Mathematical Methods In The Theory Of Queuing PDF Download
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| Author | : A. Y. Khinchin |
| Publisher | : Courier Corporation |
| Total Pages | : 130 |
| Release | : 2013-01-01 |
| Genre | : Mathematics |
| ISBN | : 0486490963 |
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Written by a prominent Russian mathematician, this concise monograph examines aspects of queuing theory as an application of probability. Prerequisites include a familiarity with the theory of probability and mathematical analysis. Students and professionals in operations research as well as applied mathematicians will find this elegant, ground-breaking work of substantial interest. 1960 edition.
| Author | : Vladimir V. Kalashnikov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 402 |
| Release | : 1993-12-31 |
| Genre | : Mathematics |
| ISBN | : 9780792325680 |
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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 V. Kalashnikov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 389 |
| Release | : 2013-04-18 |
| Genre | : Mathematics |
| ISBN | : 9401721971 |
Download Mathematical Methods in Queuing Theory Book in PDF, ePub and Kindle
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 | : United States |
| Publisher | : |
| Total Pages | : 374 |
| Release | : 1974 |
| Genre | : Queuing theory |
| ISBN | : |
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| Author | : Eric Wolman |
| Publisher | : |
| Total Pages | : 124 |
| Release | : 1969 |
| Genre | : Queuing theory |
| ISBN | : |
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| Author | : Aleksandr I͡Akovlevich Khinchin |
| Publisher | : |
| Total Pages | : 132 |
| Release | : 1969 |
| Genre | : Mathematics |
| ISBN | : |
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| Author | : A. B. Clarke |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 371 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642808387 |
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On May 10-12, 1973 a Conference on Mathematical Methods in Graph Theory was held at Western Michigan University in Kalamazoo. The theme of this Conference was recent advances in the application of analytic and algebraic methods to the analysis of queues and queueing networks. In addition some discussion was given to statistical analy ses in queues, control problems and graphical methods. A total of 83 individuals from both industry and academic estab lishments participated in the Conference. A list of these partici pants can be found on page 373. A total of 18 papers were presented, with sUbstantial time being devoted to their informal discussion. This volume constitutes the proceedings of the Conference, and includes all papers presented. TABLE OF CONTENTS MARCEL F. NEUTS The Markov Renewal Branching Process • 1 RALPH L. DISNEY and W. PETER CHERRY Some Topics in Queueing Network Theory 23 JULIAN KEILSON Convexity and Complete Monotonicity in Queueing Distributions and Associated Limit Behavior . • • • • • . . • • • •• • • 45 G. F. NEWELL Graphical Representation of Queue Evolution for Multiple-Server Systems • . • • • • • • • • • • 63 N. U. PRABHU Wiener-Hopf Techniques in Queueing Theory 81 / IAJOS TAKACS Occupation Time Problems in the Theory of Queues 91 TAPAN P. BAGCHI and J. G. C. TEMPLETON Some Finite waiting Space Bulk Queueing Systems 133 U.
| Author | : Aleksandr Alekseevich Borovkov |
| Publisher | : John Wiley & Sons |
| Total Pages | : 310 |
| Release | : 1984 |
| Genre | : Asymptotic expansions |
| ISBN | : |
Download Asymptotic Methods in Queuing Theory Book in PDF, ePub and Kindle
| Author | : Aleksandr Yakovlevich Khintchin |
| Publisher | : |
| Total Pages | : 124 |
| Release | : 1960 |
| Genre | : Queuing theory |
| ISBN | : |
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| Author | : Vladimir Kalashnikov |
| Publisher | : Springer |
| Total Pages | : 431 |
| Release | : 2013-01-03 |
| Genre | : Science |
| ISBN | : 9781468414776 |
Download Mathematical Methods for Construction of Queueing Models Book in PDF, ePub and Kindle
to the English edition Many processes that describe the operation of engineering, economic, organiza tional, and other systems are represented as sequences of operations performed on material, information, or other types of flows. Typical examples are processes of connection of telephone users, data transmission and processing, calculation at multi user computer centers, and queueing at service centers. The models studied by the theory of service systems, or queueing theory, are used to describe such processes. The more pessimistic term "queueing theory" is used more often in the non-Soviet literature. Random arrivals (requests for service), probability distributions defining queueing processes (distributions of service times and acceptable waiting times), and structure parameters (customer priorities, parameters that delimit acceptable queues, parameters that define paths of customers, etc.) are characteristic com ponents of queueing models. Typical output characteristics of queueing models are the probability distributions of queue lengths, waiting times, lengths of busy periods, and so forth.
