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A logistics distribution center location optimization problem is studied in this paper. The problem is assumed to be a three-echelon distribution network, including customers, distribution centers and customers. Different dispatching and transportation modes are adopted for the items being delivered. The objectives are to minimize the total cost and to balance the workload at each distribution center. An elitist preserved genetic algorithm is developed to pursue the optimal solution, in which the chromosomes are well designed to simultaneously represent the selection decision for distribution centers and choice of delivery modes. In addition,adaptive crossover rate and mutation rate are employed to avoid being trapped into local optima. Numerical experiments have been conducted. finally, and the results have demonstrated the effectiveness of the algorithm.