The present work reviews the border checkpoints in Bulgaria and their work for one year. On the basis of collected information, the seasonal inconsistency of work at the border checkpoints is assessed and their work is modeled as a mass service system (queuing system or theory) to assess capacities to a specific point in the existing infrastructure and organization of work. Capacity of border crossing point is defined as the time for stay of heavy goods vehicles at different incoming flows as well as the limit value of the number of cars that can be handled. For the calculation of the parameter values, an application in a MatLab environment was created. A fractional rational function of the fourth degree is chosen as a numerator and denominator.
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