Abstract: In order to improve the efficiency of solving the stochastic ground holding policy (GHP) model, the delay cost formula was established by induction method. Then, 4 typical cases with different combinations between air-ground cost ratio and the probability of typical capacity scenarios were analyzed, and the discriminant method of effective capacity was derived by enumeration. After that, multiple stochastic capacities were transformed into one single effective capacity, and the stochastic model was solved using the effective capacity. The results indicate that the total delay cost obtained from the proposed model is the same as that from the traditional model, but under the condition of 50 departure flights during 2 h, the computing time is reduced from 109 to 42 s, by 61.5%.