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Discrete And Continuous Models In The Theory Of Networks
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Book Synopsis Discrete and Continuous Models in the Theory of Networks by : Fatihcan M. Atay
Download or read book Discrete and Continuous Models in the Theory of Networks written by Fatihcan M. Atay and published by Springer Nature. This book was released on 2020-09-03 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains contributions from the participants of the research group hosted by the ZiF - Center for Interdisciplinary Research at the University of Bielefeld during the period 2013-2017 as well as from the conclusive conference organized at Bielefeld in December 2017. The contributions consist of original research papers: they mirror the scientific developments fostered by this research program or the state-of-the-art results presented during the conclusive conference. The volume covers current research in the areas of operator theory and dynamical systems on networks and their applications, indicating possible future directions. The book will be interesting to researchers focusing on the mathematical theory of networks; it is unique as, for the first time, continuous network models - a subject that has been blooming in the last twenty years - are studied alongside more classical and discrete ones. Thus, instead of two different worlds often growing independently without much intercommunication, a new path is set, breaking with the tradition. The fruitful and beneficial exchange of ideas and results of both communities is reflected in this book.
Book Synopsis Network Optimization: Continuous and Discrete Models by : Dimitri Bertsekas
Download or read book Network Optimization: Continuous and Discrete Models written by Dimitri Bertsekas and published by Athena Scientific. This book was released on 1998-01-01 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: An insightful, comprehensive, and up-to-date treatment of linear, nonlinear, and discrete/combinatorial network optimization problems, their applications, and their analytical and algorithmic methodology. It covers extensively theory, algorithms, and applications, and it aims to bridge the gap between linear and nonlinear network optimization on one hand, and integer/combinatorial network optimization on the other. It complements several of our books: Convex Optimization Theory (Athena Scientific, 2009), Convex Optimization Algorithms (Athena Scientific, 2015), Introduction to Linear Optimization (Athena Scientific, 1997), Nonlinear Programming (Athena Scientific, 1999), as well as our other book on the subject of network optimization Network Flows and Monotropic Optimization (Athena Scientific, 1998).
Book Synopsis Nonlinear Hybrid Continuous/Discrete-Time Models by : Marat Akhmet
Download or read book Nonlinear Hybrid Continuous/Discrete-Time Models written by Marat Akhmet and published by Springer Science & Business Media. This book was released on 2011-05-03 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is mainly about hybrid systems with continuous/discrete-time dynamics. The major part of the book consists of the theory of equations with piece-wise constant argument of generalized type. The systems as well as technique of investigation were introduced by the author very recently. They both generalized known theory about differential equations with piece-wise constant argument, introduced by K. Cook and J. Wiener in the 1980s. Moreover, differential equations with fixed and variable moments of impulses are used to model real world problems. We consider models of neural networks, blood pressure distribution and a generalized model of the cardiac pacemaker. All the results of the manuscript have not been published in any book, yet. They are very recent and united with the presence of the continuous/discrete dynamics of time. It is of big interest for specialists in biology, medicine, engineering sciences, electronics. Theoretical aspects of the book meet very strong expectations of mathematicians who investigate differential equations with discontinuities of any type.
Book Synopsis Identification, Analysis and Control of Discrete and Continuous Models of Gene Regulation Networks by : Christian Breindl
Download or read book Identification, Analysis and Control of Discrete and Continuous Models of Gene Regulation Networks written by Christian Breindl and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systems biological approach towards cellular networks promises a better understanding of how these systems work. The development of mathematical models is however inherently complicated, as the involved molecules and their interactions are mostly difficult to measure. Focusing on gene regulation networks, this work therefore intends to provide systems theoretic tools that support the process of model development and analysis in presence of such incomplete knowledge. The contributions are threefold. First, the problem of identifying interconnections between genes from noisy data is addressed. Existing solutions formulated in a discrete framework are reviewed and simplified significantly with the help of tools from convex optimization theory. Second, a novel method for model verification and discrimination is introduced. It is based on concepts from robust control theory and allows to quantify the capability of a model to reproduce experimentally observed stationary behaviors. As the proposed formalism only requires a vague knowledge about the interactions between the molecules, the method is intended to test and compare early modeling hypotheses. Third, the problem of controlling gene regulation networks in presence of qualitative information only is studied. Methods from discrete event systems theory are adapted to obtain stimulation strategies that will steer the network toward a desired attractor. The benefits of all contributions are illustrated with examples in the individual chapters.
Book Synopsis Network Modeling, Simulation, and Analysis by : Garzia
Download or read book Network Modeling, Simulation, and Analysis written by Garzia and published by CRC Press. This book was released on 1990-03-12 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This timely, authoritative reference covers a breadth of topics in the fields of circuit-switched communications and data networks. It focuses on methodologies for developing network models and techniques for analyzing numerous types and aspects of networks. Bringing together in one complete source a vast amount of information on recent technological advances, Network Modeling, Simulation, and Analysis examines applications of compartmental models to engineering ... network models for the performance analysis of local area computer networks ... closed-form solutions for the evaluation of network performance measures ... adaptive routing and design algorithms for reliable distributed networks ... mixed voice/data networks ... and more. Illustrating concepts with examples from actual case studies, more than 650 display equations, and numerous figures and tables, this exemplary resource is invaluable reading for electrical and electronics, communications, performance, control, industrial, systems, and manufacturing engineers; computer scientists/engineers; operations research scientists; applied mathematicians; and advanced undergraduate and graduate students in these disciplines. Book jacket.
Book Synopsis Linear Network Optimization by : Dimitri P. Bertsekas
Download or read book Linear Network Optimization written by Dimitri P. Bertsekas and published by MIT Press. This book was released on 1991 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Network Optimization presents a thorough treatment of classical approaches to network problems such as shortest path, max-flow, assignment, transportation, and minimum cost flow problems.
Book Synopsis Communication and Computer Networks by : Michael E. Woodward
Download or read book Communication and Computer Networks written by Michael E. Woodward and published by . This book was released on 1993 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unified approach to developing accurate discrete-time models of communication and computer networks, using discrete-time queuing theory and approximation techniques to obtain solutions. The first chapter outlines the basic aims and philosophy of the book and introduces discrete-time queues at the simplest possible level. The chapters that follow cover probability theory and discrete-time Markov chains, delve into discrete-time queues and queuing networks, and focus on applications for satellite and local area networks. In addition, the book gives examples of specific modeling techniques, and covers handling statistically different users, finite channel delays, timing delays, and unsolvable traffic equations.
Book Synopsis Continuous Model Theory by : Chen Chung Chang
Download or read book Continuous Model Theory written by Chen Chung Chang and published by Princeton University Press. This book was released on 1966-06-21 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a study of the theory of models with truth values in a compact Hausdorff topological space.
Book Synopsis Network and Discrete Location by : Mark S. Daskin
Download or read book Network and Discrete Location written by Mark S. Daskin and published by John Wiley & Sons. This book was released on 2011-02-14 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: The comprehensive introduction to the art and science of locating facilities to make your organization more efficient, effective, and profitable. For the professional siting facilities, the task of translating organizational goals and objectives into concrete facilities requires a working familiarity with the theoretical and practical fundamentals of facility location planning and modeling. The first hands-on guide to using and developing facility location models, Network and Discrete Location offers a practiceoriented introduction to model-building methods and solution algorithms, complete with software to solve classical problems of realistic size and end-of-chapter exercises to enhance the reader's understanding. The text introduces the reader to the key classical location problems (covering, center, median, and fixed charge) which form the nucleus of facility location modeling. It also discusses real-life extensions of the basic models used in locating: production and distribution facilities, interacting services and facilities, and undesirable facilities. The book outlines a host of methodological tools for solving location models and provides insights into when each approach is useful and what information it provides. Designed to give readers a working familiarity with the basic facility location model types as well as an intuitive knowledge of the uses and limits of modeling techniques, Network and Discrete Location brings students and professionals alike swiftly from basic theory to technical fluency.
Book Synopsis Optimal Transportation Networks by : Marc Bernot
Download or read book Optimal Transportation Networks written by Marc Bernot and published by Springer. This book was released on 2008-10-23 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides mathematical proof of several existence, structure and regularity properties, empirically observed in transportation networks.
Book Synopsis Network Optimization by : Panos M. Pardalos
Download or read book Network Optimization written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: Network optimization is important in the modeling of problems and processes from such fields as engineering, computer science, operations research, transportation, telecommunication, decision support systems, manufacturing, and airline scheduling. Recent advances in data structures, computer technology, and algorithm development have made it possible to solve classes of network optimization problems that until recently were intractable. The refereed papers in this volume reflect the interdisciplinary efforts of a large group of scientists from academia and industry to model and solve complicated large-scale network optimization problems.
Book Synopsis Network and Discrete Location by : Mark S. Daskin
Download or read book Network and Discrete Location written by Mark S. Daskin and published by John Wiley & Sons. This book was released on 2013-08-19 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition This book is refreshing to read since it takes an important topic... and presents it in a clear and concise manner by using examples that include visual presentations of the problem, solution methods, and results along with an explanation of the mathematical and procedural steps required to model the problem and work through to a solution.” —Journal of Classification Thoroughly updated and revised, Network and Discrete Location: Models, Algorithms, and Applications, Second Edition remains the go-to guide on facility location modeling. The book offers a unique introduction to methodological tools for solving location models and provides insight into when each approach is useful and what information can be obtained. The Second Edition focuses on real-world extensions of the basic models used in locating facilities, including production and distribution systems, location-inventory models, and defender-interdictor problems. A unique taxonomy of location problems and models is also presented. Featuring examples using the author’s own software—SITATION, MOD-DIST, and MENU-OKF—as well as Microsoft Office® Excel®, the book provides: • A theoretical and applied perspective on location models and algorithms • An intuitive presentation of the uses and limits of modeling techniques • An introduction to integrated location-inventory modeling and defender-interdictor models for the design of reliable facility location systems • A full range of exercises to equip readers with an understanding of the basic facility location model types Network and Discrete Location: Models, Algorithms, and Applications, Second Edition is an essential resource for practitioners in applied and discrete mathematics, operations research, industrial engineering, and quantitative geography. The book is also a useful textbook for upper-level undergraduate, graduate, and MBA courses.
Book Synopsis Mathematical Theory of Neural Networks by :
Download or read book Mathematical Theory of Neural Networks written by and published by . This book was released on 2000 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work pursued under this grant dealt with artificial neural networks and other discrete/continuous models. New bounds were obtained for sample complexity for identification of static and dynamic concept classes defined by static and recurrent networks. Structural and system-theoretic properties were characterized, leading to effective tests for identifiability and other properties. Related models of hybrid systems were also studied; an equivalence problem for PL systems was shown to be decidable in polynomial time, and a general Maximum Principle was established for hybrid systems.
Book Synopsis Self-Organization in Continuous Adaptive Networks by : Anne-Ly Do
Download or read book Self-Organization in Continuous Adaptive Networks written by Anne-Ly Do and published by River Publishers. This book was released on 2012-10-31 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents new analytical approaches, which combine tools from dynamical systems theory and statistical physics with tools from graph theory to address the principles behind adaptive self-organization. It is the first class of approaches that is applicable to continuous networks.
Book Synopsis Synchronization in Complex Networks of Nonlinear Dynamical Systems by : Chai Wah Wu
Download or read book Synchronization in Complex Networks of Nonlinear Dynamical Systems written by Chai Wah Wu and published by World Scientific. This book was released on 2007 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together two emerging research areas: synchronization in coupled nonlinear systems and complex networks, and study conditions under which a complex network of dynamical systems synchronizes. While there are many texts that study synchronization in chaotic systems or properties of complex networks, there are few texts that consider the intersection of these two very active and interdisciplinary research areas. The main theme of this book is that synchronization conditions can be related to graph theoretical properties of the underlying coupling topology. The book introduces ideas from systems theory, linear algebra and graph theory and the synergy between them that are necessary to derive synchronization conditions. Many of the results, which have been obtained fairly recently and have until now not appeared in textbook form, are presented with complete proofs. This text is suitable for graduate-level study or for researchers who would like to be better acquainted with the latest research in this area. Sample Chapter(s). Chapter 1: Introduction (76 KB). Contents: Graphs, Networks, Laplacian Matrices and Algebraic Connectivity; Graph Models; Synchronization in Networks of Nonlinear Continuous-Time Dynamical Systems; Synchronization in Networks of Coupled Discrete-Time Systems; Synchronization in Network of Systems with Linear Dynamics; Agreement and Consensus Problems in Groups of Interacting Agents. Readership: Graduate students and researchers in physics, applied mathematics and engineering.
Book Synopsis Neural Networks and Neural Fields by : Roderick Edwards
Download or read book Neural Networks and Neural Fields written by Roderick Edwards and published by . This book was released on 1994 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Probabilistic Graphical Models by : Peter Lucas
Download or read book Advances in Probabilistic Graphical Models written by Peter Lucas and published by Springer. This book was released on 2007-06-12 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together important topics of current research in probabilistic graphical modeling, learning from data and probabilistic inference. Coverage includes such topics as the characterization of conditional independence, the learning of graphical models with latent variables, and extensions to the influence diagram formalism as well as important application fields, such as the control of vehicles, bioinformatics and medicine.
