ABSTRACTS OF ARTICLES OF THE JOURNAL "INFORMATION TECHNOLOGIES".
No. 2. Vol. 27. 2021

DOI: 10.17587/it.27.64-71

S. M. Sidorov, Senior Lecturer, e-mail: xaevec@mail.ru, Sevastopol State University, Higher Mathematics Department, Sevastopol, 299053, Russian Federation

Hidden Markov Model of Two-Component System with Group Instantly Replenished Time Reserve

Most systems allow the construction of a semi-Markov model. However, during the operation of the system, full information contained in the state encoding is not always available, but it is possible to obtain some signal (information). Tasks arise to assess the consistency of the model with the received data (signals), to refine the model and its parameters. Such parameters can be characteristics of random values characterizing system operation, time reserve value, etc. The theory of hidden Markov models allows solving these problems. In order to move from a semi-Markov model of the system to its hidden Markov model, it is proposed to first the semi-Markov model merge using a stationary phase merging algorithm. In this paper, on the basis of the semi-Markov model with a common phase state space of a two-component system with a group instantly replenished timereserve, we construct a hidden Markov model of a two-component system with a group instantly replenished time reserve. It is used to evaluate the characteristics and predict the states of the system in question based on the received vector of signals. The influence of the time reserve value on the probability of occurrence of the obtained vector of signals is shown.
Keywords: semi-Markov model, time reserve, hidden Markov model, phase merging algorithm, vector of signals, characteristic estimation, state prediction

P. 64–71

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