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基于NBUE类寿命分布的更换间隔比较
Some Comparisons on Replacement Intervals Based upon NBUE Class Underlying Distributions
【摘要】 在介绍期望序和NBUE类分布的定义后,首先证明了年龄更换策略和成批更换策略的更换间隔依期望序分别大于正常更新过程的更换间隔的充要条件是基分布属于NBUE类.随后,还考察了参数不同的年龄更换策略之间和成批更换策略之间的更换间隔.
【Abstract】 After some basic definitions being introduced,the replacement intervals under the age replacement policy and under the block replacement policy were proved to be larger respectively,in the sense of expectation order,than that of ordinary renewal process if and only if the underlying distribution belongs to NBUE class.The stochastic comparisons of the replacement intervals between the age replacement policies and between the block replacement policies with different parameters were made as well in this paper.
【关键词】 期望序;
NBUE;
年龄更换策略;
成批更换策略;
正常更新过程;
更换间隔;
【Key words】 expectation order; NBUE; age replacement policy; block replacement policy; ordinary renewal process; replacement interval;
【Key words】 expectation order; NBUE; age replacement policy; block replacement policy; ordinary renewal process; replacement interval;
【基金】 国家自然科学基金(61272024);安徽高校省级自然科学研究项目(KJ2013B297);安徽省省级质量工程项目(2012zy007)
- 【文献出处】 大学数学 ,College Mathematics , 编辑部邮箱 ,2015年01期
- 【分类号】O213.2
- 【被引频次】1
- 【下载频次】38