An optimization problem of packing identical circles into a multiply connected region. Part 2. A solution method and its realisation
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. On the ground of the characteristics of a mathematical model a solution method is offered. The method consists of a combination of...
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| Datum: | 2011 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інстиут проблем машинобудування ім. А.М. Підгорного НАН України
2011
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| Schriftenreihe: | Проблемы машиностроения |
| Schlagworte: | |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/103878 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | An optimization problem of packing identical circles into a multiply connected region. Part 2. A solution method and its realisation / Yu.G. Stoyan, A.M. Chugay // Проблемы машиностроения. — 2011. — Т. 14, № 2. — С. 52-60. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| 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. On the ground of the characteristics of a mathematical model a solution method is offered. The method consists of a combination of a method of generating starting points, a modification of the feasible directions method to search for local maxima and a modification of the decremental neighbourhood search method to find an approximation to a global maximum. Numerical examples are given. |
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