This paper describes the process of shooting a mobile armored combat vehicle with directed fragmentation-beam shells as a discrete-continuous random process. Based on this approach, a stochastic model has been proposed in the form of a system of Kolmogorov-Chapman differential equations. A universal model of the process of defeating a moving armored target with directed fragmentation-beam shells has been built, which would provide preconditions for experimental studies into the effectiveness of various variants of the components of the artillery system for three-shot firing. The execution of an artillery task is considered as a set of certain procedures characterized by the average value of its duration. They are dependent on the firing phases involving a prospective automatic gun and the explosive destruction of fragmentation-beam shells while the explosive destruction of each shell case is characterized by the self-propagation of the reaction of explosive transformations based on tabular data on the target. An indicator of the functionality of various design options for fragmentation-beam shells is the probability of causing damage by «useful fragments» in the vulnerable compartments of a combat armored vehicle. Devising universal models for the process of shooting a moving armored vehicle forms preconditions for further full-time experiments in accordance with the design solutions defined as a result of modeling. It is possible to use the developed discrete-continuous stochastic model in other modeling tasks to determine the optimal value of defeat. As regards the practical application of discrete-continuous stochastic models, one can argue about the possibility of reducing the cost of performing design tasks related to weapons by 25 % and decreasing the likelihood of making mistakes at the stage of system engineering design

The subject of research is to determine the functional safety indicators of a fault-tolerant safety-critical system, namely, the minimal cut sets’ probability for a given duration of the system’s operation, using the state transition diagram (STD). The aim is to create a new method for analyzing the functional safety of a fault-tolerant safety-critical system. This method is based on the methodology of developing models of operational reliability behavior in the form of STD. This methodology provides a detailed representation of inoperable states and their relation with pre-failure (inoperable critical) states. The task is to propose a new classification for inoperable states of the STD to obtain all possible emergencies in the same space of inoperable states. This approach allows consideration the correlations between the failures, that it is impossible to use the fault trees. Since the space of inoperable states can reach hundreds and thousands of states, a method is proposed for their automated determination according to the classification. The state space method was used to conduct the validation of the method of functional safety analysis. The following results were obtained: the system of Chapman-Kolmogorov differential equations is formed in accordance with the STD and it provides the dependence of the functional safety indicator – the minimal cut sets’ probability as a function of the operational duration of the fault-tolerant safety-critical system. This dependence is called the emergency function. The method for determining the emergency function is based on the usage of the emergency mask. Note that the proposed model of operational reliability behavior in the form of STD provides the possibility to conduct both the functional safety and the reliability indicators. The value of the minimal cut sets’ probability for a given duration of operation is determined using the fault tree for the validation of the proposed method of functional safety analysis. The fault tree was built by Reliasoft BlockSim software. The obtained value coincides with the value of the minimal cut sets’ probability, which was defined by the emergency function for the same operational duration. Thus, the designer can comprehensively analyze the feasibility of introducing redundancy (structural, temporal, functional). Conclusions: the scientific novelty of the obtained results is the following: the new method for determining safe, critical and catastrophic states in the set of inoperable states is used in the methodology of the STD developing to obtain the stochastic model of operational reliability behavior of fault-tolerant safety-critical system. This technique ensures an automated defining of emergency function by using an improved structural-automatic model.

В статті представлено модель процесу взаємодії розвідувально-сигналізаційного комплексу з об'єктом виявлення, яку розроблено з використанням технології аналітичного моделювання дискретно-неперервних стохастичних систем. При розробці моделі враховано особливості місцевості (тип ґрунту, рельєф), пори року, розташування об'єкту, що охороняється, та наявність радіозавад.Ключові слова: розвідувально-сигналізаційний комплекс, автономна система виявлення і класифікації об'єктів, система передавання радіоповідомлень, система приймання і відображення інформації.

In this paper the concept of development of specialized program module for forming the program models of behavior algorithms of information systems is presented. The strategy of transformation state and transition graph for nonMarkov object of investigation is proposed.