With the rapid development of economy, the demand for high quality and immediate logistics services becomes more and more large. If companies can get more output with less input, there is no doubt that they will enhance their competitiveness. The aim of this paper is to improve logistics operation efficiency and reduce costs by optimizing the equipment layout of logistics distribution center. Aiming at the problem of distribution center sorting equipment layout, a multi-objective nonlinear programming model including several complicated factors, such as sorting route, sorting process and device reset is constructed innovatively. Unlike previous layout model, the model is based on minimize the cost of order handling and maintenance, restart, operating of sorting equipment by using the fuzzy number to represent the uncertain order demand and equipment sorting capacity in different periods. In addition, high satisfaction membership function of fuzzy objective function be used to realize the transformation of the layout model of the original sorting equipment to the maximization problem and the improved scatter search algorithm be used to solve the maximization problem to get the optimal layout scheme. The effectiveness of the model and algorithm is proved by the comparison of results and running time of simulated annealing algorithm and scatter search algorithm.
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