Monotonic Random Walks and Clusters Flows on Networks: Models and Traffic Applications

Kozlov, Valery V., Buslaev, Alexander P., Tatashev, Alexand

ISBN 10: 3659339873 / ISBN 13: 9783659339875

Published by LAP LAMBERT Academic Publishing, 2013

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Bibliographic Details

• Title: Monotonic Random Walks and Clusters Flows on Networks: Models and Traffic Applications
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2013
• Language: English
• ISBN 10: 3659339873
• ISBN 13: 9783659339875
• Binding: Paperback
• Condition: Like New
• Book Type: book

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Synopsis

One approach to modeling flows in the socio-technical systems, for example road traffic, reduces to decompose the movement of the collective and the individual components. A collective component is described by a system of differential equations, and an individual component corresponds to stochastic movement within the cell decomposition defined by the collective modes. This monograph discusses both components with varying degrees of detail including the regular networks. Moreover we study the cluster model as a simplified analogue of structures, following from hydrodynamic approaches, and can be applied for investigation of multi-lane flows on networks. Basic characteristics of the models are researched.

About the Author

Steklov Mathematical Institute of RAS, Editor;Alexander P. Buslaev, Moscow Automobile & Road STU (MADI); Alexander G. Tatashev, Moscow TU of Communications and Informatics (MTUCI). The monograph was supported by Grant of RFBR No.11-01-12140-ofi-m