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Standardization as a component of control is based on a set of fundamental documents in the field of technical policy and product quality control. Customers and manufacturers put forward different requirements to the same kind of product: customers are interested in consumer functions on the basis of the product designation, while manufacturers are governed by quantitatively measurable parameters, which can be measured and controlled. The novelty of the proposed approach is to develop methods of coordination of requirements of the parties concerned using function-target analysis based on correspondence achievement between the requirements of the customer and the capabilities of the manufacturer. The principles of the new science of standardization, protypology are formulated. In accordance with this concept, development of standards can be represented in the form of the following stages: development of customer requirements as a set of properties and some measurable parameters, which characterize them; correspondence achievement between the customer properties and the product properties controlled by the manufacturer of the product; maximal approximation of differences between the positions of the customer and the manufacturer and development of the standard as the effective trade-off between the parties. On this basis, the procedure of meeting the requirements of the customer and the manufacturer was developed. The first stage consists of comparison of the customer requirements and the capabilities of the manufacturer, which can be easily represented in the form of a matrix. The second stage is the mathematical assessment of the similarity of individual quality parameters. Taking into account the principle of continuity in the assessment change as well as continuity of the speed of assessment change, the decreasing S-shape curve was built. The next stage is the function-target analysis of the product which makes it possible to establish relations between the consumer functions of the product and its quality parameters during the course of consumer phase of its life cycle. To calculate the complex assessment, it seems reasonable to make use of qualimetry formulas, which are used to assess the product quality. Thus, perfection of scientific and methodological fundamentals of standardization must be based on the application of mathematical tools to provide correct and rapid setting of requirements to products, types of work and services.

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Dimensional accuracy characterized by limit deviation in diameter is of great importance for the sized steel used for critical machine parts and tool production. Sized steel is manufactured by cold drawing with small single reductions. One of the ways to improve the dimensional accuracy is to take into account the recovery effect. As a result of the effect above the sized steel diameter after drawing is a bit larger than the die bearing diameter in the non-loaded condition. For some predetermined combinations of the drawing process factors the recovery value is quite comparable with the diameter tolerance limit determined by standards. It is especially characteristic for sized steel more than 10 mm in diameter with yield strength of more than 400 MPa. The study describes the investigation results of the drawing process factors influence the value of sized steel recovery. Using the finite elements method the authors carried out simulation of stress and strain state in the deformation zone during drawing. It was proved that there was a relationship between the radial stresses developed on the sized steel surface on the exit from the die bearing zone and the recovery value. The research group determined the dependence of recovery value on the degree of reduction, the coefficient of contact friction, the die semi-angle and the die bearing length, the bar yield strength and its diameter. The obtained results make it possible to determine the parameters of sized steel drawing with the preset diameter limit deviation taking into account the recovery effect within a wide deviation range of processing factors.