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A new economic order quantity model is developed for multi-item and multi-storehouse with limited funds, limited storage capacity and stochastic demand. The model is proved to be a nonlinear convex programming. For finding the optimal replenishment schedule, we design a new hybrid genetic algorithm that combines self-adapting crossover and stochastic mutation operators. Comparing with the basic genetic algorithm, this improved algorithm adequately utilizes the adaptability information of current individuals, it has better convergence efficiency and higher solution precision. A numerical example is presented to illustrate the validity and efficiency of the new hybrid genetic algorithm.