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Author : Karl Sigman
Publisher :
ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.60/5 ( download)
Download or read book Regeneration of Queues in Continuous Time written by Karl Sigman and published by . This book was released on 1986 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerald S. Shedler
Publisher : Springer Science & Business Media
ISBN 13 : 146121050X
Total Pages : 232 pages
Book Rating : 4.04/5 ( download)
Download or read book Regeneration and Networks of Queues written by Gerald S. Shedler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Networks of queues arise frequently as models for a wide variety of congestion phenomena. Discrete event simulation is often the only available means for studying the behavior of complex networks and many such simulations are non Markovian in the sense that the underlying stochastic process cannot be repre sented as a continuous time Markov chain with countable state space. Based on representation of the underlying stochastic process of the simulation as a gen eralized semi-Markov process, this book develops probabilistic and statistical methods for discrete event simulation of networks of queues. The emphasis is on the use of underlying regenerative stochastic process structure for the design of simulation experiments and the analysis of simulation output. The most obvious methodological advantage of simulation is that in principle it is applicable to stochastic systems of arbitrary complexity. In practice, however, it is often a decidedly nontrivial matter to obtain from a simulation information that is both useful and accurate, and to obtain it in an efficient manner. These difficulties arise primarily from the inherent variability in a stochastic system, and it is necessary to seek theoretically sound and computationally efficient methods for carrying out the simulation. Apart from implementation consider ations, important concerns for simulation relate to efficient methods for generating sample paths of the underlying stochastic process. the design of simulation ex periments, and the analysis of simulation output.
Author : H. Niemi
Publisher : VSP
ISBN 13 : 9789067641562
Total Pages : 308 pages
Book Rating : 4.61/5 ( download)
Download or read book Frontiers in Pure and Applied Probability written by H. Niemi and published by VSP. This book was released on 1993 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Evsey Morozov
Publisher : Springer Nature
ISBN 13 : 3030824381
Total Pages : 193 pages
Book Rating : 4.89/5 ( download)
Download or read book Stability Analysis of Regenerative Queueing Models written by Evsey Morozov and published by Springer Nature. This book was released on 2021-09-20 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stability analysis of stochastic models for telecommunication systems is an intensively studied topic. The analysis is, as a rule, a difficult problem requiring a refined mathematical technique, especially when one endeavors beyond the framework of Markovian models. The primary purpose of this book is to present, in a unified way, research into the stability analysis of a wide variety of regenerative queueing systems. It describes the theoretical foundations of this method, and then shows how it works with particular models, both classic ones as well as more recent models that have received attention. The focus lies on an in-depth and insightful mathematical explanation of the regenerative stability analysis method. The unique volume can serve as a textbook for students working in these and related scientific areas. The material is also of interest to engineers working in telecommunications field, who may be faced with the problem of stability of queueing systems.
Author : Vladimir V. Kalashnikov
Publisher : Springer Science & Business Media
ISBN 13 : 9401721971
Total Pages : 389 pages
Book Rating : 4.74/5 ( download)
Download or read book Mathematical Methods in Queuing Theory written by Vladimir V. Kalashnikov and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material of this book is based on several courses which have been delivered for a long time at the Moscow Institute for Physics and Technology. Some parts have formed the subject of lectures given at various universities throughout the world: Freie Universitat of Berlin, Chalmers University of Technology and the University of Goteborg, University of California at Santa Barbara and others. The subject of the book is the theory of queues. This theory, as a mathematical discipline, begins with the work of A. Erlang, who examined a model of a telephone station and obtained the famous formula for the distribution of the number of busy lines which is named after him. Queueing theory has been applied to the study of numerous models: emergency aid, road traffic, computer systems, etc. Besides, it has lead to several related disciplines such as reliability and inventory theories which deal with similar models. Nevertheless, many parts of the theory of queues were developed as a "pure science" with no practical applications. The aim of this book is to give the reader an insight into the mathematical methods which can be used in queueing theory and to present examples of solving problems with the help of these methods. Of course, the choice of the methods is quite subjective. Thus, many prominent results have not even been mentioned.
Author : Vladimir Anisimov
Publisher : John Wiley & Sons
ISBN 13 : 1789450047
Total Pages : 338 pages
Book Rating : 4.40/5 ( download)
Download or read book Queueing Theory 2 written by Vladimir Anisimov and published by John Wiley & Sons. This book was released on 2021-04-13 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to reflect the current cutting-edge thinking and established practices in the investigation of queueing systems and networks. This second volume includes eight chapters written by experts wellknown in their areas. The book conducts a stability analysis of certain types of multiserver regenerative queueing systems; a transient evaluation of Markovian queueing systems, focusing on closed-form distributions and numerical techniques; analysis of queueing models in service sectors using analytical and simulation approaches; plus an investigation of probability distributions in queueing models and their use in economics, industry, demography and environmental studies. This book also considers techniques for the control of information in queueing systems and their impact on strategic customer behavior, social welfare and the revenue of monopolists. In addition, applications of maximum entropy methods of inference for the analysis of a stable M/G/1 queue with heavy tails, and inventory models with positive service time - including perishable items and stock supplied using various algorithmic control policies ((s; S); (r;Q), etc.).
Author : D. L. Iglehart
Publisher : Springer
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4.31/5 ( download)
Download or read book Regenerative Simulation of Response Times in Networks of Queues written by D. L. Iglehart and published by Springer. This book was released on 1980-02-28 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerald S. Shedler
Publisher : Elsevier
ISBN 13 : 0080925723
Total Pages : 412 pages
Book Rating : 4.21/5 ( download)
Download or read book Regenerative Stochastic Simulation written by Gerald S. Shedler and published by Elsevier. This book was released on 1992-12-17 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simulation is a controlled statistical sampling technique that can be used to study complex stochastic systems when analytic and/or numerical techniques do not suffice. The focus of this book is on simulations of discrete-event stochastic systems; namely, simulations in which stochastic state transitions occur only at an increasing sequence of random times. The discussion emphasizes simulations on a finite or countably infinite state space. * Develops probabilistic methods for simulation of discrete-event stochastic systems * Emphasizes stochastic modeling and estimation procedures based on limit theorems for regenerative stochastic processes * Includes engineering applications of discrete-even simulation to computer, communication, manufacturing, and transportation systems * Focuses on simulations with an underlying stochastic process that can specified as a generalized semi-Markov process * Unique approach to simulation, with heavy emphasis on stochastic modeling * Includes engineering applications for computer, communication, manufacturing, and transportation systems
Author : Soeren Asmussen
Publisher : Springer Science & Business Media
ISBN 13 : 0387215255
Total Pages : 451 pages
Book Rating : 4.59/5 ( download)
Download or read book Applied Probability and Queues written by Soeren Asmussen and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a highly recommendable survey of mathematical tools and results in applied probability with special emphasis on queueing theory....The second edition at hand is a thoroughly updated and considerably expended version of the first edition.... This book and the way the various topics are balanced are a welcome addition to the literature. It is an indispensable source of information for both advanced graduate students and researchers." --MATHEMATICAL REVIEWS
Author : Vladimir V. Kalashnikov
Publisher : CRC Press
ISBN 13 : 9780849386411
Total Pages : 230 pages
Book Rating : 4.11/5 ( download)
Download or read book Topics on Regenerative Processes written by Vladimir V. Kalashnikov and published by CRC Press. This book was released on 1994-06-27 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regenerative processes are a popular subject in pure and applied probability, as well as in engineering (particularly simulation). This book provides important insight into new methods for investigating regenerative processes. Quantitative estimates play the key role in the book, and all developed methods support possibilities for obtaining such estimates, including probability metrics, test functions, crossing, and coupling. These methods are applied to a variety of problems, such as Markov chains, simulation, queueing systems, storage, and reliability. The book illustrates a unique application of the theory of probability metrics for examining regenerative processes, and it elaborates on the criteria required for uniform-in-time stability of wide sense regenerative processes. New accurate bounds of distribution functions of first occurrence times for regenerative models are also presented.
