Упакування опуклих гомотетичних багатогранників в кубоїд

Autor: Stoyan, Yu. G., Chugay, A. M.

Publikováno v: Journal of Mechanical Engineering; Том 21, № 2 (2018): Journal of Mechanical Engineering; 45-59
Проблемы машиностроения; Том 21, № 2 (2018): Проблемы машиностроения; 45-59
Проблеми машинобудування; Том 21, № 2 (2018): Проблеми машинобудування; 45-59

This paper deals with the optimization problem of packing a given set of homothetical arbitrarily oriented convex polytopes without their overlapping in a linear parallelepiped of minimal volume. Phi-functions are proposed to be used as a constructiv

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=scientific_p::44040b9cf6d04e4564afbe7f010e39b6
http://journals.uran.ua/jme/article/view/135431

An optimization problem of packing identical circles into a multiply connected region. Part 2. A solution method and its realisation

Autor: Stoyan, Yu. G., Chugay, A. M.

Publikováno v: Journal of Mechanical Engineering; Том 14, № 2 (2011); 52-60
Проблемы машиностроения; Том 14, № 2 (2011); 52-60
Проблеми машинобудування; Том 14, № 2 (2011); 52-60

The paper deals with an optimization problem of packing identical circles into a multiply connected region whose frontier consists of arcs of circles and line segments. On the ground of the characteristics of a mathematical model a solution method is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=scientific_p::7ce86de4a283ff14589e558d9ae38d4e
http://journals.uran.ua/jme/article/view/70114

Mathematical Model and Solution Method of Optimization Problem of Placement of Rectangles and Circles Taking into Account Special Constraints.

Autor: Stoyan, Yu. G., Yaskov, G. N.

Publikováno v: International Transactions in Operational Research. Jan1998, Vol. 5 Issue 1, p45. 13p.

Regular packing of congruent polygons on the rectangular sheet.

Autor: Stoyan, Yu. G.¹, Pankratov, A.V.¹

Publikováno v: European Journal of Operational Research. 03/16/99, Vol. 113 Issue 3, p653-675. 23p. 9 Diagrams, 1 Chart, 10 Graphs.

Mathematical model and method of searching for a local extremum for the non-convex oriented polygons allocation problem.

Autor: Stoyan, Yu. G.¹, Novozhilova, M. V.¹, Kartashov, A. V.¹

Publikováno v: European Journal of Operational Research. 7/5/96, Vol. 92 Issue 1, p193-210. 18p.