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...
Збережено в:
Дата: | 2011 |
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Автори: | , |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
Інстиут проблем машинобудування ім. А.М. Підгорного НАН України
2011
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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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of UkraineРезюме: | 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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