随机库存模型中最优过程均值选择研究  

Research on optimal selection of process mean in stochastic inventory model

作　　者：吴燕燕[1] 袁建明[1] 

机构地区：[1]合肥工业大学管理学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2016年第3期415-420,共6页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金重点资助项目(71131002)

摘　　要：通常过程均值的选择和生产-库存控制的决策是分开确定的,但是过程均值的确定会影响不合格品出现的概率,从而影响生产-库存的决策。文章讨论了在需求是随机的且质量特征服从截尾正态分布的情况下最优过程均值和生产-库存模型相应决策变量联合确定的问题。在该模型中,允许缺货发生且缺货量完全延期供给,同时给出了模型的凸性证明和应用实例。通过灵敏度分析,研究了各参数及截尾方式对过程均值和生产-库存决策的影响。It is very common that the process mean selection and production-inventory decisions are de- termined separately. However, the probability of nonconforming production will be affected by the choice of process means. Thus, the process mean influences other important production and inventory decisions. This paper jointly determines the Optimal process mean and the other decision variables in the productionqnventory model when the demand is a random variable and the quality characteristic o- beys the truncated normal distribution. In this model shortages are allowed to occur and backlogged completely. In addition, the convexity of the model is proved and its application example is also shown. The influences of the parameters and the type of truncation on the determination of process mean and production-inventory decisions are examined by conducting a sensitivity analysis.

关 键 词：截尾正态分布 过程均值 需求不确定 库存控制 

分 类 号：Q213.1[生物学—细胞生物学]