To reveal the effects of different tail-number restriction schemes during implementation,and to obtain a satisfactory scheme for both the government and car owners,a method for tail-number restriction scheme formulation based on utility functions and game theory models was studied.Firstly,utility functions for the government and car owners were defined separately,considering the dynamic game process.Then,a non-cooperative dynamic Stackelberg game model for car tail-number restriction schemes was constructed.Finally,a genetic algorithm with a population diversity control strategy was designed,and the model was coded and solved using python.Taking Lanzhou city as an example to verify the model,the research showed that under the optimized tail-number restriction scheme,the average travel cost for car owners remained almost the same,while the average social utility value for the government increased by 1.062×107.Therefore,the tail-number restriction scheme formulated based on the theoretical model not only has sufficient theoretical basis but also can better exert the effectiveness of the restriction scheme.
维普
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