Download or read book Multiple Channel Queues in Heavy Traffic II Sequences Networks and Batches written by Stanford University. Applied Mathematics and Statistics Laboratory and published by . This book was released on 1969 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Heavy Traffic Analysis of Controlled Queueing and Communication Networks written by Harold Kushner and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Multiple Channel Queues in Heavy Traffic written by Donald L. Iglehart and published by . This book was released on 1969 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Multiple Channel Queues in Heavy Traffic IV Law of the Iterated Logarithm written by Stanford University. Department of Operations Research and published by . This book was released on 1969 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Download or read book Mathematical Methods in Queueing Theory written by A. B. Clarke and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Applied and Computational Control Signals and Circuits written by Biswa Nath Datta and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Control Techniques for Complex Networks written by Sean Meyn and published by Cambridge University Press. This book was released on 2008 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: From foundations to state-of-the-art; the tools and philosophy you need to build network models.

Download or read book Performance Analysis of ATM Networks written by Demetres D. Kouvatsos and published by Springer. This book was released on 2013-06-05 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over recent years, a considerable amount of effort has been devoted, both in industry and academia, towards the performance modelling, evaluation and prediction of Asynchronous Transfer Mode (ATM) networks. This book describes recent advances in ATM networks reflecting the state-of-the-art technology and research achievements worldwide. In addition, it provides a fundamental source of reference in the ATM field. Research topics discussed in detail include: Traffic Modelling and Characterisation; Routing; Switch and Multiplexer Models; Call Admission Control (CAC); Congestion Control; Resource Allocation; Quality of Service (QoS); Tools and Techniques. This volume contains recently extended refereed papers of the 5th International Workshop on Performance Modelling and Evaluation of ATM Networks, which was sponsored by the International Federation for Information Processing (IFIP) and held in Ilkley, UK in July 1997. Performance Analysis of ATM Networks continues the tradition established by the first three IFIP volumes on the subject, and it is ideal for personnel in computer/communication industries as well as academic and research staff in computer science and electrical engineering.

Download or read book Queueing Networks in Heavy Traffic written by Martin Ira Reiman and published by . This book was released on 1977 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principle purpose of this report is to state and prove a limit theorem which justifies a diffusion approximation for general queueing networks. The K-dimensional vector queue length process is investigated for the network. Because of the general form assumed for the interarrival and service distributions, the process has no special structure such as the Markov property. In this generality, the network has proven to be intractable, hence the desire for an approximation. It is possible to define a traffic intensity for each station in the network. Heavy traffic is said to hold when all stations have traffic intensities close to unity. Mathematically, heavy traffic is interpreted through consideration of a sequence of queueing networks indexed (say) by n, each with its own parameters, defined in such a way that the traffic intensity of each station approaches unity as n approaches infinity. The state space of the limit process is the K-dimensional non-negative orthant. On the interior of its state space the process behaves as a multidimensional Brownian motion with an easily computed drift vector and covariance matrix. At each boundary surface the process reflects instantaneously. The directions of reflection are given by a simple expression involving only the routing matrix. After proving that the limit process is a diffusion, its generator is computed, justifying the above description.

Download or read book Naval Research Logistics Quarterly written by and published by . This book was released on 1984 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992 with total page 1572 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Urban Economics and Planning written by Defense Documentation Center (U.S.) and published by . This book was released on 1970 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Diffusion Approximation for Tandem Queues in Heavy Traffic written by Stanford University. Department of Operations Research and published by . This book was released on 1977 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consider a pair of single server queues arranged in series. A limit theorem was proved to justify a heavy traffic approximation for the (two-dimensional) equilibrium waiting time distribution. Specifically the waiting time distribution was shown to be approximated by the limit distribution F of a certain vector stochastic process Z. The process Z was defined as an explicit, but relatively complicated, transformation of vector Brownian Motion, and the general problem of determining F was left unsolved. It is shown that Z is a diffusion process (continuous strong Markov process) whose state space S is the non-negative quadrant. On the interior of S, the process behaves as an ordinary vector Brownian Motion, and it reflects instantaneously at each boundary surface (axis). At one axis, the reflection is normal, but at the other axis it has a tangential component as well. The generator of Z is calculated. It is shown that the limit distribution F is the solution of a first passage problem for a certain dual diffusion process Z*. The generator of Z* is calculated, and the analytical theory of Markov process is used to derive a partial differential equation (with boundary conditions) for the density f of F. Necessary and sufficient conditions are found for f to be separable (for the limit distribution to have independent components).

Download or read book Mathematical Methods in Queueing Theory written by A. Bruce Clarke and published by Springer. This book was released on 1974 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Journal of Applied Probability written by and published by . This book was released on 2000 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Determination of Unit Load Size in Cellular Manufacturing Environments with Intercell Material Flows written by Hyung-Kon Moon and published by . This book was released on 1988 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Limit theorems for queues in transportation systems written by and published by . This book was released on 1971 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic queueing models are formulated for three transportation systems. The first consists of a linear network of N+1 terminals served by S vehicles of fixed capacity. Customers arrive stochastically at terminal i, 1