Download or read book Stochastic Dynamic Programming and the Control of Queueing Systems written by Linn I. Sennott and published by John Wiley & Sons. This book was released on 1998-09-30 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eine Zusammenstellung der Grundlagen der stochastischen dynamischen Programmierung (auch als Markov-Entscheidungsprozeß oder Markov-Ketten bekannt), deren Schwerpunkt auf der Anwendung der Queueing-Theorie liegt. Theoretische und programmtechnische Aspekte werden sinnvoll verknüpft; insgesamt neun numerische Programme zur Queueing-Steuerung werden im Text ausführlich diskutiert. Ergänzendes Material kann vom zugehörigen ftp-Server abgerufen werden. (12/98)
Download or read book Stochastic Models in Queueing Theory written by Jyotiprasad Medhi and published by Elsevier. This book was released on 2002-11-06 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate level textbook that covers the fundamental topics in queuing theory. The book has a broad coverage of methods to calculate important probabilities, and gives attention to proving the general theorems. It includes many recent topics, such as server-vacation models, diffusion approximations and optimal operating policies, and more about bulk-arrival and bull-service models than other general texts. - Current, clear and comprehensive coverage - A wealth of interesting and relevant examples and exercises to reinforce concepts - Reference lists provided after each chapter for further investigation
Download or read book Stochastic Network Optimization with Application to Communication and Queueing Systems written by Michael Neely and published by Springer Nature. This book was released on 2022-05-31 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a modern theory of analysis, control, and optimization for dynamic networks. Mathematical techniques of Lyapunov drift and Lyapunov optimization are developed and shown to enable constrained optimization of time averages in general stochastic systems. The focus is on communication and queueing systems, including wireless networks with time-varying channels, mobility, and randomly arriving traffic. A simple drift-plus-penalty framework is used to optimize time averages such as throughput, throughput-utility, power, and distortion. Explicit performance-delay tradeoffs are provided to illustrate the cost of approaching optimality. This theory is also applicable to problems in operations research and economics, where energy-efficient and profit-maximizing decisions must be made without knowing the future. Topics in the text include the following: - Queue stability theory - Backpressure, max-weight, and virtual queue methods - Primal-dual methods for non-convex stochastic utility maximization - Universal scheduling theory for arbitrary sample paths - Approximate and randomized scheduling theory - Optimization of renewal systems and Markov decision systems Detailed examples and numerous problem set questions are provided to reinforce the main concepts. Table of Contents: Introduction / Introduction to Queues / Dynamic Scheduling Example / Optimizing Time Averages / Optimizing Functions of Time Averages / Approximate Scheduling / Optimization of Renewal Systems / Conclusions
Download or read book Stochastic Control written by N.K. Sinha and published by Elsevier. This book was released on 2014-05-23 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic control, the control of random processes, has become increasingly more important to the systems analyst and engineer. The Second IFAC Symposium on Stochastic Control represents current thinking on all aspects of stochastic control, both theoretical and practical, and as such represents a further advance in the understanding of such systems.
Download or read book Modeling Stochastic Control Optimization and Applications written by George Yin and published by Springer. This book was released on 2019-07-16 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects papers, based on invited talks given at the IMA workshop in Modeling, Stochastic Control, Optimization, and Related Applications, held at the Institute for Mathematics and Its Applications, University of Minnesota, during May and June, 2018. There were four week-long workshops during the conference. They are (1) stochastic control, computation methods, and applications, (2) queueing theory and networked systems, (3) ecological and biological applications, and (4) finance and economics applications. For broader impacts, researchers from different fields covering both theoretically oriented and application intensive areas were invited to participate in the conference. It brought together researchers from multi-disciplinary communities in applied mathematics, applied probability, engineering, biology, ecology, and networked science, to review, and substantially update most recent progress. As an archive, this volume presents some of the highlights of the workshops, and collect papers covering a broad range of topics.
Download or read book Scheduling and Control of Queueing Networks written by Gideon Weiss and published by Cambridge University Press. This book was released on 2021-10-14 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate text on theory and methods using applied probability techniques for scheduling service, manufacturing, and information networks.
Download or read book Stochastic Differential Systems Stochastic Control Theory and Applications written by Wendell Fleming and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications STOCHASTIC DIFFERENTIAL SYSTEMS, STOCHASTIC CONTROL THEORY AND APPLICATIONS is the proceedings of a workshop which was an integral part of the 1986-87 IMA program on STOCHASTIC DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS. We are grateful to the Scientific Committee: Daniel Stroock (Chairman) WendeIl Flerning Theodore Harris Pierre-Louis Lions Steven Orey George Papanicolaou for planning and implementing an exciting and stimulating year-long program. We es pecially thank WendeIl Fleming and Pierre-Louis Lions for organizing an interesting and productive workshop in an area in which mathematics is beginning to make significant contributions to real-world problems. George R. Seil Hans Weinberger PREFACE This volume is the Proceedings of a Workshop on Stochastic Differential Systems, Stochastic Control Theory, and Applications held at IMA June 9-19,1986. The Workshop Program Commit tee consisted of W.H. Fleming and P.-L. Lions (co-chairmen), J. Baras, B. Hajek, J.M. Harrison, and H. Sussmann. The Workshop emphasized topics in the following four areas. (1) Mathematical theory of stochastic differential systems, stochastic control and nonlinear filtering for Markov diffusion processes. Connections with partial differential equations. (2) Applications of stochastic differential system theory, in engineering and management sci ence. Adaptive control of Markov processes. Advanced computational methods in stochas tic control and nonlinear filtering. (3) Stochastic scheduling, queueing networks, and related topics. Flow control, multiarm bandit problems, applications to problems of computer networks and scheduling of complex manufacturing operations.
Download or read book Fundamentals of Queuing Systems written by Nick T. Thomopoulos and published by Springer Science & Business Media. This book was released on 2012-03-27 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Waiting in lines is a staple of everyday human life. Without really noticing, we are doing it when we go to buy a ticket at a movie theater, stop at a bank to make an account withdrawal, or proceed to checkout a purchase from one of our favorite department stores. Oftentimes, waiting lines are due to overcrowded, overfilling, or congestion; any time there is more customer demand for a service than can be provided, a waiting line forms. Queuing systems is a term used to describe the methods and techniques most ideal for measuring the probability and statistics of a wide variety of waiting line models. This book provides an introduction to basic queuing systems, such as M/M/1 and its variants, as well as newer concepts like systems with priorities, networks of queues, and general service policies. Numerical examples are presented to guide readers into thinking about practical real-world applications, and students and researchers will be able to apply the methods learned to designing queuing systems that extend beyond the classroom. Very little has been published in the area of queuing systems, and this volume will appeal to graduate-level students, researchers, and practitioners in the areas of management science, applied mathematics, engineering, computer science, and statistics.
Download or read book Fuzzy Control of Queuing Systems written by Runtong Zhang and published by Springer Science & Business Media. This book was released on 2005-12-06 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every day we experience the annoyance of having to queue. The phenomenon is becoming more prevalent in our increasingly congested and urbanised society. Not only the visible queues in traffic jams, airport check in desks and supermarkets, but the more common invisible queues caused by voice calls and data packets in optical and wireless channels. Queues cost us time, money and resources; so what is the solution to our greater demand for services than there are facilities? Queuing control plays a crucial role in manufacturing and communication networks around the world. This pioneering approach, using fuzzy control to solve queuing control problems, determines explicit solutions to various types of control in queuing systems. The bulk of results have been developed over the past decade and are presented here together for the first time. 21 detailed case studies demonstrate an efficient departure from classical techniques. Unique work creating a new Research and Development topic. Multidisciplinary approach that will benefit researchers and students throughout the fields of artificial intelligence, operations research, optimal control, Internet techniques, communications and traffic control industries. Equipped with an extensive bibliography for easy reference and scope for further study. Existing practical problems, especially those that are unresponsive to conventional control techniques, are solved with the introduction of this novel approach. A systematic framework of the ‘fuzzy control of queuing networks’ is developed through each individual case.
Download or read book Scheduling and Control of Queueing Networks written by Gideon Weiss and published by Cambridge University Press. This book was released on 2021-10-14 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of queueing network models have multiplied in the last generation, including scheduling of large manufacturing systems, control of patient flow in health systems, load balancing in cloud computing, and matching in ride sharing. These problems are too large and complex for exact solution, but their scale allows approximation. This book is the first comprehensive treatment of fluid scaling, diffusion scaling, and many-server scaling in a single text presented at a level suitable for graduate students. Fluid scaling is used to verify stability, in particular treating max weight policies, and to study optimal control of transient queueing networks. Diffusion scaling is used to control systems in balanced heavy traffic, by solving for optimal scheduling, admission control, and routing in Brownian networks. Many-server scaling is studied in the quality and efficiency driven Halfin–Whitt regime and applied to load balancing in the supermarket model and to bipartite matching in ride-sharing applications.
Download or read book Modern Trends in Controlled Stochastic Processes written by Alexey B. Piunovskiy and published by Luniver Press. This book was released on 2010-09 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: World leading experts give their accounts of the modern mathematical models in the field: Markov Decision Processes, controlled diffusions, piece-wise deterministic processes etc, with a wide range of performance functionals. One of the aims is to give a general view on the state-of-the-art. The authors use Dynamic Programming, Convex Analytic Approach, several numerical methods, index-based approach and so on. Most chapters either contain well developed examples, or are entirely devoted to the application of the mathematical control theory to real life problems from such fields as Insurance, Portfolio Optimization and Information Transmission. The book will enable researchers, academics and research students to get a sense of novel results, concepts, models, methods, and applications of controlled stochastic processes.
Download or read book Controlled Queueing Systems written by Mikhail Yu. Kitaev and published by CRC Press. This book was released on 1995-08-30 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book completely devoted to controlled queueing systems. The book gathers the newest results of the theory of Markov decision processes related to queueing models and demonstrates their applications to main types of control in queueing systems, including control of arrivals, control of service mechanism, and control of service discipline. Emphasis is placed on conditions providing further "good" structural properties of Markov optimal strategies such as monotonicity, threshold or hysteretic character, and priority. Each chapter is followed by exercises, most of which allow the reader to complete technical fragments of proofs. The text assumes the reader is familiar with standard courses of analysis, probability theory, and queueing theory.
Download or read book To Queue or Not to Queue written by Refael Hassin and published by Springer Science & Business Media. This book was released on 2003 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: To Queue Or Not To Queue: Equilibrium Behavior in Queueing Systems focuses on the highly interesting, practical viewpoint of customer behavior and its effect on the performance of the queueing system. The book's objectives are threefold: (1) It is a comprehensive survey of the literature on equilibrium behavior of customers and servers in queueing systems. The literature is rich and considerable, but lacks continuity. This book will provide the needed continuity and cover some issues that have not been adequately treated. (2) In addition, it will examine the known results of the field, classify them and identify where and how they relate to each other. (3) And finally, it seeks to fill a number of the gaps in the literature with new results while explicitly outlining open problems in other areas. With this book, it is the authors' paramount purpose is to motivate further research and to help researchers identify new and interesting open problems.
Download or read book Stochastic Networks written by Frank Kelly and published by Cambridge University Press. This book was released on 2014-02-27 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compact, highly-motivated introduction to some of the stochastic models found useful in the study of communications networks.
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 Fuzzy Control of Queuing Systems written by Runtong Zhang and published by Springer Science & Business Media. This book was released on 2005 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every day we experience the annoyance of having to queue. The phenomenon is becoming more prevalent in our increasingly congested and urbanised society. Not only the visible queues in traffic jams, airport check in desks and supermarkets, but the more common invisible queues caused by voice calls and data packets in optical and wireless channels. Queues cost us time, money and resources; so what is the solution to our greater demand for services than there are facilities? Queuing control plays a crucial role in manufacturing and communication networks around the world. This pioneering approach, using fuzzy control to solve queuing control problems, determines explicit solutions to various types of control in queuing systems. The bulk of results have been developed over the past decade and are presented here together for the first time. 21 detailed case studies demonstrate an efficient departure from classical techniques. Unique work creating a new Research and Development topic. Multidisciplinary approach that will benefit researchers and students throughout the fields of artificial intelligence, operations research, optimal control, Internet techniques, communications and traffic control industries. Equipped with an extensive bibliography for easy reference and scope for further study. Existing practical problems, especially those that are unresponsive to conventional control techniques, are solved with the introduction of this novel approach. A systematic framework of the ‘fuzzy control of queuing networks’ is developed through each individual case.
Download or read book Numerical Methods for Stochastic Control Problems in Continuous Time written by Harold Kushner and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic control is a very active area of research. This monograph, written by two leading authorities in the field, has been updated to reflect the latest developments. It covers effective numerical methods for stochastic control problems in continuous time on two levels, that of practice and that of mathematical development. It is broadly accessible for graduate students and researchers.