Functional Limit Theorems for the Queue GI/G/1 in Light Traffic PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Functional Limit Theorems for the Queue GI/G/1 in Light Traffic PDF full book. Access full book title Functional Limit Theorems for the Queue GI/G/1 in Light Traffic by Stanford University. Department of Operations Research. Download full books in PDF and EPUB format.
Author: Stanford University. Department of Operations Research Publisher: ISBN: Category : Languages : en Pages : 28
Book Description
A GI/G/1 queueing system in light traffic has the property of returning to the idle state infinitely often. The purpose of the paper is to exploit this property to develop limit theorems for several processes generated by this system. The principal processes of interest are the following: W sub n, the waiting time of the nth customer; Q(t), the number of customers in the system at time t; W(t), the virtual waiting time at time t; B(t), the amount of time the server is busy in (O, t); I(t), the amount of tie the server is idle in (O, t); and D(t), the cumulative number of customers departing the system in (O, t).
Author: Stanford University. Department of Operations Research Publisher: ISBN: Category : Languages : en Pages : 28
Book Description
A GI/G/1 queueing system in light traffic has the property of returning to the idle state infinitely often. The purpose of the paper is to exploit this property to develop limit theorems for several processes generated by this system. The principal processes of interest are the following: W sub n, the waiting time of the nth customer; Q(t), the number of customers in the system at time t; W(t), the virtual waiting time at time t; B(t), the amount of time the server is busy in (O, t); I(t), the amount of tie the server is idle in (O, t); and D(t), the cumulative number of customers departing the system in (O, t).
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: Ward Whitt Publisher: ISBN: Category : Queuing theory Languages : en Pages : 436
Book Description
Limit theorems are proved for unstable queueing systems. The GI/G/1 queue is the primary concern, but the theorems apply to more general systems in which the various independence assumptions are relaxed. Bulk queues, queues with several servers (GI/M/s), queues with a finite waiting room, and dams are also discussed. (Author).
Author: Neuts Publisher: CRC Press ISBN: 9780824782832 Category : Mathematics Languages : en Pages : 536
Book Description
This book deals with Markov chains and Markov renewal processes (M/G/1 type). It discusses numerical difficulties which are apparently inherent in the classical analysis of a variety of stochastic models by methods of complex analysis.
Author: Khalid Al-Begain Publisher: Springer Science & Business Media ISBN: 3642217125 Category : Computers Languages : en Pages : 356
Book Description
This book constitutes the refereed proceedings of the 18th International Conference on Analytical and Stochastic Modeling Techniques and Applications, ASMTA 2011, held in Venice, Italyin June 2011. The 24 revised full papers presented were carefully reviewed and selected from many submissions.The papers are organized in topical sections on queueing theory, software and computer systems, statistics and inference, telecommunication networks, and performance and performability.
Author: Reuven Y. Rubinstein Publisher: John Wiley & Sons ISBN: 0470317221 Category : Mathematics Languages : en Pages : 308
Book Description
This book provides the first simultaneous coverage of the statistical aspects of simulation and Monte Carlo methods, their commonalities and their differences for the solution of a wide spectrum of engineering and scientific problems. It contains standard material usually considered in Monte Carlo simulation as well as new material such as variance reduction techniques, regenerative simulation, and Monte Carlo optimization.
Author: David D. Yao Publisher: Springer Science & Business Media ISBN: 0387217576 Category : Business & Economics Languages : en Pages : 472
Book Description
This books covers the broad range of research in stochastic models and optimization. Applications presented include networks, financial engineering, production planning, and supply chain management. Each contribution is aimed at graduate students working in operations research, probability, and statistics.
Author: Stanford University. Department of Operations Research
Author: Stanford University. Department of Operations Research
Author: A. B. Clarke
Author: Ward Whitt
Author: 
Author: Neuts
Author: Khalid Al-Begain
Author: Jacob Willem Cohen
Author: Reuven Y. Rubinstein
Author: David D. Yao
Author: Harry Adelbert Guess