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Date submitted2014-10-02
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Date accepted2014-12-08
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Date published2015-08-25
Assessment of complicated systems quality on the basis of stochastic similarity methods
- Authors:
- D. A. Pervukhin
- A. A. Klavdiev
Modern development of technology is characterized by sharp complication of the tasks solved at production of products, high requirements to their reliability, short deadlines of creation and introduction in operation, aspiration to reduce costs of development of a product at satisfaction of the set conditions. The existing methods of an assessment and quality control of a product by results of tests are often inefficient in the conditions of the determined experiment or the diverse volume-limited statistical information on results of physical modeling, prototyping and tests of a small number of samples available. One of the solutions of the problem of ensuring quality and reliability at a design stage and production of products is an application of the theory of similarity and modeling. In the article the direction of development of the stochastic similarity theory for the effective solution of problems of an assessment and quality control of complicated systems in the course of their creation and operation is offered. The main theorems of similarity are formulated, the criterion of stochastic similarity in the form of the relation of functions of distribution of parameters (characteristics) of systems is theoretically reasonable and experimentally confirmed. Examples of the solution of applied tasks are given. Further development of the theory of stochastic similarity will allow us to advance in the research of non-limiting distributions which are a little described in classical probability theory and mathematical statistics, especially in that their part which will give the chance to manipulate selections of a small volume and censored selections obtaining maximum information from them.
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Date submitted2010-07-06
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Date accepted2010-09-06
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Date published2011-03-21
Distribution of products of destruction of granite files
The article considers the problem of size distribution of grain-size composition of the blasted rock mass, rock fragments blasted rock mass and rock blockiness. The logarithmic-normal distribution law is laid down for all blasted granite mass products. It was proved, that logarithmic variance of logarithmic normal distribution law of the fractured rock mass fragments’ distribution is a structural invariant on the level of statistical universe of the block and fragments.