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Flows in Networks Under Fuzzy Conditions

  • Alexander Vitalievich Bozhenyuk
  • Evgeniya Michailovna Gerasimenko
  • Janusz Kacprzyk
  • Igor Naymovich Rozenberg

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 346)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Alexander Vitalievich Bozhenyuk, Evgeniya Michailovna Gerasimenko, Janusz Kacprzyk, Igor Naymovich Rozenberg
    Pages 1-22
  3. Alexander Vitalievich Bozhenyuk, Evgeniya Michailovna Gerasimenko, Janusz Kacprzyk, Igor Naymovich Rozenberg
    Pages 23-75
  4. Alexander Vitalievich Bozhenyuk, Evgeniya Michailovna Gerasimenko, Janusz Kacprzyk, Igor Naymovich Rozenberg
    Pages 77-159
  5. Alexander Vitalievich Bozhenyuk, Evgeniya Michailovna Gerasimenko, Janusz Kacprzyk, Igor Naymovich Rozenberg
    Pages 161-166
  6. Back Matter
    Pages 167-168

About this book

Introduction

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.

 

Keywords

Fuzzy Transportation Network Maximum Flow Minimum Cost Flow Nonzero Lower Flow Bound Fuzzy Dynamic Network Transit Network Parameters GIS «ObjectLand» Transportation Profitability

Authors and affiliations

  • Alexander Vitalievich Bozhenyuk
    • 1
  • Evgeniya Michailovna Gerasimenko
    • 2
  • Janusz Kacprzyk
    • 3
  • Igor Naymovich Rozenberg
    • 4
  1. 1.Southern Federal University TaganrogRussia
  2. 2.Southern Federal University TaganrogRussia
  3. 3.Polish Academy of SciencesSystems Research Institute Polish Academy of SciencesWarszawaPoland
  4. 4.institute of railwayengineers”Public corporation “Research & develop institute of railwayengineers”MoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-41618-2
  • Copyright Information Springer International Publishing Switzerland 2017
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-41617-5
  • Online ISBN 978-3-319-41618-2
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site