Abstract
We formulate a network equilibrium model with a unilateral constraint based on Wardrop's principle and establish that the model is equivalent to a quasi-variational inequality. For the case with vector cost functions, we use Gerstewitz's function to derive two equivalence relations between the vector network equilibrium model with a unilateral constraint and quasi-variational inequalities without any convexity assumptions.
Original language | English |
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Pages (from-to) | 453-464 |
Number of pages | 12 |
Journal | Journal of Industrial and Management Optimization |
Volume | 6 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Aug 2010 |
Keywords
- Network equilibrium
- Variational inequality
- Wardrop's equilibrium principle
ASJC Scopus subject areas
- Business and International Management
- Strategy and Management
- Control and Optimization
- Applied Mathematics