An Optimized Covering Spheroids by Spheres

Pankratov, Alexander y Romanova, Tatiana y Litvinchev, Igor y Marmolejo Saucedo, José Antonio (2020) An Optimized Covering Spheroids by Spheres. Applied sciences, 10 (5). pp. 1-13. ISSN 2076-3417

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URL o página oficial: http://doi.org/10.3390/app10051846

Resumen

Covering spheroids (ellipsoids of revolution) by different spheres is studied. The research is motivated by packing non-spherical particles arising in natural sciences, e.g., in powder technologies. The concept of an ε -cover is introduced as an outer multi-spherical approximation of the spheroid with the proximity ε . A fast heuristic algorithm is proposed to construct an optimized ε -cover giving a reasonable balance between the value of the proximity parameter ε and the number of spheres used. Computational results are provided to demonstrate the efficiency of the approach.

Tipo de elemento:

Article

Palabras claves no controlados:

cobertura, esferoides, esferas, modelo matemático, optimización no lineal

Materias:

Q Ciencia > QA Matemáticas, Ciencias computacionales

Divisiones:

Ingeniería Mecánica y Eléctrica

Usuario depositante:

Editor Repositorio

Creadores:

Creador	Email	ORCID
Pankratov, Alexander	NO ESPECIFICADO	NO ESPECIFICADO
Romanova, Tatiana	NO ESPECIFICADO	NO ESPECIFICADO
Litvinchev, Igor	NO ESPECIFICADO	NO ESPECIFICADO
Marmolejo Saucedo, José Antonio	NO ESPECIFICADO	NO ESPECIFICADO