Paper Info
Title
User equilibrium in traffic assignment problem with fuzzy N–A incidence matrix
Abstract
The user equilibrium in traffic assignment problem is to choose the minimum-cost path between every origin–destination pair and through this process, those utilized paths will have equal costs. In other words, giving cost and demand function for transportation between every origin–destination pair, the solution of the problem is to provide the minimum cost of which the flow is generated. In this study, we consider this problem when the N–A incidence matrix for transportation is fuzzy, in the sense that, which arcs are chosen into the desired path for traveling is uncertain. Therefore, we apply the method and concept of the theory of variational inequality with fuzzy convex cone to establish a user equilibrium pattern. Finally, the proposed method is demonstrated with a numerical example.
Year
DOI
Venue
1999
10.1016/S0165-0114(97)00298-4
Fuzzy Sets and Systems
Keywords
Field
DocType
User equilibrium problem,Variational inequality,Multiple objective programming,Fuzzy set theory
Mathematical optimization,Fuzzy logic,Fuzzy transportation,Convex set,Fuzzy set,Transportation theory,Assignment problem,Mathematics,Incidence matrix,Variational inequality
Journal
Volume
Issue
ISSN
107
3
0165-0114
Citations 
PageRank 
References 
4
0.40
0
Authors
2
Name
Order
Citations
PageRank
Hsiao-Fan Wang127827.24
Hsueh-Ling Liao281.23