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In this paper, a stochastic optimization model of determining airport arrival slot numbers is presented in order to utilize slots resource effectively at congested airport. The model aims to maximize the arrival slots segmentation for busy airports and get the optimal slots profile through the day, according to various values of arrival slots and cost of delayed and cancelled flights in different time period. In addition, more robustness is performed by introducing some parameters such as expected delay rate and expected cancellation rate. Simulation experiment is resolved out by using the optimization software AIMMS4.19 with the relevant data in Guangzhou Baiyun International Airport. The experiment outcomes show the model can not only improve the economic benefit of airport but also effectively mitigate airport congestion at peak hours. [ABSTRACT FROM AUTHOR]