| Autor: | Christian Zillober |
|---|---|
| Rok vydání: | 2001 |
| Předmět: |
Convex analysis
Mathematical optimization Control and Optimization Mechanical Engineering Linear matrix inequality Proper convex function Aerospace Engineering Function (mathematics) Nonlinear programming Convex optimization Electrical and Electronic Engineering Software Conic optimization Interior point method Civil and Structural Engineering Mathematics |
| Zdroj: | Optimization and Engineering. 2:51-73 |
| ISSN: | 1389-4420 |
| DOI: | 10.1023/a:1011822920332 |
| Popis: | The method of moving asymptotes (MMA) and its globally convergent extension SCP (sequential convex programming) are known to work well in the context of structural optimization. The two main reasons are that the approximation scheme used for the objective function and the constraints fits very well to these applications and that at an iteration point a local optimization model is used such that additional expensive function and gradient evaluations of the original problem are avoided. The subproblems that occur in both methods are special nonlinear convex programs and have traditionally been solved using a dual approach. This is now replaced by an interior point approach. The latter one is more suitable for large problems because sparsity properties of the original problem can be preserved and the separability property of the approximation functions is exploited. The effectiveness of the new method is demonstrated by a few examples dealing with problems of structural optimization. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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