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Author: Hideaki Takagi
Publisher: North Holland
ISBN:
Category : Computers
Languages : en
Pages : 568
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Book Description
Queueing models have been used very effectively for the performance of evaluation of many computer and communication systems. As a continuation of Volume 1: Vacation and Priority Systems , which dealt with M/G/1-type systems, this volume explores systems with a finite population (M/G/1/N) and those with a finite capacity (M/G/1/K). The methods of imbedded Markov chains and semi-Markov processes, the delay cycle analysis, and the method of supplementary variables are extensively used. In order to maximise the reader's understanding, multiple approaches have been employed, including the derivation of the results by several techniques. This elaborate presentation of new and important research results applicable to emerging technologies is aimed at engineers and mathematicians alike, with a basic understanding or a comprehensive knowledge of queueing systems. It will be of particular interest to researchers and graduate students of applied probability, operations research, computer science and electrical engineering and to researchers and engineers of performance of computers and communication networks. Volume 3: Discrete Time Systems will follow this volume to complete the set.
Author: Hideaki Takagi
Publisher: North Holland
ISBN:
Category : Computers
Languages : en
Pages : 568
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Book Description
Queueing models have been used very effectively for the performance of evaluation of many computer and communication systems. As a continuation of Volume 1: Vacation and Priority Systems , which dealt with M/G/1-type systems, this volume explores systems with a finite population (M/G/1/N) and those with a finite capacity (M/G/1/K). The methods of imbedded Markov chains and semi-Markov processes, the delay cycle analysis, and the method of supplementary variables are extensively used. In order to maximise the reader's understanding, multiple approaches have been employed, including the derivation of the results by several techniques. This elaborate presentation of new and important research results applicable to emerging technologies is aimed at engineers and mathematicians alike, with a basic understanding or a comprehensive knowledge of queueing systems. It will be of particular interest to researchers and graduate students of applied probability, operations research, computer science and electrical engineering and to researchers and engineers of performance of computers and communication networks. Volume 3: Discrete Time Systems will follow this volume to complete the set.
Author: Hideaki Takagi
Publisher: North Holland
ISBN: 9780444816115
Category : Computers
Languages : en
Pages : 470
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Book Description
Queueing models have been used very effectively for the performance evaluation of many computer and communication systems. This third volume of Queueing Analysis follows Volume 1: Vacation and Priority Systems , which considers M/G/1, M/G/1 with vacations and priority queues and Volume 2: Finite Systems , which analyzes M/G/1/N and M/G/1/K. It is devoted to discrete-time queueing systems which are finding new applications in emerging high-speed communication networks. It covers single-server systems with an independent batch arrival process and a general service time distribution, and with features such as the server vacation, priority scheduling, finite population, and finite capacity. Ambiguities related to the timings of events in the discrete-time setting are fully clarified. Many existing results have been arranged systematically with references and combined with new results in uniform notation. The volume includes a comprehensive bibliography on performance evaluation of computers and communication networks. In accordance with Volumes 1 and 2 of Queueing Analysis , this publication will be of specific interest to researchers and graduate students of applied probability, operations research, computer science and electrical engineering and to researchers and engineers of performance of computers and communication networks.
Author: Simonetta Balsamo
Publisher: Springer Science & Business Media
ISBN: 9780792379966
Category : Business & Economics
Languages : en
Pages : 276
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Book Description
Queueing network models have been widely applied as a powerful tool for modelling, performance evaluation, and prediction of discrete flow systems, such as computer systems, communication networks, production lines, and manufacturing systems. Queueing network models with finite capacity queues and blocking have been introduced and applied as even more realistic models of systems with finite capacity resources and with population constraints. In recent years, research in this field has grown rapidly. Analysis of Queueing Networks with Blocking introduces queueing network models with finite capacity and various types of blocking mechanisms. It gives a comprehensive definition of the analytical model underlying these blocking queueing networks. It surveys exact and approximate analytical solution methods and algorithms and their relevant properties. It also presents various application examples of queueing networks to model computer systems and communication networks. This book is organized in three parts. Part I introduces queueing networks with blocking and various application examples. Part II deals with exact and approximate analysis of queueing networks with blocking and the condition under which the various techniques can be applied. Part III presents a review of various properties of networks with blocking, describing several equivalence properties both between networks with and without blocking and between different blocking types. Approximate solution methods for the buffer allocation problem are presented.
Author:
Publisher:
ISBN:
Category : Queuing theory
Languages : en
Pages : 546
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Book Description
Author: Hideaki Takagi
Publisher:
ISBN:
Category : Queuing theory
Languages : en
Pages :
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Book Description
Author: Nick T. Thomopoulos
Publisher: Springer Science & Business Media
ISBN: 146143713X
Category : Business & Economics
Languages : en
Pages : 187
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Book Description
Waiting in lines is a staple of everyday human life. Without really noticing, we are doing it when we go to buy a ticket at a movie theater, stop at a bank to make an account withdrawal, or proceed to checkout a purchase from one of our favorite department stores. Oftentimes, waiting lines are due to overcrowded, overfilling, or congestion; any time there is more customer demand for a service than can be provided, a waiting line forms. Queuing systems is a term used to describe the methods and techniques most ideal for measuring the probability and statistics of a wide variety of waiting line models. This book provides an introduction to basic queuing systems, such as M/M/1 and its variants, as well as newer concepts like systems with priorities, networks of queues, and general service policies. Numerical examples are presented to guide readers into thinking about practical real-world applications, and students and researchers will be able to apply the methods learned to designing queuing systems that extend beyond the classroom. Very little has been published in the area of queuing systems, and this volume will appeal to graduate-level students, researchers, and practitioners in the areas of management science, applied mathematics, engineering, computer science, and statistics.
Author: H.T. Papadopolous
Publisher: Springer Science & Business Media
ISBN: 9780412387203
Category : Technology & Engineering
Languages : en
Pages : 426
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Book Description
The objective of the book is to acquaint the reader with the use of queueing theory in the analysis of manufacturing systems.
Author: Thomas G. Robertazzi
Publisher: Springer Science & Business Media
ISBN: 1461211646
Category : Mathematics
Languages : en
Pages : 418
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Book Description
Intended for a first course in performance evaluation, this is a self-contained treatment covering all aspects of queuing theory. It starts by introducing readers to the terminology and usefulness of queueing theory and continues by considering Markovian queues in equilibrium, Littles law, reversibility, transient analysis, and computation, plus the M/G/1 queuing system. It then moves on to cover networks of queues, and concludes with techniques for numerical solutions, a discussion of the PANACEA technique, discrete time queueing systems and simulation, and stochastic Petri networks. The whole is backed by case studies of distributed queueing networks arising in industrial applications. This third edition includes a new chapter on self-similar traffic, many new problems, and solutions for many exercises.
Author: J. R. Artalejo
Publisher: Springer Science & Business Media
ISBN: 3540787259
Category : Mathematics
Languages : en
Pages : 320
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Book Description
The application of auto-repeat facilities in telephone systems, as well as the use of random access protocols in computer networks, have led to growing interest in retrial queueing models. Since much of the theory of retrial queues is complex from an analytical viewpoint, with this book the authors give a comprehensive and updated text focusing on approximate techniques and algorithmic methods for solving the analytically intractable models. Retrial Queueing Systems: A Computational Approach also Presents motivating examples in telephone and computer networks. Establishes a comparative analysis of the retrial queues versus standard queues with waiting lines and queues with losses. Integrates a wide range of techniques applied to the main M/G/1 and M/M/c retrial queues, and variants with general retrial times, finite population and the discrete-time case. Surveys basic results of the matrix-analytic formalism and emphasizes the related tools employed in retrial queues. Discusses a few selected retrial queues with QBD, GI/M/1 and M/G/1 structures. Features an abundance of numerical examples, and updates the existing literature. The book is intended for an audience ranging from advanced undergraduates to researchers interested not only in queueing theory, but also in applied probability, stochastic models of the operations research, and engineering. The prerequisite is a graduate course in stochastic processes, and a positive attitude to the algorithmic probability.
Author: Hideaki Takagi
Publisher:
ISBN:
Category : Queueing theory
Languages : en
Pages : 508
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Book Description
