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Because mobile edge computing networks are deployed at the edge, the bandwidth resource optimization strategy is prone to high computing load in the case of multi-user concurrency, reducing the effect of bandwidth resource optimization. In order to solve this problem, a mobile edge computing network bandwidth resource optimization strategy based on Firefly algorithm is proposed. In the case of continuous data transmission between servers, determine the distribution of users in the network, calculate the energy consumed by the network operation, use the Firefly algorithm to establish a mathematical model centered on bandwidth resources, and solve the mathematical model based on various parameters of the mobile edge computing network. After the optimal solution is obtained, deploy the optimization strategy with the maximum benefit of users as the goal. The experimental results show that the proposed bandwidth resource optimization strategy based on the Firefly algorithm has low computing delay, high efficiency of network bandwidth resource optimization, and the overall computing performance has been significantly improved.