再制造成本随机分布的生产优化问题研究

研究单一厂商制造/再制造集成系统的两期生产优化问题.首先,在回收率一定的条件下,建立回收产品的再制造成本与再制造率之间的函数关系;然后,建立以追求利润最大化为目标的模型,验证了该模型为凸规划,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及其临界条件;最后,通过算例对该模型的性质和规律作进一步分析.

Monopoly production optimization problem for remanufacturing cost with stochastic distribution

The two-perlod production optimization model is established in a monopoly manufacturing/remanufacturing setting. The function between the remanufacturing cost and the remanufacturing yield is constructed under the condition that the return rate is fixed. The theorem is verified that the model is a convex programming problem, and then K-T conditions are given. Moreover, the character and the critical term of solving are testified on the condition of gamma distribution. Finally, a numerical computation is given to illustrate the properties and rules of the model.