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  • Book
  • © 2017

Flows in Networks Under Fuzzy Conditions

  • 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»
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-viii
  2. Flow Tasks in Networks in Crisp Conditions

    • Alexander Vitalievich Bozhenyuk, Evgeniya Michailovna Gerasimenko, Janusz Kacprzyk, Igor Naymovich Rozenberg
    Pages 1-22
  3. Maximum and Minimum Cost Flow Finding in Networks in Fuzzy Conditions

    • Alexander Vitalievich Bozhenyuk, Evgeniya Michailovna Gerasimenko, Janusz Kacprzyk, Igor Naymovich Rozenberg
    Pages 23-75
  4. Flow Tasks Solving in Dynamic Networks with Fuzzy Lower, Upper Flow Bounds and Transmission Costs

    • Alexander Vitalievich Bozhenyuk, Evgeniya Michailovna Gerasimenko, Janusz Kacprzyk, Igor Naymovich Rozenberg
    Pages 77-159
  5. Implementing the Program for Solving the Flow Tasks in Networks in Fuzzy Conditions

    • Alexander Vitalievich Bozhenyuk, Evgeniya Michailovna Gerasimenko, Janusz Kacprzyk, Igor Naymovich Rozenberg
    Pages 161-166
  6. Back Matter

    Pages 167-168

About this book

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.

 

Authors and Affiliations

  • Southern Federal University , Taganrog, Russia

    Alexander Vitalievich Bozhenyuk, Evgeniya Michailovna Gerasimenko

  • Polish Academy of Sciences, Systems Research Institute Polish Academy of Sciences, Warszawa, Poland

    Janusz Kacprzyk

  • institute of railwayengineers”, Public corporation “Research & develop institute of railwayengineers”, Moscow, Russia

    Igor Naymovich Rozenberg

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access