| 随机局部弹性与分批连续进货的随机存储模型 |
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| 引用本文： | 王宪杰,卢俊香.随机局部弹性与分批连续进货的随机存储模型[J].工程数学学报,2008,25(1):143-148. |
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| 作者姓名： | 王宪杰 卢俊香 |
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| 作者单位： | 1. 烟台大学数学与信息科学学院,烟台,264005
2. 西安交通大学理学院,西安,710049 |
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| 基金项目： | Supported by the national natural science foundation of China (60574005)，Shandong province soft science research project (B2006069) |
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| 摘 要： | 利用随机局部弹性的概念及运算法则,研究了分批连续进货并允许缺货的存储模型中,总费用对随机最高存储量与随机采购周期的局部弹性,给出了总费用弹性的联合概率密度的一般表达式,通过实例证明了当最高存储量与采购周期的分布特性已知时,总费用的弹性分布和弹性变化范围及弹性在该变化范围的可信度。
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| 关 键 词： | 随机变量 随机局部弹性 概率密度 存储模型 |
| 文章编号： | 1005-3085(2008)01-0143-06 |
| 修稿时间： | 2005年12月29 |
Stochastic Partial Elasticity and Random Storage Model with Continuous Purchase in Batches |
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| WANG Xian-jie,LU Jun-xiang.Stochastic Partial Elasticity and Random Storage Model with Continuous Purchase in Batches[J].Chinese Journal of Engineering Mathematics,2008,25(1):143-148. |
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| Authors: | WANG Xian-jie LU Jun-xiang |
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| Abstract: | In the storage model with continuous purchase in batches and being out of stock permitted, partial elasticity of total cost along the maximum storage quantity and purchase period are discussed by using its stochastic partial elasticity and operation law. The general expression of joint probability density function of total cost is obtained. An example is also given to show that elasticity distribution range is completely determined, if the distribution characteristics of the maximum storage quantity and purchase period are known. |
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| Keywords: | random variable stochastic partial elasticity probability density storage model |
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