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J4  2014, Vol. 11 Issue (10): 1507-    DOI:
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Fuzzy Joint Replenishment Model considering Transportation Capacity Constraints and Quantity Discounts Based on Differential Evolution Algorithm
WANG Lin,QU Hui,CHEN Xiaoxi,JIANG Jie
Huazhong University of Science & Technology, Wuhan, China

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Abstract  Considering the uncertainty existing in procurement management, the inventory holding cost and variable ordering cost are treated as fuzzy variables. A fuzzy joint replenishment problem (FJRP) model with transportation capacity constraint and quantity discount is firstly proposed. There is no stable and effective global optimization algorithm to solve this model which is a typical NPhard problem. Then, the fuzzy total cost is defuzzified by the graded mean integration representation and an adaptive hybrid differential evolution algorithm (AHDE) is designed. Further, numerical studies show the effectiveness of the proposed FJRP and the global optimality capability of the proposed AHDE.
Key wordsjoint replenishment      graded mean integration representation      quantity discount      AHDE     
Received: 16 October 2012     
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