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The location of logistics distribution center contains various types of grey information, which can help improve usefulness of the logistics location. In this paper, grey demand and grey production capacity in logistics chain have been discussed, and a optimization model of location with grey demand and grey production capacity is proposed. The model is NP-hard, then a hybrid particle swarm optimization based on grey chance-constrained programming is proposed for it. The example results show that the model and the algorithm can solve the problem of location of logistics distribution center with grey demand and grey production capacity.