The problem of the site selection of capacitated facility under uncertain demand was studied. After considering the actual situation of the demand point, the production scale limit of the factory was varied according to the uncertain demand changes at each point. A new capacitated facilities location model with segmented production scale was established. Uncertain demand was predicted using the number of connections and grey number of intervals theory. In order to solve this problem, this article improved the coding, updating, searching and following strategies of the traditional artificial bee colony algorithm. Finally, numerical experiments were performed to compare the new algorithm with genetic algorithm, firefly algorithm, particle swarm optimization and seagull optimization algorithm. The results show that the improved artificial bee colony algorithm has a better optimization effect, and is feasible and effective in solving the location problem of capacity constraints.