On one Approach for Stable Estimate of Technical System Efficiency





Efficiency evaluation of technical systems, mathematical model, ill-posed and inverse problems, regularizing algorithm


In present paper the problem of efficiency evaluation of technical system by measurable structural design parameters is investigated. To accomplish the purpose of considered problem it is constructed the mathematical model in the form of a finite-dimensional operator equation, where desired elements are both influence weights of the calculated structural design parameters and technical effectiveness indicator of the system. First, the constructed model is reduced to the normal system, and then the apparatus of the ill-posed inverse problem theory is used for the reduced problem: a regularizing operator is constructed and an algorithm for finding the regularization parameter is developed. 


Download data is not yet available.


M. A. Yastrebenetskii, and G. M. Ivanova, Reliability of Automated Control Systems for Engineering Processes. Moscow: Energoatomizdat, 1989.

V. S. Avduyevsky, V. I. Kuznetsov, N. D. Kuznetsov, V. A. Melnikov, V. P. Mishin, V. F. Utkin, K. V. Frolov, B. V. Gnedenko, I. N. Kovalenko, and B. F. Lomov, Reliability and Efficiency: Methodology. Organization. Terminology. Moscow: Engineering Industry, 1986.

A. N. Tikhonov, and V. Ya. Arsenin, Solutions of Ill-Posed Problems. Moscow: Science, 1986.

B. V. Gnedenko, Yu. K. Belyayev, and A. D. Solovyov. Mathematical Methods of Reliability Theory. Principal Characteristics of Reliability and Statistical Analysis. Moscow: URSS, 2013.

I. A. Ushakov, Yu. K. Belyaev, V. A. Bogatirov, and V. V. Bolotin, Reliability of Thechnical Systems. Moscow: Radio and Communication, 1985.

V. G. Totsenko, Methods and Systems for Decision-Making Support. Kiyiv: Naukovo Dumka, 2002.

V. V. Rykov, and V. Yu. Itkin. Mathematical Statistics and Planning an Experiment. – Moscow: Press of The Gubkin Russian State University of Oil and Gas, 2009.

J. Antony, Design of Experiments for Engineers and Scientists. London: Elsevier Science & Technology Books, 2003.

R. L. Mason, R. F. Gunts, and J. L. Hess, Statistical Design and Analysis of Experiments with Applications to Engineering and Science. New Jersey, USA: WILEY-Interscience, 2003.

S. Ch. Albright, W. Winston, and Ch. Zappe, Data Analysis and Decision Making. Mason, USA: South-Western Cengage Learning, 2010.

P. P. Biemer, and L. E. Lyberg, Introduction to Survey Quality. New Jersey, USA: Wiley-Interscience, 2003.

C. Hwang, and F. C-.H. Rhee, "Uncertain fuzzy clustering: interval type-2 fuzzy approach to c-means." IEEE Transaction on Fuzzy Systems, Vol. 15, Issue 1, pp. 107-120, 2007.

S. M. Yunusov, V. P. Labendik, and Sh. E. Guseynov, Monitoring and Diagnostics of Aircraft Gas Turbine Engines: Improvement of Models and Methods for Diagnosis of Gas Path of Gas Turbine Engines. Saarbrücken, Germany: Lambert Academic Publishing, 2014. http://www.amazon.com/Monitoring-Diagnostics-Aircraft-Turbine-Engines/dp/3659582727

S. A. Andreyev, and Sh. E. Guseynov, Regularizing Algorithms for Diagnosing: Applied to Gas Turbine Engines in Operation. Saarbrücken, Germany: Lambert Academic Publishing, 2013. http://www.amazon.com/Regularizing-algorithms-diagnosing-Applied-operation/dp/3659496006

V. K. Ivanov, "About linear ill-posed problems." Herald of The USSR Academy of Sciences, Vol. 145, Issue 2, pp. 270-272, 1962.

V. K. Ivanov, "About ill-posed assigned problems." Mathematical Collections, Vol. 61, Issue 2, pp. 211-213, 1963.

Sh. E. Guseynov and V. I. Dmitriev, "Investigation of resolving power and solution detailedness of inverse problems of magnetotelluric sounding." Herald of the Lomonosov Moscow State University, Series 15: "Computational Mathematics and Cybernetics", Vol. 1, pp. 17-25, 1995.

Sh. E. Guseynov and M. Okruzhnova, "Choice of a quasi-optimal regularization parameter for the first kind operator equations." Transport and Telecommunication, Vol. 6, Issue 3, pp. 471-486, 1995.

Sh. E. Guseynov and S. M. Yunusov, "New regularizing approach to determining the influence coefficient matrix for gas-turbine engines." in Dynamical Systems, Differential Equations and Applications. Vol. I, American Institute of Mathematical Sciences (AIMS), 2011, pp. 614-623.

V. A. Morozov, Regularization Methods for Ill-Posed Problems. Florida, USA: CRC Press, 1993.




How to Cite

S. E. Guseynov, A. I. Urbah, and S. A. Andreyev, “On one Approach for Stable Estimate of Technical System Efficiency”, ETR, vol. 3, pp. 100–108, Jun. 2015, doi: 10.17770/etr2015vol3.191.