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Approximations In Finite Capacity Multi Server Queues With Poisson Arrivals
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Book Synopsis Approximations in Finite Capacity Multi-Server Queues with Poisson Arrivals by : Shirley A. Nozaki
Download or read book Approximations in Finite Capacity Multi-Server Queues with Poisson Arrivals written by Shirley A. Nozaki and published by . This book was released on 1977 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper considers an M/G/K queueing model having finite capacity N. That is, a model in which customers, arriving in accordance with a Poisson process having rate lambda, enter the system if there are less than N others present when they arrive, and are then serviced by one of k servers, each of whom has service distribution G. Upon entering, a customer will either immediately enter service if at least one server is free or else join the queue if all servers are busy. Our results will be independent of the order of service of those waiting in queue as long as it is supposed that a server will never remain idle if customers are waiting. To facilitate the analysis, however, assume a service discipline of first come first to enter service.
Book Synopsis Approximations in Multi-server Poisson Queues by : Shirley A. Nozaki
Download or read book Approximations in Multi-server Poisson Queues written by Shirley A. Nozaki and published by . This book was released on 1976 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our major objective is to obtain an approximation for the average time spent waiting in queue by a customer in an M/G/k queueing system--call it W sub Q. This is done by means of an approximation assumption presented, which is shown to be asymptotically valid both in heavy and in light traffic. The approximation assumption is used to derive an approximation for W sub Q. Numerical comparison with tables given by Hillier-Lo in the special case of Erlang service times indicate that the approximation, which depends on the service distribution only through its first two moments, works remarkably well. In addition, as a by-product of our analysis, we also obtain approximations for the distribution of the number of busy servers and the mean length and number of customers in a busy period. These latter approximations depend on the service distribution only through its mean. The approximation assumption is valid and leads to the exact result in the case of a limited capacity system where no queue is allowed to form.
Book Synopsis Stochastic Models in Operations Research by : Daniel P. Heyman
Download or read book Stochastic Models in Operations Research written by Daniel P. Heyman and published by Courier Corporation. This book was released on 2004-01-01 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of a 2-volume set explores the central facts and ideas of stochastic processes, illustrating their use in models based on applied and theoretical investigations. Explores stochastic processes, operating characteristics of stochastic systems, and stochastic optimization. Comprehensive in its scope, this graduate-level text emphasizes the practical importance, intellectual stimulation, and mathematical elegance of stochastic models.
Book Synopsis Analysis of Queues by : Natarajan Gautam
Download or read book Analysis of Queues written by Natarajan Gautam and published by CRC Press. This book was released on 2012-04-26 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written with students and professors in mind, Analysis of Queues: Methods and Applications combines coverage of classical queueing theory with recent advances in studying stochastic networks. Exploring a broad range of applications, the book contains plenty of solved problems, exercises, case studies, paradoxes, and numerical examples. In addition to the standard single-station and single class discrete queues, the book discusses models for multi-class queues and queueing networks as well as methods based on fluid scaling, stochastic fluid flows, continuous parameter Markov processes, and quasi-birth-and-death processes, to name a few. It describes a variety of applications including computer-communication networks, information systems, production operations, transportation, and service systems such as healthcare, call centers and restaurants.
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 1977 with total page 1006 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algorithms and Approximations for Queueing Systems by : M. H. van Hoorn
Download or read book Algorithms and Approximations for Queueing Systems written by M. H. van Hoorn and published by . This book was released on 1984 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Probability Models by : Sheldon M. Ross
Download or read book Introduction to Probability Models written by Sheldon M. Ross and published by Academic Press. This book was released on 2007 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rosss classic bestseller has been used extensively by professionals and as the primary text for a first undergraduate course in applied probability. With the addition of several new sections relating to actuaries, this text is highly recommended by the Society of Actuaries.
Book Synopsis A First Course in Stochastic Models by : Henk C. Tijms
Download or read book A First Course in Stochastic Models written by Henk C. Tijms and published by John Wiley and Sons. This book was released on 2003-07-22 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of applied probability has changed profoundly in the past twenty years. The development of computational methods has greatly contributed to a better understanding of the theory. A First Course in Stochastic Models provides a self-contained introduction to the theory and applications of stochastic models. Emphasis is placed on establishing the theoretical foundations of the subject, thereby providing a framework in which the applications can be understood. Without this solid basis in theory no applications can be solved. Provides an introduction to the use of stochastic models through an integrated presentation of theory, algorithms and applications. Incorporates recent developments in computational probability. Includes a wide range of examples that illustrate the models and make the methods of solution clear. Features an abundance of motivating exercises that help the student learn how to apply the theory. Accessible to anyone with a basic knowledge of probability. A First Course in Stochastic Models is suitable for senior undergraduate and graduate students from computer science, engineering, statistics, operations resear ch, and any other discipline where stochastic modelling takes place. It stands out amongst other textbooks on the subject because of its integrated presentation of theory, algorithms and applications.
Book Synopsis Applied Probability— Computer Science: The Interface by : Ralph L. Disney
Download or read book Applied Probability— Computer Science: The Interface written by Ralph L. Disney and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 1987-04 with total page 946 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Matrix-geometric Solutions in Stochastic Models by : Marcel F. Neuts
Download or read book Matrix-geometric Solutions in Stochastic Models written by Marcel F. Neuts and published by Courier Corporation. This book was released on 1994-01-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics include matrix-geometric invariant vectors, buffer models, queues in a random environment and more.
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 Performance Modeling and Design of Computer Systems by : Mor Harchol-Balter
Download or read book Performance Modeling and Design of Computer Systems written by Mor Harchol-Balter and published by Cambridge University Press. This book was released on 2013-02-18 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tackling the questions that systems designers care about, this book brings queueing theory decisively back to computer science. The book is written with computer scientists and engineers in mind and is full of examples from computer systems, as well as manufacturing and operations research. Fun and readable, the book is highly approachable, even for undergraduates, while still being thoroughly rigorous and also covering a much wider span of topics than many queueing books. Readers benefit from a lively mix of motivation and intuition, with illustrations, examples and more than 300 exercises – all while acquiring the skills needed to model, analyze and design large-scale systems with good performance and low cost. The exercises are an important feature, teaching research-level counterintuitive lessons in the design of computer systems. The goal is to train readers not only to customize existing analyses but also to invent their own.
Book Synopsis A Queueing Model for a Multi-server and Multi-class Customer System by : Seuck-Cheun Yoo
Download or read book A Queueing Model for a Multi-server and Multi-class Customer System written by Seuck-Cheun Yoo and published by . This book was released on 1989 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Assembly Line Design by : We-Min Chow
Download or read book Assembly Line Design written by We-Min Chow and published by CRC Press. This book was released on 2020-12-18 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book attempts to treat line design and its related subjects in a cohesive manner, with an emphasis on design applications. It discusses general guidelines for setting up assumptions and determining line performance parameters, based on empirical data from literature reports.
Book Synopsis Introduction to Probability Models, ISE by : Sheldon M. Ross
Download or read book Introduction to Probability Models, ISE written by Sheldon M. Ross and published by Academic Press. This book was released on 2006-11-17 with total page 801 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ross's classic bestseller, Introduction to Probability Models, has been used extensively by professionals and as the primary text for a first undergraduate course in applied probability. It provides an introduction to elementary probability theory and stochastic processes, and shows how probability theory can be applied to the study of phenomena in fields such as engineering, computer science, management science, the physical and social sciences, and operations research. With the addition of several new sections relating to actuaries, this text is highly recommended by the Society of Actuaries. A new section (3.7) on COMPOUND RANDOM VARIABLES, that can be used to establish a recursive formula for computing probability mass functions for a variety of common compounding distributions. A new section (4.11) on HIDDDEN MARKOV CHAINS, including the forward and backward approaches for computing the joint probability mass function of the signals, as well as the Viterbi algorithm for determining the most likely sequence of states. Simplified Approach for Analyzing Nonhomogeneous Poisson processes Additional results on queues relating to the (a) conditional distribution of the number found by an M/M/1 arrival who spends a time t in the system; (b) inspection paradox for M/M/1 queues (c) M/G/1 queue with server breakdown Many new examples and exercises.
Book Synopsis Communication Infrastructures for Cloud Computing by : Mouftah, Hussein T.
Download or read book Communication Infrastructures for Cloud Computing written by Mouftah, Hussein T. and published by IGI Global. This book was released on 2013-09-30 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cloud computing has provided multiple advantages as well as challenges to software and infrastructure services. In order to be fully beneficial, these challenges facing cloud specific communication protocols must be addressed. Communication Infrastructures for Cloud Computing presents the issues and research directions for a broad range of cloud computing aspects of software, computing, and storage systems. This book will highlight a broad range of topics in communication infrastructures for cloud computing that will benefit researchers, academics, and practitioners in the active fields of engineering, computer science, and software.
