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Problem. The article analyzes the theoretical and methodological foundations of product quality management. The problem of the quality and safety of the operation of vehicles is considered from three angles. The first is directly the problem of the quality and reliability of vehicles as products. Therefore, a quantitative assessment of the quality of a wheeled vehicle is an urgent task and will be discussed in the article. The second aspect is the human-machine interaction in the "man - car - road - environment" system and directly the quality of the human performer driving the car. This aspect depends immediately on the ergonomic qualities of the car. The third aspect concerns the quality of the society and the issues that affect the quality of a quality vehicle designer. Goal. The main purpose of the research is to substantiate the methodological foundations of vehicle quality management as a product. The practical purpose of this work is to develop a methodology for a comprehensive quantitative assessment of the quality, reliability and safety of wheeled vehicles. Methodology. The paper considers groups of product quality characteristics. The possibility of a comprehensive qualitative assessment of the quality of vehicles is determined. The relevance of such an assessment is due to the wide variety of vehicles, the improvement of their technical characteristics against the backdrop of a slower development of the characteristics of the environment in which they are used. Another important circumstance is slow development of methods for assessing the quality of vehicles, which makes it difficult to choose the best option in accordance with the goals of their operation. Originality. The paper shows an extensive range of vehicle properties. A technique for a comprehensive assessment of the quality of vehicles is proposed. An assumption is made about the representation of quality indicators in a multidimensional space, in which each dimension corresponds to a certain group of properties. Practical value. To improve the objectivity of a comprehensive assessment, a number of units of property characteristics are described that have a metric dimension and are based on the physical and material representation of actions. It is concluded that it is necessary to develop and refine the methodology for a comprehensive quantitative assessment of quality in the area under research.

We have established the laws of change in the vehicle acceleration time at the existing step transmission of ICE, when implementing the total traction force, boundary for the drive wheels adhesion to the road, and during implementation of the proposed rational law for acceleration control. To model ICE speed characteristics, we applied the empirical dependence by S.R. Leyderman. The analytical expressions obtained allow us to implement such a change in vehicle acceleration depending on its speed that makes it possible to ensure maximum dynamism at minimal engine power consumption, taking into consideration a nonlinear change in external resistance. The maximum acceleration, which is possible to implement using the rational dynamic characteristic, can reach 7 m/s 2 . Based on the dependences obtained, it is possible to determine effective work of ICE required to accelerate a vehicle at different gears. An analysis of calculation results revealed that the transition from lower to higher gears is accompanied by a sharp decrease in engine energy expenditure required to accelerate the vehicle. It was established that for the case of hybrid vehicles, acceleration using the electric drive, rather than accelerating at lower gears of the mechanical drive, makes it possible to reduce energy losses by 20 % (for a four-cylinder internal combustion engine). Energy preservation is accomplished by reducing the fluctuation of traction force, as well as the possibility of a step-free change in motion speed.