随机库存模型中最优过程均值选择研究
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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 determined 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 production-inventory model when the demand is a random variable and the quality characteristic obeys 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.
It is very common that the process mean selection and production-inventory decisions are determined 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 production-inventory model when the demand is a random variable and the quality characteristic obeys 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.
引文
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[3]张斌,王海燕,韩之俊.基于截尾正态分布的最优过程均值的确定[J].数理统计与管理,2008,27(1):106-110.
[4]鹿泉育,杨志林.时变需求下变质性物品的随机生产库存模型[J].合肥工业大学学报:自然科学版,2011,34(6):935-940.
[5]Lee M K,Kwon H M,Hong S H,et al.Determination of the optimum target value for a production process with multiple products[J].International Journal of Production Economics,2007,107(1):173-178.
[6]Chen C H,Khoo M B C.Optimum process mean and manufacturing quantity settings for serial production system under the quality loss and rectifying inspection plan[J].Computers and Industrial Engineering,2009,57(3):1080-1088.
[7]Park T,Kwon H M,Hong S H,et al.The optimum common process mean and screening limits for a production process with multiple products[J].Computers and Industrial Engineering,2011,60(1):158-163.
[8]Darwish M A,Abdulmalek F,Alkhedher M.Optimal selection of process mean for a stochastic inventory model[J].European Journal of Operational Research,2013,226(3):l481-490.
[9]Gong L,Roan J,Tang K.Process mean determination with quantity discounts in raw material cost[J].Decision Sciences,1988,29(1):271-302.
[10]Al-Fawzan M A,Hariga M.An integrated inventory-targeting problem with time dependent process mean[J].Production Planning and Control,2002,13(1):11-16.
[2]Chen C H,Chou C Y.Determining the optimum process mean of a one-sided specification limit[J].International Journal of Advanced Manufacturing Technology,2002,20(6):439-441.
[3]张斌,王海燕,韩之俊.基于截尾正态分布的最优过程均值的确定[J].数理统计与管理,2008,27(1):106-110.
[4]鹿泉育,杨志林.时变需求下变质性物品的随机生产库存模型[J].合肥工业大学学报:自然科学版,2011,34(6):935-940.
[5]Lee M K,Kwon H M,Hong S H,et al.Determination of the optimum target value for a production process with multiple products[J].International Journal of Production Economics,2007,107(1):173-178.
[6]Chen C H,Khoo M B C.Optimum process mean and manufacturing quantity settings for serial production system under the quality loss and rectifying inspection plan[J].Computers and Industrial Engineering,2009,57(3):1080-1088.
[7]Park T,Kwon H M,Hong S H,et al.The optimum common process mean and screening limits for a production process with multiple products[J].Computers and Industrial Engineering,2011,60(1):158-163.
[8]Darwish M A,Abdulmalek F,Alkhedher M.Optimal selection of process mean for a stochastic inventory model[J].European Journal of Operational Research,2013,226(3):l481-490.
[9]Gong L,Roan J,Tang K.Process mean determination with quantity discounts in raw material cost[J].Decision Sciences,1988,29(1):271-302.
[10]Al-Fawzan M A,Hariga M.An integrated inventory-targeting problem with time dependent process mean[J].Production Planning and Control,2002,13(1):11-16.