One of the approaches to solving the contradictory problems of “soft modeling” of the management of a medical institution

The article is devoted to the problem of both classification of contradictory conditions in management problems in medical institutions and their solution using the method of committees. In previous studies, it was found that medical problems require the use of “soft modeling” methods, which is often reduced to solving systems of linear equations and inequalities due to its difficulty in formalizing. This is where restrictions of various kinds arise. The purpose of the work. The purpose of this work is to study the contradictions in solving the problems of management of medical institutions, as well as the possibility of eliminating them using the committee method, as well as the approach of building the most joint subsystems. Materials and methods. It is proposed to use the method of maximally joint subsystems modified for the design of the problem, due to the probability of the model, that is, when the state vector is considered to be some random vector (random variable). Here, a situation arises related to the uncertainty principle, which is well solved with the help of the p-committee. The considered methods show effectiveness, since the approximate solution of an incompatible system turns out to be quite close to the true one. However, the classification of contradictions reveals new problems related to the dimension and number of members of the minimum committee. The results of the study. In the course of formulating the types of contradictions, it becomes clear that the problem of the number of members of the committee is reduced to the already solved problem of building maximally joint subsystems. Which, on the one hand, fully justifies the approach considered by the authors, and on the other hand makes it quite simple in the conditions of modern digitalization, since solving systems of linear inequalities is not time-consuming for modern computer programs. Discussion and conclusion. The results obtained allow us to assert that the use of “soft modeling” in the management of medical institutions is simpler, since it is reduced to clear and simple systems of inequalities, albeit incompatible, but this problem is solved using the method of committees. However, it is worth noting that in the end the problem has simple solutions when using convex functions, and the question remains open, in the general case.