The research aims to provide scientific reasons for the improvement of drilling process effectiveness by employing technical factors of working element lifespan improvement and parameter optimization, the braking system of drill winch, and decrease of production and non-production time. The article describes the results of experimental research on the determination of dimensionless parameters regarding constructive-geometric parameters of drilling winch brakes. By employing a full factorial experiment using the technique of central compositional orthogonal planning, regression equations were obtained, that characterize the mathematical model of the heat transfer process in the drill winch brake system, including additional cooling. Through the employment of computer experiments on the built mathematic-statistic regression model, the main optimal values for dimensionless parameters kR, kr, and ξ, according to the extreme values of the λR optimization criteria. Optimal values of kR=9.6; kr=0.75; ξ=14.2 factors are similar to the constructive-geometric parameters of drill winch brakes.