Analysis of the statistics on the regularity of aircraft departures from the airport shows that one of the reasons for delays is poor operational management, leading to deviations from established norms in the timing of individual technological operations preparing aircraft for departure. This article presents an approach to solving this problem, which is considered a multi-criteria task. To address it, an imitation model in the form of a complex of modules has been developed. A corresponding algorithm for the functioning of each module has been devised. To ensure the necessary conformity of the model to real conditions, a check of the technological process variables for stochasticity has been conducted based on daily flight plans of the airport, using Wilcoxon and Smirnov-Kolmogorov criteria. Based on the timing of the duration characteristics of individual technological operations for servicing flights of different aircraft types under various conditions, a “Random Variable Generator” scheme has been developed. Frequency polygons and probability distribution functions of deviations in aircraft arrivals, obtained through statistical analysis, are presented in the paper