http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Flows in networks under fuzzy conditions
1 online resource (viii, 168 pages) : illustrations
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. .
Intro; Contents; Introduction; 1 Flow Tasks in Networks in Crisp Conditions; 1.1 Basic Concepts of the Flow Theory; 1.2 Selecting of the Arc Capacities; 1.2.1 Factors Leading to the Problem Statements in Fuzzy Conditions; 1.3 Fuzzy Logic as the Main Tool of Dealing with Uncertainty; 1.4 Flow Tasks in Transportation Networks; 1.4.1 Maximum Flow Finding in a Network; 1.4.2 Maximum Flow Finding in a Network with Nonzero Lower Flow Bounds; 1.4.3 Minimum Cost Flow Finding in a Network; 1.4.4 Minimum Cost Flow Finding in a Network with Nonzero Lower Flow Bounds; 1.5 Flow Tasks in Dynamic Networks
1.5.1 Maximum Flow Finding in Dynamic Networks with Zero and Nonzero Lower Flow Bounds1.5.2 Minimum Cost Flow Finding in Dynamic Network with Zero and Nonzero Lower Flow Bounds; 1.6 Summary; References; 2 Maximum and Minimum Cost Flow Finding in Networks in Fuzzy Conditions; 2.1 Maximum Flow Finding in a Network with Fuzzy Arc Capacities; 2.2 Method of Fuzzy Calculations with Fuzzy Numbers; 2.3 Maximum Flow Finding in a Network with Fuzzy Nonzero Lower and Upper Flow Bounds; 2.4 Minimum Cost Flow Finding in a Network with Fuzzy Arc Capacities and Transmission Costs
2.4.1 Potential Method for the Minimum Cost Flow Finding in a Network with Fuzzy Arc Capacities and Transmission2.5 Minimum Cost Flow Finding in a Network with Fuzzy Nonzero Lower, Upper Flow Bounds and Transmission Costs; 2.6 Summary; References; 3 Flow Tasks Solving in Dynamic Networks with Fuzzy Lower, Upper Flow Bounds and Transmission Costs; 3.1 Definition of the Fuzzy Dynamic Network; 3.2 Maximum Flow Finding in Dynamic Network with Fuzzy Transit Arc Capacities; 3.3 Maximum Flow Finding in Dynamic Network with Fuzzy Transit Nonzero Lower and Upper Flow Bounds
3.4 Minimum Cost Flow Finding in Dynamic Network with Fuzzy Transit Arc Capacities and Transmission Costs3.5 Minimum Cost Flow Finding in Dynamic Network with Fuzzy Nonzero Lower, Upper Flow Bounds and Transmission Costs; 3.6 Summary; References; 4 Implementing the Program for Solving the Flow Tasks in Networks in Fuzzy Conditions; 4.1 Functional Purpose of Proposed Program Complex; 4.2 Description of the Logical Structure of the Software Mode; 4.3 Preparing of Input Data Using GIS ObjectLand; 4.4 Summary; References; Conclusion
Alexander Vitalievich Bozhenyuk, Evgeniya Michailovna Gerasimenko, Janusz Kacprzyk, Igor Naymovich Rozenberg.
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Studies in fuzziness and soft computing ; v. 346