In view of that problem that the airport baggage sorting technology is still at the initial stage in China, the sorting proces of the baggage sorting AMR system is analyzed based on the queue theory of operational research, and a set of simplified and feasible M/G/s models is established. By referring to the M/G/s approximate diffusion algorithm model at home and abroad, the key parameters such as queuing machine and charging and discharging efficiency are added, and the approximate solution algorithm model is established according to the special needs of the airport baggage system, and the AMR configuration number of the baggage sorting AMR system is calculated and predicted. The results show that the calculation results of the model method are basically consistent with the Flexsim simulation results, and it can be used as a quantitative evaluation method in the planning and design process of the baggage sorting AMR system, which has a guiding significance for the planning and design of the baggage sorting AMR system.