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Discrete-Event Control of Stochastic Networks: Multimodularity and Regularity

Discrete-Event Control of Stochastic Networks: Multimodularity and Regularity
Author: Eitan Altman
Publisher: Springer
Total Pages: 316
Release: 2003-12-15
Genre: Mathematics
ISBN: 3540397051

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Opening new directions in research in both discrete event dynamic systems as well as in stochastic control, this volume focuses on a wide class of control and of optimization problems over sequences of integer numbers. This is a counterpart of convex optimization in the setting of discrete optimization. The theory developed is applied to the control of stochastic discrete-event dynamic systems. Some applications are admission, routing, service allocation and vacation control in queuing networks. Pure and applied mathematicians will enjoy reading the book since it brings together many disciplines in mathematics: combinatorics, stochastic processes, stochastic control and optimization, discrete event dynamic systems, algebra.


Control Techniques for Complex Networks

Control Techniques for Complex Networks
Author: Sean Meyn
Publisher: Cambridge University Press
Total Pages: 33
Release: 2008
Genre: Mathematics
ISBN: 0521884411

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From foundations to state-of-the-art; the tools and philosophy you need to build network models.


Stochastic Models in Reliability, Network Security and System Safety

Stochastic Models in Reliability, Network Security and System Safety
Author: Quan-Lin Li
Publisher: Springer Nature
Total Pages: 497
Release: 2019-10-21
Genre: Computers
ISBN: 981150864X

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This book is dedicated to Jinhua Cao on the occasion of his 80th birthday. Jinhua Cao is one of the most famous reliability theorists. His main contributions include: published over 100 influential scientific papers; published an interesting reliability book in Chinese in 1986, which has greatly influenced the reliability of education, academic research and engineering applications in China; initiated and organized Reliability Professional Society of China (the first part of Operations Research Society of China) since 1981. The high admiration that Professor Cao enjoys in the reliability community all over the world was witnessed by the enthusiastic response of each contributor in this book. The contributors are leading researchers with diverse research perspectives. The research areas of the book iclude a broad range of topics related to reliability models, queueing theory, manufacturing systems, supply chain finance, risk management, Markov decision processes, blockchain and so forth. The book consists of a brief Preface describing the main achievements of Professor Cao; followed by congratulations from Professors Way Kuo and Wei Wayne Li, and by Operations Research Society of China, and Reliability Professional Society of China; and further followed by 25 articles roughly grouped together. Most of the articles are written in a style understandable to a wide audience. This book is useful to anyone interested in recent developments in reliability, network security, system safety, and their stochastic modeling and analysis.


Advanced Video Communications over Wireless Networks

Advanced Video Communications over Wireless Networks
Author: Ce Zhu
Publisher: CRC Press
Total Pages: 512
Release: 2017-12-19
Genre: Computers
ISBN: 143988000X

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Wireless video communications encompass a broad range of issues and opportunities that serve as the catalyst for technical innovations. To disseminate the most recent advances in this challenging yet exciting field, Advanced Video Communications over Wireless Networks provides an in-depth look at the fundamentals, recent technical achievements, challenges, and emerging trends in mobile and wireless video communications. The editors have carefully selected a panel of researchers with expertise in diverse aspects of wireless video communication to cover a wide spectrum of topics, including the underlying theoretical fundamentals associated with wireless video communications, the transmission schemes tailored to mobile and wireless networks, quality metrics, the architectures of practical systems, as well as some novel directions. They address future directions, including Quality-of-Experience in wireless video communications, video communications over future networks, and 3D video communications. The book presents a collection of tutorials, surveys, and original contributions, providing an up-to-date, accessible reference for further development of research and applications in mobile and wireless video communication systems. The range of coverage and depth of expertise make this book the go-to resource for facing current and future challenges in this field.


Geometric Theory of Discrete Nonautonomous Dynamical Systems

Geometric Theory of Discrete Nonautonomous Dynamical Systems
Author: Christian Pötzsche
Publisher: Springer Science & Business Media
Total Pages: 422
Release: 2010-09-17
Genre: Mathematics
ISBN: 3642142575

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The goal of this book is to provide an approach to the corresponding geometric theory of nonautonomous discrete dynamical systems in infinite-dimensional spaces by virtue of 2-parameter semigroups (processes).


Elements of Queueing Theory

Elements of Queueing Theory
Author: Francois Baccelli
Publisher: Springer Science & Business Media
Total Pages: 346
Release: 2013-11-11
Genre: Mathematics
ISBN: 366211657X

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This fundamental exposition of queueing theory, written by leading researchers, answers the need for a mathematically sound reference work on the subject and has become the standard reference. The thoroughly revised second edition contains a substantial number of exercises and their solutions, which makes the book suitable as a textbook.


Monotonicity in Markov Reward and Decision Chains

Monotonicity in Markov Reward and Decision Chains
Author: Ger Koole
Publisher: Now Publishers Inc
Total Pages: 94
Release: 2007
Genre: Dynamic programming
ISBN: 1601980280

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Monotonicity in Markov Reward and Decision Chains: Theory and Applications focuses on monotonicity results for dynamic systems that take values in the natural numbers or in more-dimensional lattices. The results are mostly formulated in terms of controlled queueing systems, but there are also applications to maintenance systems, revenue management, and so forth. The focus is on results that are obtained by inductively proving properties of the dynamic programming value function. A framework is provided for using this method that unifies results obtained for different models. The author also provides a comprehensive overview of the results that can be obtained through it, in which he discusses not only (partial) characterizations of optimal policies but also applications of monotonicity to optimization problems and the comparison of systems. Monotonicity in Markov Reward and Decision Chains: Theory and Applications is an invaluable resource for anyone planning or conducting research in this particular area. The essentials of the topic are presented in an accessible manner and an extensive bibliography guides towards further reading.


Partially Observed Markov Decision Processes

Partially Observed Markov Decision Processes
Author: Vikram Krishnamurthy
Publisher: Cambridge University Press
Total Pages: 491
Release: 2016-03-21
Genre: Mathematics
ISBN: 1107134609

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This book covers formulation, algorithms, and structural results of partially observed Markov decision processes, whilst linking theory to real-world applications in controlled sensing. Computations are kept to a minimum, enabling students and researchers in engineering, operations research, and economics to understand the methods and determine the structure of their optimal solution.


Optimal Transportation Networks

Optimal Transportation Networks
Author: Marc Bernot
Publisher: Springer Science & Business Media
Total Pages: 204
Release: 2009
Genre: Business & Economics
ISBN: 3540693149

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The transportation problem can be formalized as the problem of finding the optimal way to transport a given measure into another with the same mass. In contrast to the Monge-Kantorovitch problem, recent approaches model the branched structure of such supply networks as minima of an energy functional whose essential feature is to favour wide roads. Such a branched structure is observable in ground transportation networks, in draining and irrigation systems, in electrical power supply systems and in natural counterparts such as blood vessels or the branches of trees. These lectures provide mathematical proof of several existence, structure and regularity properties empirically observed in transportation networks. The link with previous discrete physical models of irrigation and erosion models in geomorphology and with discrete telecommunication and transportation models is discussed. It will be mathematically proven that the majority fit in the simple model sketched in this volume.