Discrete And Continuous Models In The Theory Of Networks

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Discrete and Continuous Models in the Theory of Networks

Fatihcan M. Atay,Pavel B. Kurasov,Delio Mugnolo
Discrete and Continuous Models in the Theory of Networks Book PDF

Author : Fatihcan M. Atay,Pavel B. Kurasov,Delio Mugnolo
Publisher : Springer Nature
Page : 370 pages
File Size : 46,7 Mb
Release : 2020-09-03
Category : Mathematics
ISBN : 9783030440978

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Discrete and Continuous Models in the Theory of Networks by Fatihcan M. Atay,Pavel B. Kurasov,Delio Mugnolo Pdf

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.

Network Optimization: Continuous and Discrete Models

Dimitri Bertsekas
Network Optimization Continuous and Discrete Models Book PDF

Author : Dimitri Bertsekas
Publisher : Athena Scientific
Page : 607 pages
File Size : 41,8 Mb
Release : 1998-01-01
Category : Business & Economics
ISBN : 9781886529021

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Network Optimization: Continuous and Discrete Models by Dimitri Bertsekas Pdf

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).

Identification, Analysis and Control of Discrete and Continuous Models of Gene Regulation Networks

Christian Breindl
Identification Analysis and Control of Discrete and Continuous Models of Gene Regulation Networks Book PDF

Author : Christian Breindl
Publisher : Unknown
Page : 0 pages
File Size : 49,6 Mb
Release : 2016
Category : Gene regulatory networks
ISBN : 3832542833

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Identification, Analysis and Control of Discrete and Continuous Models of Gene Regulation Networks by Christian Breindl Pdf

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.

The Handbook of Brain Theory and Neural Networks

Michael A. Arbib
The Handbook of Brain Theory and Neural Networks Book PDF

Author : Michael A. Arbib
Publisher : MIT Press
Page : 1328 pages
File Size : 55,9 Mb
Release : 2003
Category : Neural circuitry
ISBN : 9780262011976

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The Handbook of Brain Theory and Neural Networks by Michael A. Arbib Pdf

This second edition presents the enormous progress made in recent years in the many subfields related to the two great questions : how does the brain work? and, How can we build intelligent machines? This second edition greatly increases the coverage of models of fundamental neurobiology, cognitive neuroscience, and neural network approaches to language. (Midwest).

Linear Network Optimization

Dimitri P. Bertsekas
Linear Network Optimization Book PDF

Author : Dimitri P. Bertsekas
Publisher : MIT Press
Page : 384 pages
File Size : 41,6 Mb
Release : 1991
Category : Business & Economics
ISBN : 0262023342

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Linear Network Optimization by Dimitri P. Bertsekas Pdf

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.

Nonlinear Hybrid Continuous/Discrete-Time Models

Marat Akhmet
Nonlinear Hybrid Continuous Discrete Time Models Book PDF

Author : Marat Akhmet
Publisher : Springer Science & Business Media
Page : 225 pages
File Size : 45,6 Mb
Release : 2011-05-03
Category : Mathematics
ISBN : 9789491216039

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Nonlinear Hybrid Continuous/Discrete-Time Models by Marat Akhmet Pdf

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.

Modeling and Simulation of Computer Networks and Systems

Mohammad S. Obaidat,Faouzi Zarai,Petros Nicopolitidis
Modeling and Simulation of Computer Networks and Systems Book PDF

Author : Mohammad S. Obaidat,Faouzi Zarai,Petros Nicopolitidis
Publisher : Morgan Kaufmann
Page : 964 pages
File Size : 41,5 Mb
Release : 2015-04-21
Category : Computers
ISBN : 9780128011584

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Modeling and Simulation of Computer Networks and Systems by Mohammad S. Obaidat,Faouzi Zarai,Petros Nicopolitidis Pdf

Modeling and Simulation of Computer Networks and Systems: Methodologies and Applications introduces you to a broad array of modeling and simulation issues related to computer networks and systems. It focuses on the theories, tools, applications and uses of modeling and simulation in order to effectively optimize networks. It describes methodologies for modeling and simulation of new generations of wireless and mobiles networks and cloud and grid computing systems. Drawing upon years of practical experience and using numerous examples and illustrative applications recognized experts in both academia and industry, discuss: Important and emerging topics in computer networks and systems including but not limited to; modeling, simulation, analysis and security of wireless and mobiles networks especially as they relate to next generation wireless networks Methodologies, strategies and tools, and strategies needed to build computer networks and systems modeling and simulation from the bottom up Different network performance metrics including, mobility, congestion, quality of service, security and more... Modeling and Simulation of Computer Networks and Systems is a must have resource for network architects, engineers and researchers who want to gain insight into optimizing network performance through the use of modeling and simulation. Discusses important and emerging topics in computer networks and Systems including but not limited to; modeling, simulation, analysis and security of wireless and mobiles networks especially as they relate to next generation wireless networks Provides the necessary methodologies, strategies and tools needed to build computer networks and systems modeling and simulation from the bottom up Includes comprehensive review and evaluation of simulation tools and methodologies and different network performance metrics including mobility, congestion, quality of service, security and more

Discrete Mathematics of Neural Networks

Martin Anthony
Discrete Mathematics of Neural Networks Book PDF

Author : Martin Anthony
Publisher : SIAM
Page : 137 pages
File Size : 48,9 Mb
Release : 2001-01-01
Category : Computers
ISBN : 9780898714807

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Discrete Mathematics of Neural Networks by Martin Anthony Pdf

This concise, readable book provides a sampling of the very large, active, and expanding field of artificial neural network theory. It considers select areas of discrete mathematics linking combinatorics and the theory of the simplest types of artificial neural networks. Neural networks have emerged as a key technology in many fields of application, and an understanding of the theories concerning what such systems can and cannot do is essential. Some classical results are presented with accessible proofs, together with some more recent perspectives, such as those obtained by considering decision lists. In addition, probabilistic models of neural network learning are discussed. Graph theory, some partially ordered set theory, computational complexity, and discrete probability are among the mathematical topics involved. Pointers to further reading and an extensive bibliography make this book a good starting point for research in discrete mathematics and neural networks.

Network Optimization

Panos M. Pardalos,Donald W. Hearn,William W. Hager
Network Optimization Book PDF

Author : Panos M. Pardalos,Donald W. Hearn,William W. Hager
Publisher : Springer Science & Business Media
Page : 495 pages
File Size : 50,6 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642591792

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Network Optimization by Panos M. Pardalos,Donald W. Hearn,William W. Hager Pdf

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.

Discrete-Event Modeling and Simulation

Gabriel A. Wainer,Pieter J. Mosterman
Discrete Event Modeling and Simulation Book PDF

Author : Gabriel A. Wainer,Pieter J. Mosterman
Publisher : CRC Press
Page : 520 pages
File Size : 47,9 Mb
Release : 2018-09-03
Category : Technology & Engineering
ISBN : 9781420072341

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Discrete-Event Modeling and Simulation by Gabriel A. Wainer,Pieter J. Mosterman Pdf

Collecting the work of the foremost scientists in the field, Discrete-Event Modeling and Simulation: Theory and Applications presents the state of the art in modeling discrete-event systems using the discrete-event system specification (DEVS) approach. It introduces the latest advances, recent extensions of formal techniques, and real-world examples of various applications. The book covers many topics that pertain to several layers of the modeling and simulation architecture. It discusses DEVS model development support and the interaction of DEVS with other methodologies. It describes different forms of simulation supported by DEVS, the use of real-time DEVS simulation, the relationship between DEVS and graph transformation, the influence of DEVS variants on simulation performance, and interoperability and composability with emphasis on DEVS standardization. The text also examines extensions to DEVS, new formalisms, and abstractions of DEVS models as well as the theory and analysis behind real-world system identification and control. To support the generation and search of optimal models of a system, a framework is developed based on the system entity structure and its transformation to DEVS simulation models. In addition, the book explores numerous interesting examples that illustrate the use of DEVS to build successful applications, including optical network-on-chip, construction/building design, process control, workflow systems, and environmental models. A one-stop resource on advances in DEVS theory, applications, and methodology, this volume offers a sampling of the best research in the area, a broad picture of the DEVS landscape, and trend-setting applications enabled by the DEVS approach. It provides the basis for future research discoveries and encourages the development of new applications.

Compartmental Modeling with Networks

Gilbert G Walter,Martha Contreras
Compartmental Modeling with Networks Book PDF

Author : Gilbert G Walter,Martha Contreras
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 40,6 Mb
Release : 1999-09-20
Category : Mathematics
ISBN : 0817640193

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Compartmental Modeling with Networks by Gilbert G Walter,Martha Contreras Pdf

This new advanced text/reference book presents compartmental models or flow models from an applications perspective. Flow models are used when there is a flow of information or materials, such as fluid of money or energy between the components of a system. They are widely used in biomedicine but have also useful applications in studying ecosystems, input-output analysis, competition, models, and epidemology. In order to provide a complete and balanced presentation, the book is organized in four parts. Part 1 is devoted to the theory of digraphs; Part 2 addresses Markov chains; Part 3 discusses differential equations; and Part 4 presents the theory of compartmental models, addressing the relations between dynamics of the solution and structure of the model. Key applications discussed include ecosystem models, fluid transfer, competition models, tracer kinetic experiments, and network flows. Essential topics and methods are presented in an accessible style with many examples: directed graphs, differential equations, Markov chains, and compartmental model construction. The material provides a thorough and comprehensive presentation of compartmental models, model construction and applications. All advanced students, practitioners and professionals in bioscience and applied mathematical modeling will find the book a useful and excellent reference.

Network Modeling, Simulation and Analysis in MATLAB

Dac-Nhuong Le,Abhishek Kumar Pandey,Sairam Tadepalli,Pramod Singh Rathore,Jyotir Moy Chatterjee
Network Modeling Simulation and Analysis in MATLAB Book PDF

Author : Dac-Nhuong Le,Abhishek Kumar Pandey,Sairam Tadepalli,Pramod Singh Rathore,Jyotir Moy Chatterjee
Publisher : John Wiley & Sons
Page : 350 pages
File Size : 47,8 Mb
Release : 2019-08-06
Category : Computers
ISBN : 9781119631453

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Network Modeling, Simulation and Analysis in MATLAB by Dac-Nhuong Le,Abhishek Kumar Pandey,Sairam Tadepalli,Pramod Singh Rathore,Jyotir Moy Chatterjee Pdf

The purpose of this book is first to study MATLAB programming concepts, then the basic concepts of modeling and simulation analysis, particularly focus on digital communication simulation. The book will cover the topics practically to describe network routing simulation using MATLAB tool. It will cover the dimensions’ like Wireless network and WSN simulation using MATLAB, then depict the modeling and simulation of vehicles power network in detail along with considering different case studies. Key features of the book include: Discusses different basics and advanced methodology with their fundamental concepts of exploration and exploitation in NETWORK SIMULATION. Elaborates practice questions and simulations in MATLAB Student-friendly and Concise Useful for UG and PG level research scholar Aimed at Practical approach for network simulation with more programs with step by step comments. Based on the Latest technologies, coverage of wireless simulation and WSN concepts and implementations

Advances in Probabilistic Graphical Models

Peter Lucas,José A. Gámez,Antonio Salmerón Cerdan
Advances in Probabilistic Graphical Models Book PDF

Author : Peter Lucas,José A. Gámez,Antonio Salmerón Cerdan
Publisher : Springer
Page : 386 pages
File Size : 40,5 Mb
Release : 2007-06-12
Category : Mathematics
ISBN : 9783540689966

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Advances in Probabilistic Graphical Models by Peter Lucas,José A. Gámez,Antonio Salmerón Cerdan Pdf

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.

Network and Discrete Location

Mark S. Daskin
Network and Discrete Location Book PDF

Author : Mark S. Daskin
Publisher : John Wiley & Sons
Page : 519 pages
File Size : 48,6 Mb
Release : 2011-02-14
Category : Mathematics
ISBN : 9781118030738

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Network and Discrete Location by Mark S. Daskin Pdf

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.

Plane Networks and their Applications

Kai Borre
Plane Networks and their Applications Book PDF

Author : Kai Borre
Publisher : Springer Science & Business Media
Page : 178 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461201656

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Plane Networks and their Applications by Kai Borre Pdf

This concise, fast-paced text introduces the concepts and applications behind plane networks. It presents fundamental material from linear algebra and differential equations, and offers several different applications of the continuous theory. Practical problems, supported by MATLAB files, underscore the theory; additional material can be downloaded from the author's website.