A novel non-linear approach to minimal area rectangular packing
- This paper disscuses the minimal area rectangular packing problem of how to pack a set of specified, non-overlapping rectangels into a rectangular container of minimal area. We investigate different mathematical programming approaches of this and introduce a novel approach based on non-linear optimization and the \\\"tunneling effect\\\" achieved by a relaxation of the non-overlapping constraints.
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| Author: | V. Maag, M. Berger, A. Winterfeld, K.-H. Küfer |
|---|---|
| URN: | urn:nbn:de:hbz:386-kluedo-15489 |
| Series (Serial Number): | Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (126) |
| Document Type: | Report |
| Language of publication: | English |
| Year of Completion: | 2007 |
| Year of first Publication: | 2007 |
| Publishing Institution: | Fraunhofer-Institut für Techno- und Wirtschaftsmathematik |
| Date of the Publication (Server): | 2008/06/18 |
| Tag: | non-linear optimization; non-overlapping constraints; rectangular packing; regularization |
| Faculties / Organisational entities: | Fraunhofer (ITWM) |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
| Licence (German): |  Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |