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Flows in Networks Under Fuzzy Conditions

By: Alexander Vitalievich Bozhenyuk,Evgeniya Michailovna Gerasimenko,Janusz Kacprzyk,Igor Naymovich Rozenberg

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Flows in Networks Under Fuzzy Conditions

By: Alexander Vitalievich Bozhenyuk,Evgeniya Michailovna Gerasimenko,Janusz Kacprzyk,Igor Naymovich Rozenberg

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.

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Page Count

175

Publisher

Springer

Published Date

ISBN 10

3319416189

ISBN 13

9783319416182

Flows in Networks Under Fuzzy Conditions

By: Alexander Vitalievich Bozhenyuk,Evgeniya Michailovna Gerasimenko,Janusz Kacprzyk,Igor Naymovich Rozenberg

Write a review Read reviews Take a Quiz Solve Book Puzzle

Flows in Networks Under Fuzzy Conditions

By: Alexander Vitalievich Bozhenyuk,Evgeniya Michailovna Gerasimenko,Janusz Kacprzyk,Igor Naymovich Rozenberg

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.

Average ratings

N/A

5

0%

4

0%

3

0%

2

0%

1

0%

Solve jigsaw puzzle

Age

Page Count

175

Publisher

Springer

Published Date

ISBN 10

3319416189

ISBN 13

9783319416182