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

الملخص 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.