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研究一个面对价格相依随机需求的零售商在有多个潜在供应商条件下的逆向拍卖采购与定价联合决策问题,其中零售商的采购数量和采购价格均须通过逆向拍卖的方式来确定。对于一般需求函数,在一定的条件下证明零售商的收益函数(不包括采购费用)是单峰的,从而得到其最优的采购与定价决策。特别地,对指数需求分布情形给出零售商的采购量和利润函数的解析表达式并进行数值分析。
This paper studies the joint decision-making of reverse auction procurement and pricing in a retailer with price-dependent stochastic demand under multiple potential suppliers. The quantity of the retailer’s purchase and the purchase price must be determined by reverse auction. For the general demand function, under certain conditions, the retailer’s profit function (excluding the purchase cost) is proved to be unimodal, so as to obtain the optimal purchasing and pricing decision. In particular, an analytical expression of the retailer’s purchasing volume and profit function is given for numerical distribution of the index demand.