Abstract
We propose a dual model of a multi-criteria network equilibrium model and establish a primal-dual relationship between the network model and its dual model under certain generalized monotonicity assumptions. By using Gerstewitz's function, we obtain the primal-dual relationship without any convexity assumptions. As an application of the dual model, we derive an existence result for the network model.
| Original language | English |
|---|---|
| Pages (from-to) | 615-628 |
| Number of pages | 14 |
| Journal | Journal of Industrial and Management Optimization |
| Volume | 5 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 6 Aug 2009 |
Keywords
- Duality
- Network equilibrium
- Variational inequality
- Wardrop's eqilibrium principle
ASJC Scopus subject areas
- Business and International Management
- Strategy and Management
- Control and Optimization
- Applied Mathematics