Abstract
The thesis consists of three papers in the area of Response Surface Methodology (RSM). The first paper deals with optimization problems with a single random objective. The contributions of that paper are a scale independent search direction and possible solutions for the step size. The second paper considers optimization problems with a single random objective and multiple random constraints, as well as deterministic box constraints. That paper extends RSM to cope with constraints, using ideas from interior point methods. Furthermore, it provides a heuristic to reach quickly a neighborhood of the optimum. The third paper copes with optimization problems with a single random objective and multiple random constraints. The contribution of that paper is an asymptotic stopping rule that tests the first-order necessary optimality conditions at a feasible point.
Original language | English |
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Qualification | Doctor of Philosophy |
Awarding Institution |
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Supervisors/Advisors |
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Award date | 29 Jun 2004 |
Place of Publication | Tilburg |
Publisher | |
Print ISBNs | 9056681346 |
Publication status | Published - 2004 |