It is important for the retailer to reduce the operating cost and to keep the freshness of the product in the supply chain with perishable products under the fierce market competition. By means of placing their ordering simultaneously, the firms can reduce their cost and strengthen negotiation abilities to their supplier, hence it has received tremendous attention from enterprises and scholars. This paper studies the joint replenishment problem and cost allocation problem for multi-retailers when they form a purchasing alliance in the EPQ framework. The cost allocation problem for the ordering setup cost is considered, and formulated as the cost allocation game with perishable products. It is proved that the cost allocation game is submodular, and its core is nonempty, then an allocation rule is defined and proved to be a core allocation. We also discuss the effect of the replenishment rate on the allocation rule. Finally, the efficiency of several proportional rules is studied by simulation.
FENG Hairong, LI Jun, ZENG Yinlian.
STUDY ON COLLABORATIVE PURCHASING AND COST ALLOCATION PROBLEM IN SUPPLY CHAINS WITH PERISHABLE PRODUCTS. Journal of Systems Science and Mathematical Sciences, 2011, 31(11): 1454-1466 https://doi.org/10.12341/jssms11742