Semi-Markov Mathematical Model of a Complex Radioelectronic System Operation Process with Limited Possibilities the Internal Control Means

Abstract

The paper presents a mathematical model of the operation process a complex electronic system with limited capabilities of internal control means, which is operated according to the planned and preventive operation strategy. The model is constructed using a semi-Markov random process. The failures model uses the diffusion-nonmonotonic distribution law, which is inherent in electronic products as an electrical phenomena result. Analytical dependence of the technical use coefficient on the scale and shape parameters of the diffusion-nonmonotonic distribution, the maintenance periodicity, the duration of complete recovery the equipment, the probability of receiving a signal of failure is installed. Graphs of dependence of the coefficient of technical use on the specified parameters of the model are given. The existence of the optimal periodicity of maintenance is proved, at which the maximum value of the coefficient of technical use is provided. The main results were obtained using the numerical method of calculation. This model can be used when planning the operation of existing and promising complex radioelectronic systems.