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An Approximation Procedure For General Closed Multiclass Queueing Networks With Deterministic Routing
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Book Synopsis An Approximation Procedure for General Closed Multiclass Queueing Networks with Deterministic Routing by : Vijay Mehrotra
Download or read book An Approximation Procedure for General Closed Multiclass Queueing Networks with Deterministic Routing written by Vijay Mehrotra and published by . This book was released on 1992 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multiproduct Queueing Networks With Deterministic Routing by : Gabriel R. Bitran
Download or read book Multiproduct Queueing Networks With Deterministic Routing written by Gabriel R. Bitran and published by . This book was released on 2015-08-05 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Multiproduct Queueing Networks With Deterministic Routing: Decomposition Approach and the Notion of Interference Queueing networks have been used to model the performance of a variety of complex systems, however, exact results exist for a limited class of networks. The methodology that has been used extensively to analyse networks of queues is the decomposition approach. In this paper, we consider open queueing networks with multiple product classes, deterministic routings and general arrival and service distributions. We examine the decomposition method for such systems and show that it provides estimates of key parameters with an accuracy that is not acceptable in many practical settings. Recognizing this weakness, we enriched the approach by modelling a phenomenon previously ignored. We consider interference among products and describe its effect on the variance of the departure streams. The recognition of this effect has significantly improved the performance of this methodology. We provide extensive experimental results based on the data of a manufacturer of semiconductor devices. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Book Synopsis Multiproduct Queueing Networks with Deterministic Routing: Decomposition Approach and the Notion of Interference by : Gabriel R. Bitran
Download or read book Multiproduct Queueing Networks with Deterministic Routing: Decomposition Approach and the Notion of Interference written by Gabriel R. Bitran and published by Palala Press. This book was released on 2018-02-19 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis Fundamentals of Queueing Networks by : Hong Chen
Download or read book Fundamentals of Queueing Networks written by Hong Chen and published by Springer Science & Business Media. This book was released on 2001-06-15 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The selection of materials is well balanced in breadth and depth, making the book an ideal graduate-level text for students in engineering, business, applied mathematics, and probability and statistics.
Book Synopsis Tandem Queuing Model for Production Line with Downtimes by : Ruth Sagron
Download or read book Tandem Queuing Model for Production Line with Downtimes written by Ruth Sagron and published by . This book was released on 2017 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Queuing networks are frequently used to predict the performance of complex manufacturing systems. Yet, existing queuing network approximations cannot properly cope with downtime events (e.g. set-up, maintenance) in manufacturing lines. These events involve significant interference among classes and generate non-renewable flows with very high variability, while causing starvation as well as blocking of bottleneck queues. Frequently, simulation models are used in such practical situations. Yet, they are expensive and time-consuming to model, update, and run. We consider systems with downtimes as multi-class systems in open and tandem queuing networks, with class-dependent service and routing, in which Class-1 represents the class of interest, and Class-2 represents the downtime events. We focus our analysis on a tandem queue in which the last queue is a bottleneck which may experience starvation, thus blocking in not in our scope. Two-moment decomposition, which is a common method for performance prediction in queueing networks, is the natural choice. Thus, the primary objective of this work is improving the existing multiclass decomposition methods with deterministic routing. Decomposition methods decompose the queuing network into a set of separate queues having independent arrival processes. Since in a tandem topology the departure from one queue is the arrival to the next, the focus in this work is turned to departure processes. First, we investigate these processes in a single queue. Then we analyze and improve the second moment approximations of the departure processes within the tandem queues. Here, in addition to the Class-1 arrival and service processes, interference created by Class-2 is taken into consideration; therefore, analyzing the departure process for each class is needed. In the first phase of the work, we investigate the inter-departure time distribution in a G/G/1 queue. Initially, we exploit the probabilistic interpretation of the phase-type distributions for deriving an explicit expression of the Laplace-Stieltjes transform (LST) of the inter-departure times in various cases of PH/G/1 queues. Then we use these results in expressing the LST of the inter-departure times in more general queues. By the specific result of a Cm/G/1 queue, we show that the LST of inter-departure times of any Km/G/1 queue can be expressed explicitly. In addition, we show that the LST of inter-departure times of any G/G/1 queue with continuous inter-arrival distribution can be approximated appropriately by a PH/G/1 queue. These results play an important role in improving the accuracy of approximations used for studying and predicting the performance of open queuing networks. In our work, these results improve the efficiency of our approximation method, as is detailed in the third phase. In the second phase of the work, we introduce the bottleneck phenomenon caused by interference (e.g. by downtimes) within the network, while improving the basic structure of class-departure variability. Our analysis illustrates that this variability can be expressed as the sum of two components. The first component reflects the withinclass effect - the variability caused by the class' own inter-arrival and service time distributions, and the second reflects the between-class effect - the variability caused by interactions with other classes. We integrate the existing decomposition methods with two variability functions, one for each effect. Our analysis shows that the withinclass effect can be approximated by the existing variability function proposed by Kim (2005), while the between-class effect requires a new function. In this phase, we propose an initial function for the latter effect requiring high computation efforts due to many sub-simulations. In the third phase of the work, we introduce an advanced function for the betweenclass effect: Regression-Based Variability Function. This function depends on downstream waiting time and exploits the analysis of departure from a single queue, while employing the developments in the first phase on this work. The RegressionBased Variability Function model significantly reduces computation efforts, except for one sub-simulation for each traffic intensity level. With this model, we also show that predicting the performance of n-tandem queues is possible by reducing the focus to 2tandem queues for each traffic intensity level. Our proposed method has been examined via simulation for scenarios of n-tandem queues with bottleneck under downtimes with FCFS and priority policies. In such scenarios, the results demonstrate a relative error three times smaller than the best relevant existing procedures in the literature. -- abstract.
Book Synopsis Introduction to Queueing Networks by : J. MacGregor Smith
Download or read book Introduction to Queueing Networks written by J. MacGregor Smith and published by Springer. This book was released on 2018-08-28 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book examines the performance and optimization of systems where queueing and congestion are important constructs. Both finite and infinite queueing systems are examined. Many examples and case studies are utilized to indicate the breadth and depth of the queueing systems and their range of applicability. Blocking of these processes is very important and the book shows how to deal with this problem in an effective way and not only compute the performance measures of throughput, cycle times, and WIP but also to optimize the resources within these systems. The book is aimed at advanced undergraduate, graduate, and professionals and academics interested in network design, queueing performance models and their optimization. It assumes that the audience is fairly sophisticated in their mathematical understanding, although the explanations of the topics within the book are fairly detailed.
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2007 with total page 1044 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Performance Analysis of Closed Queueing Networks by : Svenja Lagershausen
Download or read book Performance Analysis of Closed Queueing Networks written by Svenja Lagershausen and published by Springer Science & Business Media. This book was released on 2012-10-24 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the performance analysis of closed queueing networks with general processing times and finite buffer spaces. It offers a detailed introduction to the problem and a comprehensive literature review. Two approaches to the performance of closed queueing networks are presented. One is an approximate decomposition approach, while the second is the first exact approach for finite-capacity networks with general processing times. In this Markov chain approach, queueing networks are analyzed by modeling the entire system as one Markov chain. As this approach is exact, it is well-suited both as a reference quantity for approximate procedures and as extension to other queueing networks. Moreover, for the first time, the exact distribution of the time between processing starts is provided.
Book Synopsis An Approximation Method for Closed Queueing Networks with Two-phase Servers by : Jan B. M. van Doremalen
Download or read book An Approximation Method for Closed Queueing Networks with Two-phase Servers written by Jan B. M. van Doremalen and published by . This book was released on 1985 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Queueing Networks by : Jean Walrand
Download or read book An Introduction to Queueing Networks written by Jean Walrand and published by . This book was released on 1988 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Convergence of Multiclass Queueing Networks in Heavy Traffic (Classic Reprint) by : J. G. Dai
Download or read book On the Convergence of Multiclass Queueing Networks in Heavy Traffic (Classic Reprint) written by J. G. Dai and published by Forgotten Books. This book was released on 2018-02-13 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from On the Convergence of Multiclass Queueing Networks in Heavy Traffic In his pioneering paper on queueing networks, Jackson [22] assumed that customers visiting or occupying any given station are essentially indistinguishable from one another, and that a customer completing service at station i will move next to station j with some fixed probability n, independent of all previous history. Thus in Jackson's networks, each station serves a single customer class, hence these networks have been called single-class networks. Jackson's model was extended by Baskett ci al. [1] and Kelly [24] to networks populated by multiple types of customers, each type following a deterministic route. The routing mechanism described in this paper subsumes those considered in [1, Readers are referred to Harrison [14] and Harrison and Nguyen [15, 16] for further discussion. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Book Synopsis Introduction to Stochastic Networks by : Richard Serfozo
Download or read book Introduction to Stochastic Networks written by Richard Serfozo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with Jackson networks and ending with spatial queuing systems, this book describes several basic stochastic network processes, with the focus on network processes that have tractable expressions for the equilibrium probability distribution of the numbers of units at the stations. Intended for graduate students and researchers in engineering, science and mathematics interested in the basics of stochastic networks that have been developed over the last twenty years, the text assumes a graduate course in stochastic processes without measure theory, emphasising multi-dimensional Markov processes. Alongside self-contained material on point processes involving real analysis, the book also contains complete introductions to reversible Markov processes, Palm probabilities for stationary systems, Little laws for queuing systems and space-time Poisson processes.
Book Synopsis Introduction to Queueing Networks by : Erol Gelenbe
Download or read book Introduction to Queueing Networks written by Erol Gelenbe and published by John Wiley & Sons. This book was released on 1987 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Miscellaneous.
Download or read book Naval Research Logistics written by and published by . This book was released on 2005 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scheduling Network of Queues by : Lawrence M. Wein
Download or read book Scheduling Network of Queues written by Lawrence M. Wein and published by . This book was released on 2015-08-05 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Scheduling Network of Queues: Heavy Traffic Analysis of a Multistation Network With Controllable Inputs Motivated by a factory scheduling problem, we consider the problem of input control (subject to a specified input mix) and priority sequencing in a multistation, multiclass queueing network with general service time distributions and a general routing structure. The objective is to minimize the long-run expected average number of customers in the system subject to a constraint on the long-run expected average output rate. Under balanced heavy loading conditions, this scheduling problem can be approximated by a control problem involving Brownian motion. Linear programming is used to reduce the workload formulation of this control problem to a constrained singular control problem for a multidimensional Brownian motion. The finite difference approximation method is then used to find a linear programming solution to the latter problem. The solution is interpreted in terms of the original queueing system in order to obtain an effective scheduling policy. The priority sequencing policy is based on dynamic reduced costs from a linear program, and the workload regulating input policy releases a customer into the system whenever the workload process enters a particular region. An example is provided that illustrates the procedure and demonstrates its effectiveness. Subject classification: Production/scheduling: priority sequencing in a stochastic job shop. Queues: Brownian models of network scheduling problems. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Book Synopsis Computational Algorithms for Closed Queueing Networks by : Steven C. Bruell
Download or read book Computational Algorithms for Closed Queueing Networks written by Steven C. Bruell and published by North-Holland. This book was released on 1980 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Queueing Networks in Heavy Traffic by : Martin Ira Reiman
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.
