Along with the times, the transportation sector has progressed quite rapidly. In connection with the transportation sector, a phenomenon that is easily found in everyday life is the queue at public transportation facilities. One of them is at the transportation facility at the airport. At the airport the queue that occurs is due to the large number of aircraft that come to get service from airport service facilities. However, the queue can be minimized with a good system. The purpose of this research is to find out changes or additional information from aircraft services, get a queue system model, and find out whether the service at the airport is good or not. The Bayesian method is used to combine prior information from previous research data (Widiawati, 2010) and current observed data (samples) to obtain updated information. The sample distribution (Weibull and inverse Gaussian) of the current observed data and the prior distribution (inverse Gaussian and Weibull) obtained from the prior information in the previous research data (Widiawati, 2010). The prior distribution and the likelihood function of the sample distribution are combined to obtain the posterior distribution. After calculating the posterior distribution, it is found that the model of the aircraft queue at Adi Soemarmo International Airport - Surakarta is (GAMMA/GAMMA/3): (GD/∞/∞) with steady state conditions already met (ρ<1) and based on the results of the performance measure of the aircraft queue system at Adi Soemarmo International Airport has a good condition.
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