轨道交通票价的制定,既要考虑它的社会效益,也要考虑轨道交通客运部门的利益。利用双层规划模型,可以得到在多种交通方式竞争条件下的城市轨道交通客票价格制定的最优策略,既保证了出行者的广义出行费用最小,又能使轨道交通客运部门在公共交通市场竞争中取得最大的经济效益。 The formulation of rail transit fares should not only consider its social benefits, but also consider the interests of the rail transit passenger transport department. Using the bi-level programming model, we can get the optimal strategy for ticket pricing of urban rail transit under the competitive conditions of multiple modes of transportation, which not only ensures the minimum travel expenses for travelers, but also enables the mass transit passenger transportation sector in the public transport market The greatest economic benefits in the competition.