The methods of parametric synthesis on the basis of acceptability region discrete approximation


2016

Катуева Я. В., Назаров Д. А.

Доклады

Applied Mathematics in Engineering and Reliability: Proceedings of the 1st International Conference on Applied Mathematics in Engineering and Reliability (Ho Chi Minh City, Vietnam, 4-6 May 2016)

The Netherlands, EH Leiden, CRC Press/Balkema Taylor & Francis Group

DOI: 10.1201/b21348-31

187 - 192

978-1-138-02928-6

Y. Katueva & D. Nazarov "The methods of parametric synthesis on the basis of acceptability region discrete approximation". Applied Mathematics in Engineering and Reliability: Proceedings of the 1st International Conference on Applied Mathematics in Engineering and Reliability (Ho Chi Minh City, Vietnam, 4-6 May 2016). Pp. 187 - 192. DOI: 10.1201/b21348-31

The methods of parametric synthesis (parameter sizing) for providing parametric reliability using acceptability region discrete approximation with a regular grid are discussed. These methods are based on parametric optimization using deterministic criterion for the case of lack of information on parametric deviation trends and their distribution laws. A volume of a convex symmetrical figure inscribed into acceptability region is considered as an objective function of this optimization task. The methods of inscribing these figures into discrete approximation of acceptability region based on multidimensional implementation of Moore and von Neumann neighbourhoods are proposed in this work.

Applied Mathematics in Engineering and Reliability