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Author: Donald L. Iglehart Publisher: ISBN: Category : Queuing theory Languages : en Pages : 68
Book Description
Queueing systems with r arrival channels and s service channels are studied under the condition of heavy traffic: traffic intensity greater than or equal to one. Limit theorems are obtained for the random functions induced in D(0,1) by the following processes: total queue length, queue length at the ith server, total load, load at the ith server, virtual waiting time, waiting time of the nth arrival, number of departures, time of the nth arrival, and the time of the nth departure. Also limit theorems for certain functionals of the above processes are obtained as an immediate consequence of weak convergence.
Author: Donald L. Iglehart Publisher: ISBN: Category : Queuing theory Languages : en Pages : 68
Book Description
Queueing systems with r arrival channels and s service channels are studied under the condition of heavy traffic: traffic intensity greater than or equal to one. Limit theorems are obtained for the random functions induced in D(0,1) by the following processes: total queue length, queue length at the ith server, total load, load at the ith server, virtual waiting time, waiting time of the nth arrival, number of departures, time of the nth arrival, and the time of the nth departure. Also limit theorems for certain functionals of the above processes are obtained as an immediate consequence of weak convergence.
Author: Stanford University. Department of Operations Research Publisher: ISBN: Category : Queuing theory Languages : en Pages : 56
Book Description
The queueing system considered consist of r. independent arrival channels and s independent service channels. These systems are assumed to be in heavy traffic, that is, the traffic intensity is greater than or equal to 1. Functional laws of the iterated logarithm are obtained for the queue length, departure, load, and waiting time processes. As immediate corollaries, the ordinary laws of the iterated logarithm are obtained for these processes. Finally, as an application of the functional law of the iterated logarithm, a limit theorem is obtained for the fraction of time the queue length process is above a given function. (Author).
Author: Stanford University. Applied Mathematics and Statistics Laboratory Publisher: ISBN: Category : Languages : en Pages : 38
Book Description
Sequences of queueing facilities with r parallel arrival channels and s parallel service channels are studied under the conditions of heavy traffic: the associated sequences of traffic intensities approaching a limit greater than or equal to one. Weak convergence is obtained for sequences of random functions induced in D(0,1) by the basic queueing processes. Sequences of queueing systems in heavy traffic which are networks of the facilities described above are also investigated. Furthermore, customers are allowed to arrive and be served in batches.
Author: Harold Kushner Publisher: Springer Science & Business Media ISBN: 1461300053 Category : Mathematics Languages : en Pages : 522
Book Description
One of the first books in the timely and important area of heavy traffic analysis of controlled and uncontrolled stochastics networks, by one of the leading authors in the field. The general theory is developed, with possibly state dependent parameters, and specialized to many different cases of practical interest.
Author: Hong Chen Publisher: Springer Science & Business Media ISBN: 1475753012 Category : Mathematics Languages : en Pages : 407
Book Description
This accessible book aims to collect in a single volume the essentials of stochastic networks. Stochastic networks have become widely used as a basic model of many physical systems in a diverse range of fields. Written by leading authors in the field, this book is meant to be used as a reference or supplementary reading by practitioners in operations research, computer systems, communications networks, production planning, and logistics.
Author: L. Accardi Publisher: Springer Science & Business Media ISBN: 1461222249 Category : Mathematics Languages : en Pages : 370
Book Description
Senior probabilists from around the world with widely differing specialities gave their visions of the state of their specialty, why they think it is important, and how they think it will develop in the new millenium. The volume includes papers given at a symposium at Columbia University in 1995, but papers from others not at the meeting were added to broaden the coverage of areas. All papers were refereed.
Author: Biswa Nath Datta Publisher: Springer Science & Business Media ISBN: 1461514711 Category : Technology & Engineering Languages : en Pages : 298
Book Description
Applied and Computational Control, Signals, and Circuits: Recent Developments is an interdisciplinary book blending mathematics, computational mathematics, scientific computing and software engineering with control and systems theory, signal processing, and circuit simulations. The material consists of seven state-of-the-art review chapters, each written by a leading expert in that field. Each of the technical chapters deals exclusively with some of the recent developments involving applications and computations of control, signals and circuits. Also included is a Chapter focusing on the newly developed Fortran-based software library, called SLICOT, for control systems design and analysis. This collection will be an excellent reference work for research scientists, practicing engineers, and graduate level students of control and systems, circuit design, power systems and signal processing.
Author: A. B. Clarke Publisher: Springer Science & Business Media ISBN: 3642808387 Category : Mathematics Languages : en Pages : 371
Book Description
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: Alexander Dudin Publisher: Springer Nature ISBN: 3031093313 Category : Computers Languages : en Pages : 383
Book Description
This book constitutes revised selected papers of the 20th International Conference on Information Technologies and Mathematical Modelling, ITMM 2021, named after A.F. Terpugov, held in Tomsk, Russia, in December 2021. Due to the COVID-19 pandemic the conference was held in a virtual mode. The 28 full papers presented in this volume were carefully reviewed and selected from 89 submissions. The conference covers various aspects of information technologies, focusing on queueing theory, stochastic processes, Markov processes, renewal theory, network performance equation and network protocols.
Author: Donald L. Iglehart
Author: Donald L. Iglehart
Author: Stanford University. Department of Operations Research
Author: Stanford University. Applied Mathematics and Statistics Laboratory
Author: Harold Kushner
Author: Hong Chen
Author: L. Accardi
Author: Biswa Nath Datta
Author: A. B. Clarke
Author: Alexander Dudin
Author: United States. Federal Highway Administration