研究了多周期离散时间下,拥有若干个目标市场的制造商如何对变质性产品协调地进行定价决策和生产决策,使得利润最大化。需求是价格的线性函数,建立了二次规划模型。提出了基于动态规划的精确算法,分析了算法的时间复杂度,可以在多项式时间内求解出最优生产计划和各个周期各子市场的最优定价。实验结果揭示了需求函数系数的变化对利润、各周期各子市场需求(或价格)的影响。
This paper addresses coordination of pricing and lot sizing problem with life perishability in order to maximize the form's profit in the case of market segmentation. Some properties of the optimal solution are characterized. A dynamic programming-based algorithm is presented, by which the optimal pricing strategy and the optimal production strategy are solved in polynomial time. Our results show the interesting relations between the coefficients of sub-market's price functions and sub-market's demands (or prices).