An optimization problem of packing identical circles into a multiply connected region. Part 1. A mathematical model and its characteristics
The paper deals with an optimization problem of packing identical circles into a multiply connected region whose frontier consists of arcs of circles and line segments. The approach that allows to reduce solving the problem to solving a sequence of problems with linear objective functions is suggest...
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| Datum: | 2016 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України
2016
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| Schlagworte: | |
| Online Zugang: | https://journals.uran.ua/jme/article/view/70057 |
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| Назва журналу: | Journal of Mechanical Engineering |
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Journal of Mechanical Engineering| Zusammenfassung: | The paper deals with an optimization problem of packing identical circles into a multiply connected region whose frontier consists of arcs of circles and line segments. The approach that allows to reduce solving the problem to solving a sequence of problems with linear objective functions is suggested. To this end radii of all circles are taken as variables. In order to construct a mathematical model of the problem the concept of Ф-functions is using. Some important characteristics of the mathematical model are considered |
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