This paper studies the existing hot-mix asphalt compaction technology and points out that designation of the appropriate asphalt rollers and working parameters has to be performed in accordance with mechanical characteristics of the layer. A way to avoid defects during the rolling process is proposed based on determination of material properties before starting asphalt compaction. Due to a large variety of used types and compositions of asphalt mixes, determination of their characteristics by practical consideration is impossible. The study considers the method for determination of asphalt mechanical properties based on implementation of the time-temperature superposition principle. A procedure for dynamic modulus computation at each stage of the compaction process has been developed. Comparison of calculation output with experimental data verifies the determined relation for dynamic modulus. Consideration of this parameter allowed developing a new mathematical formulation for the rheological model of roller-asphalt interaction. The conclusion is drawn pointing that application of the approach for the development of compaction technology based on calculation of dynamic modulus will result in enhanced pavement quality along with reduced labor expenditure and higher cost saving.