Traffic network equilibrium problems with demands uncertainty and capacity constraints of arcs by scalarization approaches

2018 ◽  
Vol 61 (11) ◽  
pp. 1642-1653 ◽  
Author(s):  
JinDe Cao ◽  
RuoXia Li ◽  
Wei Huang ◽  
JianHua Guo ◽  
Yun Wei
Keyword(s):  
Equilibrium Problems ◽  
Capacity Constraints ◽  
Network Equilibrium ◽  
Traffic Network ◽  
Traffic Network Equilibrium ◽  
Network Equilibrium Problems

scholarly journals Traffic Network Equilibrium Problems with Capacity Constraints of Arcs and Linear Scalarization Methods

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
X. Q. Tian ◽  
Y. D. Xu
Keyword(s):  
Equilibrium Problems ◽  
Sufficient Conditions ◽  
Capacity Constraints ◽  
Network Equilibrium ◽  
Traffic Network ◽  
Equilibrium Flow ◽  
Traffic Network Equilibrium ◽  
Vector Equilibrium ◽  
Network Equilibrium Problems ◽  
Weak Vector

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.

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