Relational Decision-Making Method for Optimization of Urban Public Transport Network Based on Cumulative Prospect Theory

To optimize the urban public transport network, the paper systematically researches the multifactor analysis and thought about the urban public transport, proposes six binding indexes together with their threshold on the purpose of minimizing the general cost and maximizing the service, and also establishes the quantitative objective functions for the optimization of transport network on the basis of 5 indexes such as total travel time of passengers according to spatial dimension, time dimension and value dimension for the first time. Secondly, the paper considers the impact on the multi-index decision, establishes the standard index decision-making matrix and positive-negative ideal solution decision-making matrix, and researches the analyzing model for transport network optimization which takes the objective functions as set of indexes and alternatives as set of domain by quantitative analysis according to the TOPSIS. According to the cumulative prospect theory and gray relational analysis, the prospect value function is defined, an optimization model is built, the optimum weight vector is solved, and the order of the program is determined. Finally, the example shows that this method can adjust the public transport network better, and the result was much more reasonable and practical.