Traffic Network Equilibrium Problems with Capacity Constraints of Arcs and Linear Scalarization Methods
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-04
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Traffic network equilibrium problems with capacity constraints of arcs are studied.
A (weak) vector equilibrium principle with vector-valued cost functions, which are different from the ones in the work of Lin (2010), and three kinds of parametric equilibrium flows are introduced.
Some necessary and sufficient conditions for a (weak) vector equilibrium flow to be a parametric equilibrium flow are derived.
Relationships between a parametric equilibrium flow and a solution of a scalar variational inequality problem are also discussed.
Some examples are given to illustrate our results.
American Psychological Association (APA)
Tian, X. Q.& Xu, Y. D.. 2012. Traffic Network Equilibrium Problems with Capacity Constraints of Arcs and Linear Scalarization Methods. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-993419
Modern Language Association (MLA)
Tian, X. Q.& Xu, Y. D.. Traffic Network Equilibrium Problems with Capacity Constraints of Arcs and Linear Scalarization Methods. Journal of Applied Mathematics No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-993419
American Medical Association (AMA)
Tian, X. Q.& Xu, Y. D.. Traffic Network Equilibrium Problems with Capacity Constraints of Arcs and Linear Scalarization Methods. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-993419
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993419
