Mathematical model of reliability management as a component of the decision support system in the activities of law enforcement agencies

The paper considers an approach to building a decision support system in the field of technical support for law enforcement agencies. The methods of managing the reliability of special-purpose equipment are investigated. The model of maintenance management (hereinafter referred to as the) of security equipment is considered, the model is tested on various values of system parameters. The task of optimizing the maintenance of equipment is formulated in the form of an optimal control problem. Using explicit difference schemes, a discrete optimal control problem is constructed, for which the necessary optimality conditions are formulated. Taking into account the obtained relations, an algorithm for numerical solution of the problem by gradient methods is proposed.