SYSTEM ANALYSIS, INFORMATION MANAGEMENT AND PROCESSING, STATISTICS

Mathematical models and method for assessing the reliability of all-optical switches

E. A. Barabanova^a, K. A. Vytovtov^a, A. N. Fedorovskaya<sup>b

a</sup> Institute of Management Problems named after V.A. Trapeznikova Russian Academy of Sciences
^b Astrakhan State Technical University

Abstract: The work is devoted to the development of mathematical models and a method for assessing the reliability of all-optical or so-called photonic switches as one of the key elements of a control system built on the basis of modern technical means. The proposed method includes the development of block diagrams of the reliability of switches based on an analysis of their architectures, operating algorithms and control methods. Mathematical models are presented to calculate the reliability function as well as the average system operating time before failure occurs based on various failure distributions, such as exponential and Weibull–Gnedenko distributions. A comparison of reliability functions is presented for various options for constructing all-optical switches, taking into account the manufacturing technologies of basic elements, construction scheme and control method.

Keywords: photonic switch, reliability block diagrams, switching element, Weibull–Gnedenko distribution, reliability function, variation coefficient.

UDC: 004.031.2

DOI: 10.33693/2313-223X-2024-11-5-47-54