Ignatova Y. Mathematical modeling in the management of grain processing enterprises, considering systems characteristics

The thesis deals with a theoretical synthesis and proposes of a scientific problem of modeling grain processing enterprises activities, considering systems characteristics of the adaptability, agility, flexibility, and risk. There were strictly analyzed business processes, policies, functions, and management problems of grain processing enterprises in Ukraine. This study utilized a queuing network model to investigate how queue management could help to improve the performance of a country elevator receiving multiple grain streams. Activity of the grain processing enterprise is analyzed, as in the stationary state, and in real time. Defined the amount of time, on which the grain processing enterprises will be released in stationary mode during the most intense day of work. It is proved that the stationary distribution is independent of the initial vector of parameters of the enterprise. For all of the models in the dissertation were found the stationary distribution of probabilities. Once this distribution is found, calculation of other important characteristics - the stationary residence time distribution requirements in the system -may be effected by conventional approaches. There are developed analytical expressions for some queuing network systems. Implementation of the proposed models can give ability to create the set of working plans of grain enterprise and allows for adaptive control of grain processing enterprises, depending on the intensity of the proceeds of grain. In order to determine the rational portfolio of crops for grain there is offered economic and mathematical model based on the tools of regular homogeneous Markov chains.