Energy-efficient regular strip covering with fixed-size identical sectors Full article
| Conference |
XXIII International Conference Mathematical Optimization Theory and Operations Research 30 Jun - 6 Jul 2024 , Омск |
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| Source | Mathematical Optimization Theory and Operations Research: Recent Trends Compilation, Springer. 2024. 388 c. ISBN 978-3-031-73364-2. |
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| Journal |
Communications in Computer and Information Science
ISSN: 1865-0929 |
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| Output data | Year: 2024, Volume: 2239, Pages: 161–171 Pages count : 11 DOI: 10.1007/978-3-031-73365-9_11 | ||||
| Tags | Regular strip covering · Density minimization | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0019 |
Abstract:
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.
Cite:
Erzin A.
, Anikeev M.
Energy-efficient regular strip covering with fixed-size identical sectors
In compilation 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
In compilation 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
Dates:
| Published print: | Dec 20, 2024 |
| Published online: | Dec 20, 2024 |
Identifiers:
| Scopus: | 2-s2.0-85214230840 |
| OpenAlex: | W4405596766 |
Citing:
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