Csallner András Erik: Improving storage handling of interval methods for global optimization. In: Acta cybernetica, (13) 4. pp. 413-421. (1998)
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Abstract
Global nonlinear optimization problems can be solved by interval subdivision methods with guaranteed reliability. These algorithms are based on the branch-and-bound principle and use special storage utilities for the paths not pruned from the search tree yet. In this paper the possibilities for the kinds of applied storage units are discussed. If no ordering is kept in the storage unit then the dependence of the number of operations demanded by the storage on the iterations completed is quadratic in worst case. On the other hand, ordering the elements as it is " necessary for choosing new elements from the storage unit for backtracking, the worst case for the number of storage operations done to the fc-th iteration has the magnitude k log k. The hybrid method defined in this paper satisfies the same complexity properties. It is also proved that the fclogfc magnitude is optimal.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta cybernetica |
| Date: | 1998 |
| Volume: | 13 |
| Number: | 4 |
| ISSN: | 0324-721X |
| Page Range: | pp. 413-421 |
| Language: | English |
| Place of Publication: | Szeged |
| Related URLs: | http://acta.bibl.u-szeged.hu/38506/ |
| Uncontrolled Keywords: | Számítástechnika, Kibernetika |
| Additional Information: | Bibliogr.: 421. p. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.02. Computer and information sciences |
| Date Deposited: | 2016. Oct. 15. 12:26 |
| Last Modified: | 2022. Jun. 13. 15:39 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/12600 |
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