Author: N. U. PrabhuPublisher:
ISBN:
Category :
Languages : en
Pages : 104
Book Description
Markov-modulated Queueing Systems
Author: N. U. PrabhuMarkov-Modulated Processes and Semiregenerative Phenomena
Author: Loon Ching TangPublisher: World Scientific
ISBN: 9812793194
Category : Mathematics
Languages : en
Pages : 237
Book Description
The book presents a coherent treatment of Markov random walks and Markov additive processes together with their applications. Part I provides the foundations of these stochastic processes underpinned by a solid theoretical framework based on Semiregenerative phenomena. Part II presents some applications to queueing and storage systems.
A Tool for Simulation of Markov Modulated Finite Source Queueing Systems
Author: János SztrikAdvances in Queueing Theory, Methods, and Open Problems
Author: Jewgeni H. DshalalowPublisher: CRC Press
ISBN: 9780849380747
Category : Business & Economics
Languages : en
Pages : 530
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.
Limit Theorems for Markov-modulated Queues
Author: Halldóra ThorsdottirPublisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
"This thesis considers queueing systems affected by a random environment. The behaviour of these queues is studied under specific asymptotic regimes. Embedding a queueing system in a random environment is a way to add flexibility to a model. This flexibility comes at the cost of increased complexity, in that the already stochastic arrival and service processes are also assumed to have randomly fluctuating parameters governed by the external environment. Here, scalings are applied to impose either a central limit theorem (CLT) type of scaling or a heavy traffic scaling. After speeding up the environment that modulates the Poisson arrivals to an infinite server queue, the arrival process is shown to be asymptotically Poisson with a uniform rate, see Chapter 2. By also speeding up the arrival rates, the scaled and centered queue length converges to a normally distributed random variable. The results are extended in Chapter 3 to a multi-dimensional CLT for an M/G/1 queue with Markov-modulation. Chapter 4 contains a functional CLT for the queue length with modulated arrivals using the martingale CLT to prove weak convergence to an OU process, where the environment moves either faster or slower than the arrival process. In Chapter 5, assuming a fairly general class of service disciplines, it is shown that the workload of an M/G/1 queue with modulated service capacity converges to an exponentially distributed random variable in heavy traffic. A special case of the queue is analysed under the discriminatory processor sharing discipline."--Samenvatting auteur.
Advances in Queueing Theory, Methods, and Open Problems
Author: Jewgeni H. DshalalowPublisher: CRC Press
ISBN: 1000943291
Category : Business & Economics
Languages : en
Pages : 527
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.
Heavy Traffic and Markov Modulated Models for Wireless Queueing Systems and Numerical Methods for Associated Resource Allocation Problems
Author: Chuan LinPublisher:
ISBN:
Category :
Languages : en
Pages : 126
Book Description
Keywords: Markov modulated, Multi-completely S, Markov chain approximation, Heavy traffic.
Queueing Modelling Fundamentals
Author: Professor Chee-Hock NgPublisher: John Wiley & Sons
ISBN: 9780470994665
Category : Technology & Engineering
Languages : en
Pages : 292
Book Description
Queueing analysis is a vital tool used in the evaluation of system performance. Applications of queueing analysis cover a wide spectrum from bank automated teller machines to transportation and communications data networks. Fully revised, this second edition of a popular book contains the significant addition of a new chapter on Flow & Congestion Control and a section on Network Calculus among other new sections that have been added to remaining chapters. An introductory text, Queueing Modelling Fundamentals focuses on queueing modelling techniques and applications of data networks, examining the underlying principles of isolated queueing systems. This book introduces the complex queueing theory in simple language/proofs to enable the reader to quickly pick up an overview to queueing theory without utilizing the diverse necessary mathematical tools. It incorporates a rich set of worked examples on its applications to communication networks. Features include: Fully revised and updated edition with significant new chapter on Flow and Congestion Control as-well-as a new section on Network Calculus A comprehensive text which highlights both the theoretical models and their applications through a rich set of worked examples, examples of applications to data networks and performance curves Provides an insight into the underlying queuing principles and features step-by-step derivation of queueing results Written by experienced Professors in the field Queueing Modelling Fundamentals is an introductory text for undergraduate or entry-level post-graduate students who are taking courses on network performance analysis as well as those practicing network administrators who want to understand the essentials of network operations. The detailed step-by-step derivation of queueing results also makes it an excellent text for professional engineers.
An Asymptotic Analysis of a Queueing System with Markov-modulated Arrivals
Author: David Y. BurmanPublisher:
ISBN:
Category : Queuing theory
Languages : en
Pages : 37
Book Description
Queueing Modelling Fundamentals
Author: Professor Chee-Hock NgPublisher: John Wiley & Sons
ISBN: 0470519576
Category : Technology & Engineering
Languages : en
Pages : 309
Book Description
Queueing analysis is a vital tool used in the evaluation of system performance. Applications of queueing analysis cover a wide spectrum from bank automated teller machines to transportation and communications data networks. Fully revised, this second edition of a popular book contains the significant addition of a new chapter on Flow & Congestion Control and a section on Network Calculus among other new sections that have been added to remaining chapters. An introductory text, Queueing Modelling Fundamentals focuses on queueing modelling techniques and applications of data networks, examining the underlying principles of isolated queueing systems. This book introduces the complex queueing theory in simple language/proofs to enable the reader to quickly pick up an overview to queueing theory without utilizing the diverse necessary mathematical tools. It incorporates a rich set of worked examples on its applications to communication networks. Features include: Fully revised and updated edition with significant new chapter on Flow and Congestion Control as-well-as a new section on Network Calculus A comprehensive text which highlights both the theoretical models and their applications through a rich set of worked examples, examples of applications to data networks and performance curves Provides an insight into the underlying queuing principles and features step-by-step derivation of queueing results Written by experienced Professors in the field Queueing Modelling Fundamentals is an introductory text for undergraduate or entry-level post-graduate students who are taking courses on network performance analysis as well as those practicing network administrators who want to understand the essentials of network operations. The detailed step-by-step derivation of queueing results also makes it an excellent text for professional engineers.