通货膨胀环境下需求依赖库存的经济订货批量模型  

Economic order quantity models with stock-dependent demand under inflation environment

作　　者：闵杰[1] 欧剑[1] 周永务[2] 

机构地区：[1]安徽建筑工业学院数理系,安徽合肥230601 [2]华南理工大学工商管理学院,广东广州510640

出　　处：《计算机集成制造系统》2010年第2期299-309,共11页Computer Integrated Manufacturing Systems

基　　金：国家自然科学基金资助项目(70771034;70971041);全国博士学位论文作者专项基金资助项目(200565);高等学校博士学科点专项科研基金资助项目(20060359007);安徽省高校省级自然科学研究重点资助项目(KJ2010A152)~~

摘　　要：为考虑通货膨胀和货币时间价值对库存的影响,研究了通货膨胀的条件下需求受库存水平影响且允许短缺发生的经济订货批量问题,其中通货膨胀率由内部通货膨胀率与外部通货膨胀率两部分组成。以系统成本最小化为目标,建立了四个不同补货策略下的仿真模型,并提供了寻求模型整体最优解的简单方法。最后,通过实例对这四个模型进行了比较,同时分析了参数变化对模型最优解的影响。The Economic Order Quantity （EOQ） problems with stock-dependent demand and shortage under the inflation environment were studied to consider influences of inflation and time value of the money on inventory. The inflation rate was composed of the external inflation rate and the internal inflation rate. Four simulation models with various inventory replenishment policies based on minimization of total relevant costs were established,and the simplest methods for finding the optimal solutions to the models were presented. Finally,four models were compared by examples,and influences of parameter changes to optimal solutions were also analyzed.

关 键 词：需求 库存控制 短缺 通货膨胀 货币时间价值 经济订货批量 模型 

分 类 号：O227[理学—运筹学与控制论]