Abstract

The problem of construction of mathematical model of special technics or special objects and its metrological maintenance is extremely difficult. The basic complexity is connected by difficulties formalization of such system. The system is difficult to formalize primarily because of the large number of goals and sub-goals of metrological support. Moreover, the goals and sub-goals are often contradictory. This leads to the need for search of compromises between sub-goals. The article is devoted to the construction of mathematical models of operation of special equipment with metrological support. The new approach to construction of semi-Markov models of maintenance both the special equipment and its metrological support is presented. Semi-Markov models are proposed that describe a consistent change in the degree of achievement of the goals of operating special equipment and objects with metrological support. The influence of the interdependence of costs, losses and probabilities of being in various states of special equipment and objects on their quality is investigated. Two-dimensional losses and costs surfaces are constructed depending on the parameters of metrological support. The structure of these surfaces is studied. The possibility of classifying special equipment and objects for specifying the requirements for their metrological support was considered.

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