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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Збережено в:
Бібліографічні деталі
Дата:2011
Автори: Stoyan, Yu.G., Chugay, A.M.
Формат: Стаття
Мова:English
Опубліковано: Інстиут проблем машинобудування ім. А.М. Підгорного НАН України 2011
Назва видання:Проблемы машиностроения
Теми:
Онлайн доступ: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
Цитувати: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
Опис
Резюме: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.