Flows in Networks Under Fuzzy Conditions
Authors: Bozhenyuk, A.V., Gerasimenko, E.M., Kacprzyk, J., Rozenberg, I.N.
Free Preview- Describes advanced methods for flow tasks in transportation networks
- Analyzes flow problems in dynamic networks
- Shows how to use the described methods in the GIS «ObjectLand»
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- About this book
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This book offers a comprehensive introduction to fuzzy methods for solving flow tasks in both transportation and networks. It analyzes the problems of minimum cost and maximum flow finding with fuzzy nonzero lower flow bounds, and describes solutions to minimum cost flow finding in a network with fuzzy arc capacities and transmission costs. After a concise introduction to flow theory and tasks, the book analyzes two important problems. The first is related to determining the maximum volume for cargo transportation in the presence of uncertain network parameters, such as environmental changes, measurement errors and repair work on the roads. These parameters are represented here as fuzzy triangular, trapezoidal numbers and intervals. The second problem concerns static and dynamic flow finding in networks under fuzzy conditions, and an effective method that takes into account the network’s transit parameters is presented here. All in all, the book provides readers with a practical reference guide to state-of-the art fuzzy methods for solving flow tasks and offers a valuable resource for all researchers and postgraduate students in the fields of network theory, fuzzy models and decision-making.
- Table of contents (4 chapters)
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Flow Tasks in Networks in Crisp Conditions
Pages 1-22
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Maximum and Minimum Cost Flow Finding in Networks in Fuzzy Conditions
Pages 23-75
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Flow Tasks Solving in Dynamic Networks with Fuzzy Lower, Upper Flow Bounds and Transmission Costs
Pages 77-159
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Implementing the Program for Solving the Flow Tasks in Networks in Fuzzy Conditions
Pages 161-166
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Table of contents (4 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Flows in Networks Under Fuzzy Conditions
- Authors
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- Alexander Vitalievich Bozhenyuk
- Evgeniya Michailovna Gerasimenko
- Janusz Kacprzyk
- Igor Naymovich Rozenberg
- Series Title
- Studies in Fuzziness and Soft Computing
- Series Volume
- 346
- Copyright
- 2017
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-41618-2
- DOI
- 10.1007/978-3-319-41618-2
- Hardcover ISBN
- 978-3-319-41617-5
- Softcover ISBN
- 978-3-319-82398-0
- Series ISSN
- 1434-9922
- Edition Number
- 1
- Number of Pages
- VIII, 168
- Number of Illustrations
- 115 b/w illustrations
- Topics
