On a combinatorial structure of the problems of optimal packing of geometric objects

1Yakovlev, SV
1National Aerospace University "Zhukovskiy Kharkiv Aviation Institute"
Dopov. Nac. akad. nauk Ukr. 2017, 9:26-32
https://doi.org/10.15407/dopovidi2017.09.026
Section: Information Science and Cybernetics
Language: Russian
Abstract: 

The problem of optimal layout of geometric objects with given shape and physico-metric parameters is considered. Combinatorial structure is allocated by forming the multiple tuples of physico-metric parameters. On the basis of a functional presentation of the permutations of tuples, an equivalent setting, in which physico-metric parameters are variables, is formulated. The proposed approach is illustrated by the problem of packing of unequal circles into a circle with minimal radius.

Keywords: combinatorial set, optimization, packing problem, tuple
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