Considering the cost problem of cold chain logistics enterprises in the inventory-distribution operation, this paper aims to save the cost in the inventory-distribution link for enterprises. Taking into account the cost of inventory and distribution of cold chain logistics companies, combining my country's carbon trading policy on carbon emission reduction, and comprerhensively considering the company's carbon emissions costs and other costs, a cost model with the lowest total cost as the goal is established and the sparrow search algorithm for calculation is designed and improved. Through the simulation experiment using MatlabR2018b, the total cost of the warehousing-distribution operation calculated by the mahjong search algorithm is compared with other classic algorithms. In a warehousing and distribution task, the cost can be reduced by 2%~4%, which verifies the validity of the sparrow search algorithm solution in solving the cost model in this paper. This research provides a new solution for the inventory-distribution optimization problem of cold chain logistics enterprises, which has strong operability and practical significance.