The content introduces a queueing model for battery swapping and charging stations (BSCS) for electric vehicles (EVs). It combines stochastic dynamic systems with tropical algebra to analyze the mean operation cycle time of the station. The dynamics are described by recurrence equations involving random variables representing interarrival times. The system is represented in vector form as an implicit linear state dynamic equation, allowing the evaluation of the Lyapunov exponent. By applying tropical algebra, an exact formula for the mean cycle time is derived, independent of underlying probability distributions.
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by N. Krivulin,... at arxiv.org 03-22-2024
https://arxiv.org/pdf/2401.09201.pdfDeeper Inquiries