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Efficient Algorithmic Solutions To Exponential Tandem Queues With Blocking
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Book Synopsis Efficient Algorithmic Solutions to Exponential Tandem Queues with Blocking by : Guy Latouche
Download or read book Efficient Algorithmic Solutions to Exponential Tandem Queues with Blocking written by Guy Latouche and published by . This book was released on 1978 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stable queueing systems consisting of two groups of servers, having exponential service times, placed in tandem and separated by a finite buffer, are shown to have a steady-state probability vector of matrix-geometric form. The queue is stable as long as the Poisson arrival rate does not exceed a critical value, which depends in a complicated manner on the service rates, the numbers of servers in each group, the size of the intermediate buffer and the unblocking rule followed when system becomes blocked. The critical input rate is determined in a unified manner. For stable queues, it is shown how the stationary probability vector and other important features of the queue may be computed. The essential step in the algorithm is the evaluation of the unique positive solution of a quadratic matrix equation. (Author).
Book Synopsis Markov Decision Processes in Practice by : Richard J. Boucherie
Download or read book Markov Decision Processes in Practice written by Richard J. Boucherie and published by Springer. This book was released on 2017-03-10 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents classical Markov Decision Processes (MDP) for real-life applications and optimization. MDP allows users to develop and formally support approximate and simple decision rules, and this book showcases state-of-the-art applications in which MDP was key to the solution approach. The book is divided into six parts. Part 1 is devoted to the state-of-the-art theoretical foundation of MDP, including approximate methods such as policy improvement, successive approximation and infinite state spaces as well as an instructive chapter on Approximate Dynamic Programming. It then continues with five parts of specific and non-exhaustive application areas. Part 2 covers MDP healthcare applications, which includes different screening procedures, appointment scheduling, ambulance scheduling and blood management. Part 3 explores MDP modeling within transportation. This ranges from public to private transportation, from airports and traffic lights to car parking or charging your electric car . Part 4 contains three chapters that illustrates the structure of approximate policies for production or manufacturing structures. In Part 5, communications is highlighted as an important application area for MDP. It includes Gittins indices, down-to-earth call centers and wireless sensor networks. Finally Part 6 is dedicated to financial modeling, offering an instructive review to account for financial portfolios and derivatives under proportional transactional costs. The MDP applications in this book illustrate a variety of both standard and non-standard aspects of MDP modeling and its practical use. This book should appeal to readers for practitioning, academic research and educational purposes, with a background in, among others, operations research, mathematics, computer science, and industrial engineering.
Book Synopsis A Note on Approximate Iterative Solution of Open Tandem Networks with Blocking by : Alexandre Brandwajn
Download or read book A Note on Approximate Iterative Solution of Open Tandem Networks with Blocking written by Alexandre Brandwajn and published by . This book was released on 1989 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: We also propose two variants of an iterative approach to the solution of the two-node cell used as the basic block in the tandem network solution. This approach uses directly conditional probability equations, and exploits the particular structure of a two-node tandem cell. Numerical results suggest that these two variants can be of particular value when dealing with cells with unbalanced buffer capabilities."
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1979 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Capacity Oriented Analysis and Design of Production Systems by : M.B.M. de Koster
Download or read book Capacity Oriented Analysis and Design of Production Systems written by M.B.M. de Koster and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: In production systems there are often capacity oriented performance objectives, like a desired total throughput, a desired average throughput time and average work in-process. Such performance objectives are expressed in "units of products" rather than in specific product types. This book presents a way of modeling and analyzing production systems so, that such capacity oriented performance criteria can be measured in a simple way. The model consists of three basic elements. 1. The product types in the system are aggregated. 2. The product flow is modeled as being continuous. 3. The machines in the model have a finite number of states. Each state has a phase-type sojourn distribution and an associated production speed. Transitions between the states are determined by an irreducible Markov transition matrix. In the book both the mathematical properties and the practical applicabilities of the model are investigated. The model is extensively analyzed for various layouts, like flow lines, assembly disassembly systems and networks where parallel machines share common buffers. Furthermore various ways of controlling the product flow in the model are investigated, such as Base Stock Control, Workload Control, control by finite buffers and control by the Reorder Point System. An approximation technique is developed for a quick estimation of performance measures like throughput and average work-in-process, for networks with layouts and control techniques like those above-mentioned.
Book Synopsis Queuing Models in Industry and Business by : Aliakbar Montazer Haghighi
Download or read book Queuing Models in Industry and Business written by Aliakbar Montazer Haghighi and published by Nova Publishers. This book was released on 2008 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies on queueing models and their publication in professional journals and textbooks have been sparse over the past eleven decades. Collections of some of these studies have appeared either as single volumes or just chapters of single volumes and/or monographs. This book is an attempt to present some queuing models, especially those applicable in business and industry, in a style between a monograph and a textbook. Also the need of researchers and practitioners for a handbook-type text and the current lack of it explain the need for a book of this kind. Most of the basic terminologies and concepts that appear throughout the text are introduced in a systematic way in the first two chapters; nevertheless, previous exposition to a first course in probability and statistics is advised for later chapters.
Book Synopsis Queueing Theory in Manufacturing Systems Analysis and Design by : H.T. Papadopolous
Download or read book Queueing Theory in Manufacturing Systems Analysis and Design written by H.T. Papadopolous and published by Springer Science & Business Media. This book was released on 1993-09-30 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of the book is to acquaint the reader with the use of queueing theory in the analysis of manufacturing systems.
Book Synopsis Queueing Networks by : Richard J. Boucherie
Download or read book Queueing Networks written by Richard J. Boucherie and published by Springer Science & Business Media. This book was released on 2010-11-25 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook aims to highlight fundamental, methodological and computational aspects of networks of queues to provide insights and to unify results that can be applied in a more general manner. The handbook is organized into five parts: Part 1 considers exact analytical results such as of product form type. Topics include characterization of product forms by physical balance concepts and simple traffic flow equations, classes of service and queue disciplines that allow a product form, a unified description of product forms for discrete time queueing networks, insights for insensitivity, and aggregation and decomposition results that allow sub networks to be aggregated into single nodes to reduce computational burden. Part 2 looks at monotonicity and comparison results such as for computational simplification by either of two approaches: stochastic monotonicity and ordering results based on the ordering of the process generators, and comparison results and explicit error bounds based on an underlying Markov reward structure leading to ordering of expectations of performance measures. Part 3 presents diffusion and fluid results. It specifically looks at the fluid regime and the diffusion regime. Both of these are illustrated through fluid limits for the analysis of system stability, diffusion approximations for multi-server systems, and a system fed by Gaussian traffic. Part 4 illustrates computational and approximate results through the classical MVA (mean value analysis) and QNA (queueing network analyzer) for computing mean and variance of performance measures such as queue lengths and sojourn times; numerical approximation of response time distributions; and approximate decomposition results for large open queueing networks. spanPart 5 enlightens selected applications as spanloss networks originating from circuit switched telecommunications applications, capacity sharing originating from packet switching in data networks, and a hospital application that is of growing present day interest. spanThe book shows that spanthe intertwined progress of theory and practicespan will remain to be most intriguing and will continue to be the basis of further developments in queueing networks.
Book Synopsis Network Control and Optimization by : Tijani Chahed
Download or read book Network Control and Optimization written by Tijani Chahed and published by Springer. This book was released on 2007-10-24 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the First Euro-FGI International Conference on Network Control and Optimization, NET-COOP 2007, held in Avignon, France in June 2007. The 22 revised full papers presented together with nine invited lectures address all current issues in network control and optimization, ranging from performance evaluation and optimization of general stochastic networks to more specific targets.
Book Synopsis Recent Advances in Statistics and Probability by : José Pérez Vilaplana
Download or read book Recent Advances in Statistics and Probability written by José Pérez Vilaplana and published by VSP. This book was released on 1994-01-01 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, significant progress has been made in statistical theory. New methodologies have emerged, as an attempt to bridge the gap between theoretical and applied approaches. This volume presents some of these developments, which already have had a significant impact on modeling, design, and analysis of statistical experiments. The chapters cover a wide range of topics of current interest in applied as well as theoretical statistics and probability. They include some aspects of the design of experiments in which there are current developments: regression methods, decision theory, nonparametric theory, simulation and computational statistics, time series, reliability, and queueing networks. Also included are chapters on some aspects of probability theory, which, apart from their intrinsic mathematical interest, have significant applications in statistics.
Book Synopsis Structured Stochastic Matrices of M/G/1 Type and Their Applications by : Marcel F. Neuts
Download or read book Structured Stochastic Matrices of M/G/1 Type and Their Applications written by Marcel F. Neuts and published by CRC Press. This book was released on 2021-12-16 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Approximate Analysis of Open Exponential Queueing Networks with Blocking: General Configuration by : HYO-SEONG LEE AND STEPHEN M. POLLOCK
Download or read book Approximate Analysis of Open Exponential Queueing Networks with Blocking: General Configuration written by HYO-SEONG LEE AND STEPHEN M. POLLOCK and published by . This book was released on 1987 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modeling Techniques and Tools for Computer Performance Evaluation by : Ramon Puigjaner
Download or read book Modeling Techniques and Tools for Computer Performance Evaluation written by Ramon Puigjaner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Matrix Analytic Methods in Stochastic Modeling by : G. Latouche
Download or read book Introduction to Matrix Analytic Methods in Stochastic Modeling written by G. Latouche and published by SIAM. This book was released on 1999-01-01 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix analytic methods are popular as modeling tools because they give one the ability to construct and analyze a wide class of queuing models in a unified and algorithmically tractable way. The authors present the basic mathematical ideas and algorithms of the matrix analytic theory in a readable, up-to-date, and comprehensive manner. In the current literature, a mixed bag of techniques is used-some probabilistic, some from linear algebra, and some from transform methods. Here, many new proofs that emphasize the unity of the matrix analytic approach are included.
Book Synopsis Queueing Networks with Blocking by : Harry G. Perros
Download or read book Queueing Networks with Blocking written by Harry G. Perros and published by . This book was released on 1994 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a systematic presentation of exact and approximate results for open and closed queueing networks with blocking. Topics include: exact analysis of two-node open queueing networks with blocking, approximate decomposition algorithms for tandem and arbitrary configurations of open queueing networks with blocking, exact product-form solutions for closed queueing networks with blocking, and approximate solutions for non-product form closed queueing networks with blocking. Related topics are discussed as well, including equivalencies of blocking mechanisms, numerical solutions for Markov chains, and real-life applications of queueing networks with blocking. Each chapter is augmented with an extensive literature and references. Ideal for researchers, students, and professionals involved with the performance evaluation of computers, communication networks, and production systems, the book is a must for those who would like to learn how to analyze queueing networks with blocking.
Download or read book Technical Abstract Bulletin written by and published by . This book was released on 1980 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Distributed Computer and Communication Networks by : Vladimir M. Vishnevskiy
Download or read book Distributed Computer and Communication Networks written by Vladimir M. Vishnevskiy and published by Springer Nature. This book was released on 2019-12-18 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 22nd International Conference on Distributed and Computer and Communication Networks, DCCN 2019, held in Moscow, Russia, in September 2019. The 50 full papers and 2 short papers were carefully reviewed and selected from 174 submissions. The papers cover the following topics: Computer and Communication Networks and Technologies, Analytical Modeling of Distributed Systems, and Distributed Systems Applications.