 is devoted to research on the usage of general formalisms stemming from theoretical computer science in quantitative performance modeling of parallel systems. It contains research papers on process algebras, on Petri nets, and on queueing networks. The contributions in Part 2 are concerned with solution techniques. This part is expected to allow the reader to identify among the general formalisms of Part I, those that are amenable to an efficient mathematical treatment in the perspective of quantitative information. The common theme of Part 3 is the application of the analytical results of Part 2 to the performance evaluation and optimization of parallel and distributed systems. Part 1. Stochastic Process Algebras are used by N. Gotz, H. Hermanns, U. Herzog, V. Mertsiotakis and M. Rettelbach as a novel approach for the struc tured design and analysis of both the functional behaviour and performability (i.e performance and dependability) characteristics of parallel and distributed systems. This is achieved by integrating stochastic modeling and analysis into the powerful and well investigated formal description techniques of process algebras.

Author: Nigel Thomas
Publisher: Springer
ISBN: 3319614282
Category : Computers
Languages : en
Pages : 222

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Book Description
This book constitutes the refereed proceedings of the 24th International Conference on Analytical and Stochastic Modelling Techniques and Applications, ASMTA 2017, held in Newcastle-upon-Tyne UK, in July 2017. The 14 full papers presented in this book were carefully reviewed and selected from 27 submissions. The scope of the conference is on following topics: analytical, numerical and simulation algorithms for stochastic systems, including Markov processes, queueing networks, stochastic Petri nets, process algebras, game theoretical models.