存在检验错误并允许缺货的含缺陷产品EOQ模型  

EOQ Model for Imperfect Items with Shortage Permitted and Inspection Errors

作　　者：沙翠翠[1,2] 周永务[3] 

机构地区：[1]合肥工业大学,合肥230009 [2]蚌埠学院,蚌埠233000 [3]华南理工大学,广州510640

出　　处：《重庆科技学院学报（自然科学版）》2010年第4期191-194,共4页Journal of Chongqing University of Science and Technology：Natural Sciences Edition

基　　金：高等学校博士学科点专项科研基金项目(20060359007)

摘　　要：研究了有一定缺陷率的产品允许短缺的库存决策问题。通过假定缺货量全部拖后,考虑产品缺陷率和检验错误率都服从一定的分布,并以最大期望利润为目标建立了相应的库存决策模型,利用简单的二次函数性质和算术几何平均不等式给出了模型的求解过程,得出最优解的表达式。最后给出了应用实例,并分析了参数变化对最优解的影响。The paper studies an inventory decision-making problem for items with a certain percentage of defectives and shortages permitted.By assuming that shortage is completely backordered and considering that defective rate and inspection errors obey a certain distribution,we develop the decision-making model of inventory with the objective of the maximum expected profit.Furthermore,we give the solution process and derive the expression of the optimal solutions,using the simple property of quadratic function and the arithmetic geometric mean inequality.Finally,numerical example is presented and the effects of parameters on the optimal solutions are analyzed.

关 键 词：随机缺陷率 检验错误率 缺货完全拖后 EOQ 

分 类 号：O227[理学—运筹学与控制论]