Abstract:
The article examines the issue of modeling the process of customs clearance of foreign trade goods. A mathematical model for managing the considered process has been developed in the form of linear programming with variable coefficients in the objective function. The multi-stage nature of the customs clearance process for foreign trade goods is justified, as well as the necessity of using the customs risk function as coefficients in the objective function of the linear programming problem. The stages of the customs clearance process for foreign trade goods have been formed, and the customs risks associated with these stages have been identified. An analysis has been conducted of methods for solving the linear programming problem with variable coefficients in the objective function, such as the parametric programming method, the piecewise constant functions method, the differential transform method, the interval conditions method, the “small parameter” method, and others. It has been proven that it is impossible to solve the optimal control problem of the customs clearance process using the aforementioned methods. Problematic issues in solving similar problems are discussed, and directions for further research are proposed. A theorem on the existence of a solution to the optimal control problem of the customs clearance process has been proven. As a result, the optimal control problem of the customs clearance process is reduced to the problem of minimizing customs risks
Keywords:customs clearance, mathematical modeling, linear optimization, objective function with variable coefficient, customs risks.
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