Construction of a Φ-function for two convex polytopes

• Autorzy: Y. Stoyan , J. Terno , M. Gil , T. Romanova , G. Scheithauer
• Języki publikacji: EN

Abstrakty

EN

The analytical description of Φ-functions for two convex polytopes is investigated. These Φ-functions can be used for mathematical modelling of packing problems in the three-dimensional space. Only translations of the polytopes are considered. The approach consists of two stages. First the 0-level surface of a Φ-function is constructed, and secondly, the surface is extended to get the Φ-function. The method for constructing the 0-level surface is described in detail.

Kategorie tematyczne

• 90B06: Transportation, logistics
• 90C11: Mixed integer programming
• 90C26: Nonconvex programming, global optimization

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2002
• Tom: 29
• Numer: 2
• Strony: 199-218

Daty

wydano

2002

Twórcy

autor

Y. Stoyan

• Institute for Problems in Machinery, National Ukrainian Academy of Sciences, 2/10 Pozharsky St., Kharkov, 61046, Ukraine

autor

J. Terno

• Institute for Numerical Mathematics, Dresden University of Technology, 01062 Dresden, Germany

autor

M. Gil

• Institute for Problems in Machinery, National Ukrainian Academy of Sciences, 2/10 Pozharsky St., Kharkov, 61046, Ukraine

autor

T. Romanova

• Institute for Problems in Machinery, National Ukrainian Academy of Sciences, 2/10 Pozharsky St., Kharkov, 61046, Ukraine

autor

G. Scheithauer

• Institute for Numerical Mathematics, Dresden University of Technology, 01062 Dresden, Germany

Identyfikatory

DOI

10.4064/am29-2-6