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在最终顾客需求率依赖于市场价格的环境中,供应商给予零售商一次性价格折扣机会,并同时允许延时还款,分析了零售商的订货量、促销时间长度与促销价格决策问题。建立了该问题的数学模型以最大化零售商在促销期内的利润增加值,证明了每个分段内目标函数的性质,并设计求解步骤对于该问题进行求解。结合现实中的需要,进一步考虑了三种特例(策略)情况下,零售商的决策问题。通过数值算例分析,验证了模型和算法的有效性,并比较了不同情况下,零售商将批发价格折扣量传递给最终顾客的比例。
In the environment where the final customer demand rate depends on the market price, the supplier gives the retailer a one-time price discount opportunity and at the same time allows the repayment delay. It analyzes the retailer’s order quantity, the length of the promotion period and the promotion price decision-making. The mathematical model of the problem is established to maximize the retailer ’s profit added value during the promotion period. The objective function in each segment is proved to be good and the solution step is designed to solve the problem. Combined with the actual needs, we further consider retailers’ decision-making problems under three special cases (strategies). Through the numerical example analysis, the validity of the model and the algorithm is verified, and the ratio of retailers to the discount of the wholesale price to the final customer is compared under different conditions.