T.E. Gel'fman1, R.Yu. Zaytsev2, A.P. Pirkhavka3

1–3 MIREA – Russian University of Technology (Moscow, Russia)

1 gelfman@mirea.ru, 3 pirkhavka@mirea.ru

When determining the optimal redundancy rates for electronic warfare systems (RES), developers need to make a compromise between reliability and cost. With a large number of backup sites, the complexity of calculations increases dramatically, so it is important to use computer modeling. The purpose of the work is to solve two problems of optimizing redundancy multiplicity.

A methodology for calculating and modeling the optimal RES reserve is presented. It is noted that the basis of the technique is the Lagrange multiplier method, which makes it possible to find the extremes of the function under study in the presence of constraints set by equations or inequalities. It is shown that the proposed technique transforms the initial problem with constraints into a problem with an unconditional extremum, which significantly reduces the complexity of the calculation algorithm and allows programming solution algorithms and creating an automated calculation of optimization problems. Based on the considered methodology, a program in the Python programming language has been developed. Algorithms for the sequence of calculations and examples of calculations using the program are considered. The proposed methodology for compiling a table of multiplicities and plotting a schedule for optimizing redundancy for two tasks using the program's functionality allows you to determine the optimal redundancy multiplicities.

Gel'fman T.E., Zaytsev R.Yu., Pirkhavka A.P. Optimization of electronic redundancy by Lagrange multiplier method. Achievements of modern radioelectronics. 2025. V. 79. № 12. P. 88–94. DOI: https://doi.org/10.18127/j20700784-202512-15 [in Russian]

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