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Inicio  /  Applied Sciences  /  Vol: 10 Par: 5 (2020)  /  Artículo
ARTÍCULO
TITULO

An Optimized Covering Spheroids by Spheres

Alexander Pankratov    
Tatiana Romanova    
Igor Litvinchev and Jose Antonio Marmolejo-Saucedo    

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 e e -cover is introduced as an outer multi-spherical approximation of the spheroid with the proximity e e . A fast heuristic algorithm is proposed to construct an optimized e e -cover giving a reasonable balance between the value of the proximity parameter e e and the number of spheres used. Computational results are provided to demonstrate the efficiency of the approach.