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Auteur Terry L. Friesz |
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Dynamic Optimization and Differential Games / Terry L. Friesz / Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer (2010)
Titre : Dynamic Optimization and Differential Games Type de document : document électronique Auteurs : Terry L. Friesz ; SpringerLink (Online service) Editeur : Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer Année de publication : 2010 Collection : International Series in Operations Research & Management Science, ISSN 0884-8289 num. 135 Importance : XIV, 502 p Présentation : online resource ISBN/ISSN/EAN : 978-0-387-72778-3 Langues : Anglais (eng) Descripteurs : Décision (Théorie) , Recherche opérationnelle , Sciences comportementales , Sciences sociales Tags : Economics Mathematics Mathematical optimization Business logistics Management Science Optimization Game Theory Sciences Mathematical Modeling and Industrial Mathematics Production Logistics Résumé : Dynamic Optimization and Differential Games has been written to address the increasing number of Operations Research and Management Science problems that involve the explicit consideration of time and of gaming among multiple agents. With end-of-chapter exercises throughout, it is a book that can be used both as a reference and as a textbook. It will be useful as a guide to engineers, operations researchers, applied mathematicians and social scientists whose work involves both the theoretical and computational aspects of dynamic optimization and differential games. Included throughout the text are detailed explanations of several original dynamic and game-theoretic mathematical models which are of particular relevance in today?s technologically-driven-global economy: revenue management, oligopoly pricing, production planning, supply chain management, dynamic traffic assignment and dynamic congestion pricing. The book emphasizes deterministic theory, computational tools and applications associated with the study of dynamic optimization and competition in continuous time. It develops the key results of deterministic, continuous time, optimal control theory from both the classical calculus of variations perspective and the more modern approach of infinite dimensional mathematical programming. These results are then generalized for the analysis of differential variational inequalities arising in dynamic game theory for open loop environments. Algorithms covered include steepest descent in Hilbert space, gradient projection in Hilbert space, fixed point methods, and gap function methods Note de contenu : Nonlinear Programming and Discrete-Time Optimal Control -- Foundations of the Calculus of Variations and Optimal Control -- Infinite Dimensional Mathematical Programming -- Finite Dimensional Variational Inequalities and Nash Equilibria -- Differential Variational Inequalities and Differential Nash Games -- Optimal Economic Growth -- Production Planning, Oligopoly and Supply Chains -- Dynamic User Equilibrium -- Dynamic Pricing and Revenue Management Permalink : https://genes.bibli.fr/index.php?lvl=notice_display&id=110936 Dynamic Optimization and Differential Games [document électronique] / Terry L. Friesz ; SpringerLink (Online service) . - Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer, 2010 . - XIV, 502 p : online resource. - (International Series in Operations Research & Management Science, ISSN 0884-8289; 135) .
ISBN : 978-0-387-72778-3
Langues : Anglais (eng)
Descripteurs : Décision (Théorie) , Recherche opérationnelle , Sciences comportementales , Sciences sociales Tags : Economics Mathematics Mathematical optimization Business logistics Management Science Optimization Game Theory Sciences Mathematical Modeling and Industrial Mathematics Production Logistics Résumé : Dynamic Optimization and Differential Games has been written to address the increasing number of Operations Research and Management Science problems that involve the explicit consideration of time and of gaming among multiple agents. With end-of-chapter exercises throughout, it is a book that can be used both as a reference and as a textbook. It will be useful as a guide to engineers, operations researchers, applied mathematicians and social scientists whose work involves both the theoretical and computational aspects of dynamic optimization and differential games. Included throughout the text are detailed explanations of several original dynamic and game-theoretic mathematical models which are of particular relevance in today?s technologically-driven-global economy: revenue management, oligopoly pricing, production planning, supply chain management, dynamic traffic assignment and dynamic congestion pricing. The book emphasizes deterministic theory, computational tools and applications associated with the study of dynamic optimization and competition in continuous time. It develops the key results of deterministic, continuous time, optimal control theory from both the classical calculus of variations perspective and the more modern approach of infinite dimensional mathematical programming. These results are then generalized for the analysis of differential variational inequalities arising in dynamic game theory for open loop environments. Algorithms covered include steepest descent in Hilbert space, gradient projection in Hilbert space, fixed point methods, and gap function methods Note de contenu : Nonlinear Programming and Discrete-Time Optimal Control -- Foundations of the Calculus of Variations and Optimal Control -- Infinite Dimensional Mathematical Programming -- Finite Dimensional Variational Inequalities and Nash Equilibria -- Differential Variational Inequalities and Differential Nash Games -- Optimal Economic Growth -- Production Planning, Oligopoly and Supply Chains -- Dynamic User Equilibrium -- Dynamic Pricing and Revenue Management Permalink : https://genes.bibli.fr/index.php?lvl=notice_display&id=110936 Foundations of Network Optimization and Games / Terry L. Friesz / Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer (2016)
Titre : Foundations of Network Optimization and Games Type de document : document électronique Auteurs : Terry L. Friesz, ; David Bernstein, ; SpringerLink (Online service) Editeur : Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer Année de publication : 2016 Collection : Complex Networks and Dynamic Systems, ISSN 2195-724X num. 3 Importance : XIII, 504 p. 63 illus., 6 illus. in color Présentation : online resource ISBN/ISSN/EAN : 978-1-4899-7594-2 Langues : Anglais (eng) Tags : Operations research Decision making Management science Operations Research Decision Theory Management Science Résumé : This is a book about infrastructure networks that are intrinsically nonlinear. The networks considered range from vehicular networks to electric power networks to data networks. The main point of view taken is that of mathematical programming in concert with finite-dimensional variational inequality theory. The principle modeling perspectives are network optimization, the theory of Nash games, and mathematical programming with equilibrium constraints. Computational methods and novel mathematical formulations are emphasized. Among the numerical methods explored are network simplex, gradient projection, fixed-point, gap function, Lagrangian relaxation, Dantzig-Wolfe decomposition, simplicial decomposition, and computational intelligence algorithms. Many solved example problems are included that range from simple to quite challenging. Theoretical analyses of several models and algorithms, to uncover existence, uniqueness and convergence properties, are undertaken. The book is meant for use in advanced undergraduate as well as doctoral courses taught in civil engineering, industrial engineering, systems engineering, and operations research degree programs. At the same time, the book should be a useful resource for industrial and university researchers engaged in the mathematical modeling and numerical analyses of infrastructure networks Note de contenu : Introduction -- Elements of Nonlinear Programming -- Elements of Graph Theory -- Programs with Network Structure -- Near-Network and Large-Scale Programs -- Normative Network Models and Their Solution -- Nash Games -- Network Traffic Assignment -- Spatial Price Equilibrium on Networks -- Network Stackelberg Games and Mathematical Programs with Equilibrium Constraints Permalink : https://genes.bibli.fr/index.php?lvl=notice_display&id=154901 Foundations of Network Optimization and Games [document électronique] / Terry L. Friesz, ; David Bernstein, ; SpringerLink (Online service) . - Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer, 2016 . - XIII, 504 p. 63 illus., 6 illus. in color : online resource. - (Complex Networks and Dynamic Systems, ISSN 2195-724X; 3) .
ISBN : 978-1-4899-7594-2
Langues : Anglais (eng)
Tags : Operations research Decision making Management science Operations Research Decision Theory Management Science Résumé : This is a book about infrastructure networks that are intrinsically nonlinear. The networks considered range from vehicular networks to electric power networks to data networks. The main point of view taken is that of mathematical programming in concert with finite-dimensional variational inequality theory. The principle modeling perspectives are network optimization, the theory of Nash games, and mathematical programming with equilibrium constraints. Computational methods and novel mathematical formulations are emphasized. Among the numerical methods explored are network simplex, gradient projection, fixed-point, gap function, Lagrangian relaxation, Dantzig-Wolfe decomposition, simplicial decomposition, and computational intelligence algorithms. Many solved example problems are included that range from simple to quite challenging. Theoretical analyses of several models and algorithms, to uncover existence, uniqueness and convergence properties, are undertaken. The book is meant for use in advanced undergraduate as well as doctoral courses taught in civil engineering, industrial engineering, systems engineering, and operations research degree programs. At the same time, the book should be a useful resource for industrial and university researchers engaged in the mathematical modeling and numerical analyses of infrastructure networks Note de contenu : Introduction -- Elements of Nonlinear Programming -- Elements of Graph Theory -- Programs with Network Structure -- Near-Network and Large-Scale Programs -- Normative Network Models and Their Solution -- Nash Games -- Network Traffic Assignment -- Spatial Price Equilibrium on Networks -- Network Stackelberg Games and Mathematical Programs with Equilibrium Constraints Permalink : https://genes.bibli.fr/index.php?lvl=notice_display&id=154901 Network Science, Nonlinear Science and Infrastructure Systems / SpringerLink (Online service) ; Terry L. Friesz / Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer (2007)
Titre : Network Science, Nonlinear Science and Infrastructure Systems Type de document : document électronique Auteurs : SpringerLink (Online service) ; Terry L. Friesz Editeur : Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer Année de publication : 2007 Collection : International Series in Operations Research & Management Science, ISSN 0884-8289 num. 102 Importance : VIII, 368 p. 106 illus Présentation : online resource ISBN/ISSN/EAN : 978-0-387-71134-8 Langues : Anglais (eng) Tags : Mathematics Operations research Decision making Computer communication systems Dynamics Ergodic theory Game theory Economic theory Regional economics Spatial economics Game Theory Economics Social and Behav. Sciences Dynamical Systems and Ergodic Theory Computer Communication Networks Operation Research Decision Theory Regional Spatial Science Economic Theory Quantitative Economics Mathematical Methods Résumé : Network Science, Nonlinear Science and Infrastructure Systems has been written by leading scholars in these areas. Its express purpose is to develop common theoretical underpinnings to better solve modern infrastructural problems. It is felt by many who work in these fields that many modern communication problems, ranging from transportation networks to telecommunications, Internet, supply chains, etc., are fundamentally infrastructure problems. Moreover, these infrastructure problems would benefit greatly from a confluence of theoretical and methodological work done with the areas of Network Science, Dynamical Systems and Nonlinear Science. This book is dedicated to the formulation of infrastructural tools that will better solve these types of infrastructural problems. Note de contenu : A Revolution in Infrastructure Network Research and Engineering? -- Networks and Dynamics: The Structure of the World We Live In -- Modeling Large Scale and Complex Infrastructure Systems as Computable Games -- Dynamic Competition on Networks: Differential Variational Inequalities, Limited Warfare and Internet Vulnerability -- Characterization and Monitoring of Nonlinear Dynamics and Chaos in Manufacturing Enterprise Systems -- Evolutionary Traffic Flow Landscapes: A Fitness Approach for ITS Management -- Network Connectivity Models: An Overview and Empirical Applications -- An Application of Complex Network Theory to German Commuting Patterns -- Assessing Critical Components in Transportation Systems: Economic Models and Complex Network Science Approaches -- A Simulation-Based Dynamic Intermodal Network Equilibrium Algorithm -- Modeling the Transient Nature of Dynamic Pricing with Demand Learning in a Competitive Environment -- An Evolutionary Variational Inequality Formulation of Supply Chain Networks with Time-Varying Demands -- Some Amazing Properties of Road Traffic Network Equilibria Permalink : https://genes.bibli.fr/index.php?lvl=notice_display&id=118137 Network Science, Nonlinear Science and Infrastructure Systems [document électronique] / SpringerLink (Online service) ; Terry L. Friesz . - Berlin ; Heidelberg (DEU) ; New York ; Bâle (CHE) : Springer, 2007 . - VIII, 368 p. 106 illus : online resource. - (International Series in Operations Research & Management Science, ISSN 0884-8289; 102) .
ISBN : 978-0-387-71134-8
Langues : Anglais (eng)
Tags : Mathematics Operations research Decision making Computer communication systems Dynamics Ergodic theory Game theory Economic theory Regional economics Spatial economics Game Theory Economics Social and Behav. Sciences Dynamical Systems and Ergodic Theory Computer Communication Networks Operation Research Decision Theory Regional Spatial Science Economic Theory Quantitative Economics Mathematical Methods Résumé : Network Science, Nonlinear Science and Infrastructure Systems has been written by leading scholars in these areas. Its express purpose is to develop common theoretical underpinnings to better solve modern infrastructural problems. It is felt by many who work in these fields that many modern communication problems, ranging from transportation networks to telecommunications, Internet, supply chains, etc., are fundamentally infrastructure problems. Moreover, these infrastructure problems would benefit greatly from a confluence of theoretical and methodological work done with the areas of Network Science, Dynamical Systems and Nonlinear Science. This book is dedicated to the formulation of infrastructural tools that will better solve these types of infrastructural problems. Note de contenu : A Revolution in Infrastructure Network Research and Engineering? -- Networks and Dynamics: The Structure of the World We Live In -- Modeling Large Scale and Complex Infrastructure Systems as Computable Games -- Dynamic Competition on Networks: Differential Variational Inequalities, Limited Warfare and Internet Vulnerability -- Characterization and Monitoring of Nonlinear Dynamics and Chaos in Manufacturing Enterprise Systems -- Evolutionary Traffic Flow Landscapes: A Fitness Approach for ITS Management -- Network Connectivity Models: An Overview and Empirical Applications -- An Application of Complex Network Theory to German Commuting Patterns -- Assessing Critical Components in Transportation Systems: Economic Models and Complex Network Science Approaches -- A Simulation-Based Dynamic Intermodal Network Equilibrium Algorithm -- Modeling the Transient Nature of Dynamic Pricing with Demand Learning in a Competitive Environment -- An Evolutionary Variational Inequality Formulation of Supply Chain Networks with Time-Varying Demands -- Some Amazing Properties of Road Traffic Network Equilibria Permalink : https://genes.bibli.fr/index.php?lvl=notice_display&id=118137