Maximizing customer satisfaction is directly related to the enterprise profit and market competitiveness for the supermarket as a service enterprise, so it is important to optimize the retail checkout operation. Firstly, the retail checkout scheduling problem was described by a triplet of α/β/γ, maximizing customer satisfaction was taken as the first goal and minimizing operating cost was taken as the second goal with machine usage restriction and the rule of First In First Out (FIFO). The corresponding mathematical model was established, and then an algorithm was designed using plant growth simulation algorithm. 〖BP(〗Finally, the actual data was used to simulate, and the results prove that the study has effectiveness and feasibility. 〖BP)〗Finally, a numerical simulation of actual cases was used to verify the effectiveness and feasibility of the method.