UDK 519.248
THE OPTIMIZATION OF STRATEGIES FOR THE OPERATION OF TECHNICAL SYSTEMS WITH THE PERFORMANCE OF EMERGENCY AND PREVENTIVE RESTORATIONS
I. I. Vainshtein [1], G. E. Mihalchenko [1], J. V. Vainshtein [1], K. V. Safonov [2]
[1] Institute of space and information technologies of Siberian Federal University 26, Kirenskogo str., ULK building, Krasnoyarsk, 660074, Russian Federation Е-mail: ikit.sfu-kras.ru [2] Siberian State Aerospace University named after academician M. F. Reshetnev 31, Krasnoyarsky Rabochy Av., Krasnoyarsk, 660014, Russian Federation E-mail: aaa@sibsau.ru
The strategy of technical system operation with mismatched time distribution function elements on the developments for the rejection after emergency and preventive restorations are considered. This strategy generalizes the strategy of strictly periodic restorations which is known in the mathematical theory of reliability. The formula of availability and cost intensity is obtained. By criterion of a minimum of costs intensity or a maximum of an availability, the problem of the choice of operation strategy from considered strategies are determined. There is a strategy with carrying out of preventive restorations and strategy with carrying out of emergency restorations for exponential laws of distribution practices.
restoration strategy, the intensity of cost, availability factor.
References

1. Beichelt F., Franken P. Nadezhnost’ i tekhnicheskoye obsluzhivaniye. Matematicheskiy podkhod [Reliability and Maintenance. Mathematical Approach]. Мoscow, Radio i svyaz Publ., 1988, 392 p.

2. Vainshtein V. I. Matematicheskoye i pro-grammnoye obespecheniye optimizatsii provedeniya pro-filakticheskikh vosstanovleniy pri ekspluatatsii elek-tronno-vychislitel’nykh sistem. Diss. kand. fiz.-mat. nauk [Mathematical and software providing of optimization of carrying out of preventive restorations at operation of electronic computing systems. Diss. on сompetition of a scientific degree of the candidate of phys. and math. sci.]. Krasnoyarsk, 2006, 149 p.

3. Sugak E. V. et al. Nadezhnost’ tehnicheskih sistem [Reliability of technical systems]. Krasnoyarsk, RASKO Publ., 2001, 608 p.


Vainshtein Isaak Iosifovich – Candidate of Physical and Mathematical Sciences, professor of Applied Mathematics and Computer Security Department, Institute of Space and Information Technology, Siberian Federal University. E-mail: isvain@mail.ru.

Vainshtein Yuliya Vladimirovna – Candidate of Physical and Mathematical Sciences, Associate Professor of Applied Mathematics and Computer Security Department, Institute of Space and Information Technology, Siberian Federal University. E-mail Julia_ww@mail.ru.

Safonov Konstantin Vladimirovich – Doctor of Physical and Mathematical Sciences, Head of the Department of Applied Mathematics of Siberian State Aerospace University named after academician M. F. Reshetnev. E-mail: safonovkv@rambler.ru

Mihalcenko Galina Efimovna – Candidate of Phisical and Mathematical Sciences, associate professor of the Department of Applied Mathematics and Computer Security, Institute of Space and Information Technology, Siberian Federal University. E-mail: mihal4enko.galina@yandex.ru.