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Expenses for maintenance of mine roads at any moment depend on volumes of road surface, needed for laying at the same moment, to transform roads into a usable condition. A method is presented for their quantitative determination toward a series of consecutive moments and principles of statistical modeling are applied for determining the regularities of change of expenses with the time.

An option is discussed for creating goal functions for optimizing the expenses for maintenance and repair of mine roads by the means of hyperbolic functions. A transition is presented of the selected hyperbolic functions to a function of decimal liner character and the goal functions are solved parametrically for main betweenrepair schemes.

Goal functions – economic-mathematical models for minimizing the average annual expenditure for repair and maintenance of mine roads are composed and solved. The models are composed of polynomial functions. Results are presented from the practice of mines “Vitren” EAD and “Opencast mining” – Pernik, EAD.

Exponential functions are very effective for describing the regularities of change of expenses for maintenance of mine automobile roads. The solution of goal functions in their parametrical type is interesting as economic mathematical models are often constituted of goal functions.