Study on Student Ticket Distribution Model and its Particle Swarm Optimization Algorithm

Through analyzing the characteristics of student tickets reservation, and under the condition of controlling the student tickets reservation information, a mathematic model of student ticket distribution model (STDM) is established. Particle swarm optimization (PSO) is established to solve STDM. In PSO, particle position matrix is set up, matrix's every column corresponds to a student, and matrix has two rows, the first row corresponds to train, and its elements are random train number that student will like to choose, second row correspond to date, and its elements are random date that student will like to choose. When students have the same train number and date pair, we can get train's students loads in one date. Through calculation example, this paper expounds the actual effect of the model.