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Research on the configuration of charging and switching facilities for electric vehicles is an important part of the development of related industries. In this paper, based on the analysis of charging behaviour of electric vehicles, the mathematical model is established by using queuing theory, and on this basis, the marginal cost theory of microeconomics is introduced to analyse the number of charging facilities under different utilization rates. The marginal cost model of charging and switching facilities is established with the objective of minimizing the total marginal cost of charging and switching facilities service system, and is verified by an actual example. The results show that through the rational allocation of the number of facilities, the marginal cost under different utilization rates can be optimized, which can provide strong support for decision makers to make operation plans and promote industrial development.

Research on marginal cost model of electric vehicle charging and swapping facilities based on queuing theory