Selection and justification of methods and mathematical models of equipment wear and replacement

DOI 10.51955/2312-1327_2023_1_27

Nikolai S. Khersonsky

Ludmila G. Bolshedvorskaya

Abstract. The authors develop and show the practical applicability of mathematical models for assessing the wear of equipment. According to the property of fixed assets, which equipment belongs to, it has to be replaced as a result of wear and tear. In this connection, the relevance of the conducted research is caused by the search of models for assessing their state at a given moment of time. The complexity of developing such models is due to the fact that the characteristics of equipment performance are random values and random functions. When planning the work of the enterprise it is necessary to take into account the statistical characteristics of the survivability of the equipment. Only in this way it is possible to foresee in advance the amount of renewable equipment, the order of preventive maintenance and the terms in which equipment should be replaced to ensure uninterrupted implementation of the production program without excessive investment expenditures of the enterprise.

Key words: Β mathematical models, wear and replacement of equipment, optimization.

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