The paper considers a basic mathematical model of a placement optimization problem of any shape geometric objects. Peculiarifies of the mathematical model are given. On the ground of the peculiarities a general strategy to solve the problem is offered. Mathematical models of optimization problems of placement of spheres into a parallelepiped, circular cylinders into a parallelepiped and non-convex polytopes into a parallelepiped are built. To solve the problems the special software has been worked out.
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UCL, Inst Womens Hlth, London WC1E 6BT, EnglandUCL, Inst Womens Hlth, London WC1E 6BT, England
Blyuss, Oleg
Koriashkina, Larysa
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Oles Honchar Dnipropetrovsk Natl Univ, Dept Computat Math & Math Cybernet, Fac Appl Math, UA-49050 Dnepropetrovsk, Ukraine
Natl Min Univ, State Higher Educ Inst, Dept Syst Anal, Fac Informat Technol, UA-49050 Dnepropetrovsk, UkraineUCL, Inst Womens Hlth, London WC1E 6BT, England
Koriashkina, Larysa
Kiseleva, Elena
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Oles Honchar Dnipropetrovsk Natl Univ, Dept Computat Math & Math Cybernet, Fac Appl Math, UA-49050 Dnepropetrovsk, UkraineUCL, Inst Womens Hlth, London WC1E 6BT, England
Kiseleva, Elena
Molchanov, Robert
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SE Dnepropetrovsk Med Acad Hlth Minist Ukraine, UA-49044 Dnepropetrovsk, UkraineUCL, Inst Womens Hlth, London WC1E 6BT, England