Mamatova Zilolakhon Khabibullokhonovna

dental compressor, equipment replacement, maintenance costs, dynamic programming, directed acyclic graph (DAG), operating costs, mathematical optimization, dental clinic, Excel calculations, 9-year planning.

In this article, the problem of minimizing the costs associated with replacing and maintaining dental compressors used in dental clinics is mathematically modeled within a 9-year planning horizon. The cost structure of a dental compressor over its operational lifetime — including the initial purchase price, the annually increasing maintenance and repair expenses, and the residual value at the end of its service period — is comprehensively taken into account. To determine the optimal operating strategy that ensures minimal total cost, a recursive dynamic programming algorithm was developed and applied to the 9-year period. Practical calculations carried out in Microsoft Excel made it possible to identify in which years it is economically reasonable to repair the dental compressor and in which years it is preferable to replace it. The results of the study hold significant practical value for scientifically planning the operation of technological equipment in dental clinics, optimizing depreciation policy, and reducing the overall financial burden.

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