Abstract: The present study have shown that the model of a business-process can be presented in several equivalent ways: verbally at a substantial level, graphically as a oriented graph and analytically using regular expressions of events algebra. At business-processes management the common use of verbal, graphic and analytical forms of models is of interest. The new method, algorithm and computing procedure of business-processes management modeling is developed on the basis of production functions and regular expressions of events algebra which differ from known for more perfect graphic interface focused on the end user of the computer. The developed method, algorithm and computing procedure of operative business-processes management modeling are a part of mathematical supplying of the enterprise on monocrystals manufacture and have allowed to increase quality of made production essentially.