MATHEMATICAL MODEL OF CONTROL OF RELIABILITY OF A TECHNICAL SYSTEM DURING THE DEVELOPMENT PHASE WITH APPLICATION OF THE MODIFIED METHOD OF SHORTEST DESCENT
Author(s): Makarov Yuri Nikolaevich, Babishin Vladimir Denisovich, Kulish Nikolay Semenovich, Parfenova Maria Yakovlevna, Kudanova Daria Dmitrievna
Rubric: Mathematical cybernetics
Release: 2019-2 (27)
Keywords: technical system, dynamic loading, resistance, reliability, tests
Annotation: In many practical applications, it is not always possible to solve the problem of optimization of technical system characteristics under dynamic loading at a given degree of reliability, especially for the objective function of a large number of variables. When solving this problem for the created small series technical systems at the design stage, there are no data for a priori statistical analysis and, as a rule, it is not possible to determine the entire set of possible disturbing effects (destabilizing factors or loads) that can lead to abnormal situations. Obtaining approximate solutions makes it necessary to conduct additional tests of the technical system to clarify the limit values of the parameters, which is associated with significant costs. Therefore, improving the accuracy of determining the required values of the characteristics of the technical system at the design stage will reduce the number of tests. In this paper we propose a modified method of sthortest descent on the basis of its interface with the method of accelerated search. The proposed approach allows to reduce the number of iterations and, accordingly, the number of tests while maintaining the required accuracy of the technical system parameters and to increase the stability of the solution to the reliability management problem at the development stage.
Bibliography: Makarov YU.NI., Babishin VL.DE., Kulish NI.SE., Parfenova MA.YA., Kudanova DA.DM. MATHEMATICAL MODEL OF CONTROL OF RELIABILITY OF A TECHNICAL SYSTEM DURING THE DEVELOPMENT PHASE WITH APPLICATION OF THE MODIFIED METHOD OF SHORTEST DESCENT // Education Resources and Technologies. – 2019. – № 2 (27). – С. 74-84. doi: 10.21777/2500-2112-2019-2-74-84