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Linear Algebra Markov Chains And Queueing Models


Linear Algebra Markov Chains And Queueing Models
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Linear Algebra Markov Chains And Queueing Models


Linear Algebra Markov Chains And Queueing Models
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Author : Carl D Meyer
language : en
Publisher:
Release Date : 1993-09-10

Linear Algebra Markov Chains And Queueing Models written by Carl D Meyer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-09-10 with categories.




Linear Algebra Markov Chains And Queueing Models


Linear Algebra Markov Chains And Queueing Models
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Author : Carl Dean Meyer
language : en
Publisher:
Release Date : 1993

Linear Algebra Markov Chains And Queueing Models written by Carl Dean Meyer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.




Structured Stochastic Matrices Of M G 1 Type And Their Applications


Structured Stochastic Matrices Of M G 1 Type And Their Applications
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Author : Marcel F. Neuts
language : en
Publisher: CRC Press
Release Date : 2021-12-16

Structured Stochastic Matrices Of M G 1 Type And Their Applications written by Marcel F. Neuts and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-16 with Mathematics categories.


This book deals with Markov chains and Markov renewal processes (M/G/1 type). It discusses numerical difficulties which are apparently inherent in the classical analysis of a variety of stochastic models by methods of complex analysis.



Linear Algebra Markov Chains And Queueing Models


Linear Algebra Markov Chains And Queueing Models
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Author : Carl D. Meyer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Linear Algebra Markov Chains And Queueing Models written by Carl D. Meyer 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.


This IMA Volume in Mathematics and its Applications LINEAR ALGEBRA, MARKOV CHAINS, AND QUEUEING MODELS is based on the proceedings of a workshop which was an integral part of the 1991-92 IMA program on "Applied Linear Algebra". We thank Carl Meyer and R.J. Plemmons for editing the proceedings. We also take this opportunity to thank the National Science Founda tion, whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. xi PREFACE This volume contains some of the lectures given at the workshop Lin ear Algebra, Markov Chains, and Queueing Models held January 13-17, 1992, as part of the Year of Applied Linear Algebra at the Institute for Mathematics and its Applications. Markov chains and queueing models play an increasingly important role in the understanding of complex systems such as computer, communi cation, and transportation systems. Linear algebra is an indispensable tool in such research, and this volume collects a selection of important papers in this area. The articles contained herein are representative of the underlying purpose of the workshop, which was to bring together practitioners and re searchers from the areas of linear algebra, numerical analysis, and queueing theory who share a common interest of analyzing and solving finite state Markov chains. The papers in this volume are grouped into three major categories-perturbation theory and error analysis, iterative methods, and applications regarding queueing models.



Introduction To Matrix Analytic Methods In Stochastic Modeling


Introduction To Matrix Analytic Methods In Stochastic Modeling
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Author : G. Latouche
language : en
Publisher: SIAM
Release Date : 1999-01-01

Introduction To Matrix Analytic Methods In Stochastic Modeling written by G. Latouche and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Mathematics categories.


Matrix analytic methods are popular as modeling tools because they give one the ability to construct and analyze a wide class of queuing models in a unified and algorithmically tractable way. The authors present the basic mathematical ideas and algorithms of the matrix analytic theory in a readable, up-to-date, and comprehensive manner. In the current literature, a mixed bag of techniques is used-some probabilistic, some from linear algebra, and some from transform methods. Here, many new proofs that emphasize the unity of the matrix analytic approach are included.



An Introduction To Queueing Theory


An Introduction To Queueing Theory
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Author : L. Breuer
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-23

An Introduction To Queueing Theory written by L. Breuer 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 2006-02-23 with Mathematics categories.


The present textbook contains the recordsof a two–semester course on que- ing theory, including an introduction to matrix–analytic methods. This course comprises four hours oflectures and two hours of exercises per week andhas been taughtattheUniversity of Trier, Germany, for about ten years in - quence. The course is directed to last year undergraduate and?rst year gr- uate students of applied probability and computer science, who have already completed an introduction to probability theory. Its purpose is to present - terial that is close enough to concrete queueing models and their applications, while providing a sound mathematical foundation for the analysis of these. Thus the goal of the present book is two–fold. On the one hand, students who are mainly interested in applications easily feel bored by elaborate mathematical questions in the theory of stochastic processes. The presentation of the mathematical foundations in our courses is chosen to cover only the necessary results, which are needed for a solid foundation of the methods of queueing analysis. Further, students oriented - wards applications expect to have a justi?cation for their mathematical efforts in terms of immediate use in queueing analysis. This is the main reason why we have decided to introduce new mathematical concepts only when they will be used in the immediate sequel. On the other hand, students of applied probability do not want any heur- tic derivations just for the sake of yielding fast results for the model at hand.



Fundamentals Of Matrix Analytic Methods


Fundamentals Of Matrix Analytic Methods
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Author : Qi-Ming He
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-13

Fundamentals Of Matrix Analytic Methods written by Qi-Ming He 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 2013-08-13 with Computers categories.


Fundamentals of Matrix-Analytic Methods targets advanced-level students in mathematics, engineering and computer science. It focuses on the fundamental parts of Matrix-Analytic Methods, Phase-Type Distributions, Markovian arrival processes and Structured Markov chains and matrix geometric solutions. New materials and techniques are presented for the first time in research and engineering design. This book emphasizes stochastic modeling by offering probabilistic interpretation and constructive proofs for Matrix-Analytic Methods. Such an approach is especially useful for engineering analysis and design. Exercises and examples are provided throughout the book.



Stochastic Models In Queueing Theory


Stochastic Models In Queueing Theory
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Author : Jyotiprasad Medhi
language : en
Publisher: Elsevier
Release Date : 2002-11-06

Stochastic Models In Queueing Theory written by Jyotiprasad Medhi and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-06 with Mathematics categories.


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



Queueing


Queueing
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Author : Walter C. Giffin
language : en
Publisher:
Release Date : 1978

Queueing written by Walter C. Giffin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.


Elementary markov chains; Markov chain computations; Continuous time processes; Birth-death process in queues; Prototype steady-state models; Transient solutions; Time varying inputs; Imbedded markov chains; Bulk queues; Networks of queues; Special topics; Model selection and data analysis; Parameter estimation and hypothesis testing.



A Course On Queueing Models


A Course On Queueing Models
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Author : Joti Lal Jain
language : en
Publisher: CRC Press
Release Date : 2006-07-20

A Course On Queueing Models written by Joti Lal Jain and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-20 with Mathematics categories.


The application of engineering principles in divergent fields such as management science and communications as well as the advancement of several approaches in theory and computation have led to growing interest in queueing models, creating the need for a comprehensive text. Emphasizing Markovian structures and the techniques that occur in different models, A Course on Queueing Models discusses recent developments in the field, different methodological tools - some of which are not available elsewhere - and computational techniques. While most books essentially address the classical methods of queueing theory, this text covers a broad range of methods both in theory and in computation. The first part of the textbook exposes you to many fundamental concepts at an introductory level and provides tools for practitioners. It discusses the basics in queueing theory for Markovian and regenerative non-Markovian models, statistical inference, simulation and some computational procedures, network and discrete-time queues, algebraic and combinatorial methods, and optimization. The second part delves deeper into the topics examined in the first part by presenting more advanced methods. This part also includes general queues, duality in queues, and recent advancements on computational methods and discrete-time queues. Each chapter contains a discussion section that summarizes material and highlights special features. Incorporating different queueing models, A Course on Queueing Models achieves an ideal balance between theory and practice, making it compatible for advanced undergraduate and graduate students, applied statisticians, and engineers.