Sergei Udin

The paper deals with a review of the condition of certification under ISO 9000 standards at the Russian enterprises and a comparison with the international experience of certification. It is marked that, despite active advancement of ISO 9000standards, the degree of quality in machine industry is not high enough. It is underlined that the accent on document circulation leads to the problems in quality management. The solution of quality management problem should begin with the engineering procedure analysis. For simulation and process analysis the author offers to use the methods of mathematical information theory enabling more exact and safe outcomes in comparison with traditional modes. The example of manufacturing a cartridge is considered. It is proved that at the initial stage of the analysis it is possible to give recommendations about a 30 % reduction of the amount of control operations.

In this paper the authors scrutinize the application of successive statistical analysis for estimation of investment portfolio management efficiency control. They give the implementation algorithm of a cumulative sums method applied to the study of informational ratio change. The developed method has been applied to estimation of some unit investment fund management efficiency in Russia.

The paper deals with operation systems of tests automatic generation on mathematics to provide students with individual class and home tasks. There are millions of possible tasks. Use of the offered systems allows to liquidate students’ complaints on unequal variants, to lower time of inspection on 60 … 70%, to diminish expenditures of teacher’s time for making variants. Experience of use of tasks generators showed that it is possible to inspect level of mastering mathematics in the large group, to range students on pro-gress, operatively to adjust speed and form of material submission.

In work application of a packet of visual modeling of Simulink for the description of the main transactions of financial mathematics is considered. Benefits and possibilities of this tool are listed. The main stages of modeling are stated. Models of calculation of the increased amount when using the scheme of charge of simple and compound interests are constructed, and also models of transactions with flows of payments.

Some generalization of classical model of market balance (Valras's models) are made. Nonlinearity of laws of the demand and supply, dependence of these laws on change in price speed are considered. Specific examples of application of models are reviewed.