Solution approaches for multiobjective convex quadratic and nonlinear optimization problems / vorgelegt von Marco Milano aus Ratingen. Wuppertal, Juli 2019
Inhalt
- Introduction
- Preliminaries
- Multiobjective Nonlinear Optimization and Descent Methods
- Multiobjective Convex Quadratic Programming
- Unconstrained and Equality Constrained Problems
- Multiobjective Convex Quadratic Problems in Canonical Form
- Determination of Efficient Bases
- Multiobjective Convex Quadratic Programming Problems in General Form
- Regularization of Positive Semidefinite Objective Matrices
- Multiobjective Mixed Linear and Convex Quadratic Problems
- Problems with Identical Objective Matrices
- Diagonal Objective Matrices and Box Constraints
- e-constraint Scalarization
- Applications in Location Analysis
- Conclusion
- Approximation of Multiobjective Convex Optimization Problems
- A Weight Space Decomposition for Multiobjective Convex Problems
- Multiobjective Convex Piecewise-Linear Programming Problems
- Weight Space Decomposition by Active Sets
- Outer Approximation
- Approximation of the Weight Space Decomposition
- Conclusion
- Conclusion