Abstract. Output of products at the industrial enterprise means -the debugged working mechanisms at each stage of product's life cycle: from initial design documentation to product and finishing it with utilization. The topic of the article is development of mathematical model of system of designing and technological preparation of production in branch of the industrial enterprise, and also statistical processing of estimated implementation result of the developed mathematical model in branch, and demonstration of its advantages at application at this enterprise. During the creation of model of a data flow about driving of information, orders, details and modules in branch of the enterprise groups of divisions were classified. Proceeding from the analysis of activity of divisions, a data flow, details and documents the state graph of system of designing and technological preparation of production was constructed, transitions were described and coefficients are appropriated. To each condition of system of the constructed state graph the corresponding limiting state probabilities were defined, and also Kolmogorov's equations are worked out. When integration of sets of equations of Kolmogorov the probability of conditions of activity of the specified divisions and production as function of time in each instant is defined. On the basis of the developed mathematical model of uniform system of designing and technological preparation of production and manufacture, and a state graph by authors statistical processing of results of application of mathematical model was carried out, and also its advantage at application at this enterprise is shown. Researches on studying of probability of loading of services of branch and third-party contractors (the orders received from branch within a month) were conducted. The developed mathematical model of system of designing and technological preparation of production and manufacture can be applied to definition of probability of conditions of activity of divisions and manufacture as function of time in each instant that will allow to keep account of loading of performance of work in branches of the enterprise.
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