Energy-efficient regular strip covering with fixed-size identical sectors Научная публикация
Конференция |
XXIII International Conference Mathematical Optimization Theory and Operations Research 30 июн. - 6 июл. 2024 , Омск |
||||
---|---|---|---|---|---|
Сборник | Mathematical Optimization Theory and Operations Research: Recent Trends Сборник, Springer. 2024. 388 c. ISBN 978-3-031-73364-2. |
||||
Журнал |
Communications in Computer and Information Science
ISSN: 1865-0929 |
||||
Вых. Данные | Год: 2024, Том: 2239, Страницы: 161–171 Страниц : 11 DOI: 10.1007/978-3-031-73365-9_11 | ||||
Ключевые слова | Regular strip covering · Density minimization | ||||
Авторы |
|
||||
Организации |
|
Информация о финансировании (1)
1 | Институт математики им. С.Л. Соболева СО РАН | FWNF-2022-0019 |
Реферат:
We consider the problem of covering a strip with identical sectors of given size in order to minimize the coverage density. Early in the literature, researchers considered the problems of constructing strip covers with circles, ellipses, and sectors of minimum density by proposing various covering models and determining the optimal values of the parameters of the covering figures for each model. In this paper, we consider identical sectors as covering figures and specify their parameters instead of optimizing them. We propose several new covering models and found a formula for calculating density for each model. Unfortunately, these formulas are quite cumbersome, which did not allow us to compare the densities of all covers analytically. Therefore, we defined some properties programmatically. As a result, a minimum density coverage model was determined for different values of the sector’s parameters. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.
Библиографическая ссылка:
Erzin A.
, Anikeev M.
Energy-efficient regular strip covering with fixed-size identical sectors
В сборнике Mathematical Optimization Theory and Operations Research: Recent Trends. – Springer., 2024. – Т.2239. – C.161–171. – ISBN 978-3-031-73364-2. DOI: 10.1007/978-3-031-73365-9_11 Scopus OpenAlex
Energy-efficient regular strip covering with fixed-size identical sectors
В сборнике Mathematical Optimization Theory and Operations Research: Recent Trends. – Springer., 2024. – Т.2239. – C.161–171. – ISBN 978-3-031-73364-2. DOI: 10.1007/978-3-031-73365-9_11 Scopus OpenAlex
Даты:
Опубликована в печати: | 20 дек. 2024 г. |
Опубликована online: | 20 дек. 2024 г. |
Идентификаторы БД:
Scopus: | 2-s2.0-85214230840 |
OpenAlex: | W4405596766 |
Цитирование в БД:
Пока нет цитирований