Abstract
We consider Benson efficiency of a multi-product network equilibrium model based on Wardrop's principle in this paper. We show that in both the single and multiple criteria cases, such proper efficiency can be recast as vector variational inequalities. In the multiple criteria case we derive a sufficient and a necessary condition for Benson efficiency in terms of vector variational inequalities by using the Gerstewitz's function.
| Original language | English |
|---|---|
| Pages (from-to) | 443-458 |
| Number of pages | 16 |
| Journal | Pacific Journal of Optimization |
| Volume | 5 |
| Issue number | 3 |
| Publication status | Published - 1 Sept 2009 |
Keywords
- Benson efficiency
- Network equilibrium
- Variational inequality
- Wardrop's equilibrium principle
ASJC Scopus subject areas
- Control and Optimization
- Computational Mathematics
- Applied Mathematics