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Flow networks : analysis and optimization of repairable flow networks, networks with disturbed flows, static flow networks and reliability networks /

Repairable flow networks are a new area of research, which analyzes the repair and flow disruption caused by failures of components in static flow networks. This book addresses a gap in current network research by developing the theory, algorithms and applications related to repairable flow networks...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Todinov, M. T. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam : Elsevier, 2013.
Edición:First edition.
Colección:Elsevier insights.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Front Cover; Flow Networks: Analysis and Optimizationof Repairable Flow Networks, Networks with Disturbed Flows, Static Flow Networks andReliability Networks; Copyright Page; Contents; Preface; 1 Flow Networks
  • Existing Analysis Approaches and Limitations; 1.1 Repairable Flow Networks and Static Flow Networks; 1.2 Repairable Flow Networks and Stochastic Flow Networks; 1.3 Networks with Disturbed Flows and Stochastic Flow Networks; 1.4 Performance of Repairable Flow Networks; 2 Flow Networks and Paths
  • Basic Concepts, Conventions and Algorithms.
  • 2.1 Basic Concepts and Conventions: Data Structures for Representing Flow Networks2.2 Pseudo-Code Conventions Used in the Algorithms; 2.3 Efficient Representation of Flow Networks with Complex Topology; 2.3.1 Representing the Topology of a Complex Flow Network by an Adjacency Matrix; 2.3.2 Representing the Topology of a Complex Flow Network by Adjacency Arrays; 2.4 Paths: Algorithms Related to Paths in Flow Networks; 2.4.1 Determining the Shortest Path from the Source to the Sink; 2.4.2 Determining All Possible Source-to-Sink Minimal Paths.
  • 2.5 Determining the Smallest-Cost Paths from the Source2.6 Topological Sorting of Networks Without Cycles; 2.7 Transforming Flow Networks; 3 Key Concepts, Results and Algorithms Related to Static Flow Networks; 3.1 Path Augmentation in Flow Networks; 3.2 Bounding the Maximum Throughput Flow by the Capacity of s-t Cuts; 3.3 A Necessary and Sufficient Condition for a Maximum Throughput Flow in a Static Network: The Max-Flow Min-Cut Theorem; 3.4 Classical Augmentation Algorithms for Determining the Maximum Throughput Flow in Networks.
  • 3.5 General Push-Relabel Algorithm for Maximising the Throughput Flow in a Network3.6 Applications; 3.7 Successive Shortest-Path Algorithm for Determining the Maximum Throughput Flow at a Minimum Cost; 3.7.1 Solved Example; 4 Maximising the Throughput Flow in Single- and Multi-Commodity Networks: Removing Parasitic Directed Loops of Flow in Netw ... ; 4.1 Eliminating Parasitic Directed Loops of Flow in Networks Optimised by Classical Algorithms; 4.2 A Two-Stage Augmentation Algorithm for Determining the Maximum Throughput Flow in a Network.
  • 4.3 A New, Efficient Algorithm for Maximising the Throughput Flow of the Useful Commodity in a Multi-Commodity Flow Network4.4 Network Flow Transformation Along Cyclic Paths; 5 Networks with Disturbed Flows Dual Network Theorems for Networks with Disturbed Flows: Reoptimising the Power Flows in Act ... ; 5.1 Reoptimising the Flow in Networks with Disturbed Flows After Edge Failures and After Choking the Edge Flows; 5.2 A Fast Augmentation Algorithm for Reoptimising the Flow in a Repairable Network After an Edge Failure.