再制造成本随机分布和市场细分的生产优化模型

本文研究了单一厂商制造/再制造混合系统的两期生产优化问题。首先,在回收率一定条件下,建立了回收产品的再制造成本与再制造率之间的函数关系;接着,引入消费者偏好系数构造了再制造产品和新制造产品之间的价格竞争和市场细分;然后,建立了以追求利润最大化为目标的模型,证明了该模型为凸规划,给出了K-T条件表达式,并分析了伽马分布条件下解的特征;最后,通过算例对本文模型的性质和规律作进一步分析。

Monopoly Production Optimization Model for Remanufacturing Cost with Stochastic Distribution and Market Segmentation

The two-period production optimization model is developed in monopoly manufacturing/remanufacturing environment. The function between the remanufacturing cost and the remanufacturing yield is constructed on the condition of the constant return rate. The customer preference coefficient is incorporated to describe the price cannibalization and market segmentation between new and remanufactured products. The theorem that the model is a convex programming problem is verified and then KT conditions of solving are expressed. Moreover,an example of remanufacturing cost with gamma distribution is given and further the character of solving is testified. A numerical computation is given to illustrate the properties and rules of the model.