Mathematical model of uniform system of design and technological preparation and production at the industrial enterprise
Abstract
Mathematical model of uniform system of design and technological preparation and production at the industrial enterprise
"This article describes modeling of uniform system of design and technological preparation and production. The mathematical model is based on base of the theory of probability, the theory of mass service and mathematical statistics. Its basis is markovsky casual process. If the stream of events at the enterprise is stationary, without a consequence and ordinary, this process is called the elementary. The average size of a flow of information of each service is determined by the law of distribution of Erlanga, the stream density is determined by the enterprise, and production transition from a condition to a condition of shops and productions is estimated. When modeling a flow of information on movement of information and details at the enterprise classification of divisions was offered. After the analysis of their activity and a flow of information, details and documents the state graph of uniform system of design and technological preparation and production is constructed. Transitions were thus described and factors are appropriated. For each condition of system of a state graph limiting probabilities of conditions were calculated and Kolmogorov's equations are worked out. At integration of data of systems of the equations the probability of conditions of activity of divisions and production as time functions during every moment of time is defined."
Keywords: system of design and technological preparation and production, state graph, Markov process, state probability, coefficient, Kolmogorov's equations