Optimization model and algorithm for multimodal railway-passenger transportation fares based on demand elasticity
To improve the competitiveness of the railway-passenger transportation market and increase its operational revenue,this study investigates the multiobjective system optimization issue of multimodal railway-passenger transportation fares.A mathematical model was used to describe the equilibrium relationship among the demands of different railway-passenger transportation products.Sensitivity analysis was performed to provide a calculation method for the demand elasticity of multimodal railway-passenger transportation products,and a market demand function for multimodal railway-passenger transportation was formulated.Considering multiple optimization objectives such as market demand,passenger transportation revenue,and profit of railway-passenger transportation enterprises along with passenger transportation costs,we proposed a multiobjective bi-level planning model for describing the system optimization issue of multimodal railway-passenger transportation fares.Finally,we used real passenger transportation data of the railway line between Beijing and Tianjin to validate the proposed model.The results show that the proposed method can effectively balance multiple objectives such as passenger transportation demand,passenger transportation revenue,and profit,providing reference and support for railway-passenger transportation departments to develop scientifically reasonable fare systems in different market competition stages.
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