Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Пашин В. М. Duality Theory and Optimization of Sophisticated Engineering Systems. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2008, vol. 8, iss. 3, pp. 66-72. DOI: 10.18500/1816-9791-2008-8-3-66-72

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
16.06.2008
Full text:
(downloads: 140)
Language: 
Russian
Heading: 
UDC: 
519.853.2:629.5.01.001.26

Duality Theory and Optimization of Sophisticated Engineering Systems

Autors: 
Пашин В. М., TSNII im. Acad. A. N. Krylov
Abstract: 

The design of sophisticated engineering systems (like the ship, airborne vehicle, production complex, etc.) is usually a multilevel process when the object under design is split up into separate sub-systems. At the same time, the quest for the best solutions for separate sub-systems should comply with requirements for optimality of the designed object as a whole. It is suggested to meet this condition with the help of local criteria developed using dual assessments (Lagrangian coefficients) of the duality theory in the non-linear mathematic programming. Application of the said criteria for the practical tasks has been reviewed.

Key words: 
References: 
  1. Гольштейн Е.Г. Теория двойственности в математическом программировании и её приложения. М.: Наука,1971. C. 57–72.
  2. Фиакко А., Мак-Кормик Г. Нелинейное программирование. Методы последовательной безусловной мини-мизации. М.: Мир, 1972. С.52–56.
  3. Машиностроение: Энциклопедия / Под ред. акад. РАН К.В. Фролова. СПб.: Политехника, 2003. С. 72–90.