摘要
利用作者于文[1,2]引入的随机弹性理论,研究了整批间隔进货并不允许缺货的随机存储模型中,一个采购周期内的总费用对最高存储量的弹性.给出了总费用弹性概率密度函数的一般表达式.进一步给出了存在多种需求物资的随机存储模型中总费用对单个物资采购量的弹性分布函数和概率密度函数,讨论了随着采购量的随机变化,总费用的弹性变化规律和变化范围.通过实例研究了当最高库存量的分布特性已知且采购量服从某一分布时,总费用的弹性变化范围及在该变化范围的可信度.
Based on the theory of stochastic elasticity introduced in[1,2], the elasticity of total cost in a purchase period related to the maximum storage quantity is studied, in the stochastic storage model of interval stock with goods in whole batch stock in which goods out of stock not permitted. The general expression of probability density function of the total cost elasticity is obtained. The elasticity distribution function and the probability density function of the total cost related to the purchase quantity of the single material in stochastic storage model in which multiple demanded material exist are further given. The elasticity change rules and the range of the total cost with random change of the purchase quantity of the material are discussed. The examples are also given to show the elasticity change range of the total cost and the reliable degree of this range when the distribution characteristics of the maximum storage quantity is known and the storage quantity obeys a certain distribution.
出处
《运筹学学报》
CSCD
北大核心
2004年第2期55-60,共6页
Operations Research Transactions
关键词
运筹学
随机弹性
概率密度
存储模型
OR, Stochastic elasticity
probability density
storage model
