6533b823fe1ef96bd127eaae
RESEARCH PRODUCT
ε-Regularized two-level optimization problems: Approximation and existence results
Jacqueline MorganPierre Loridansubject
Mathematical optimizationVector optimizationWork (thermodynamics)Optimization problemL-reductionApproximation algorithmHardness of approximationConvexityPolynomial-time approximation schemeMathematicsdescription
The purpose of this work is to improve some results given in [12], relating to approximate solutions for two-level optimization problems. By considering an e-regularized problem, we get new properties, under convexity assumptions in the lower level problems. In particular, we prove existence results for the solutions to the e-regularized problem, whereas the initial two-level optimization problem may fail to have a solution. Finally, as an example, we consider an approximation method with interior penalty functions.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-11-24 |