Some results on successive failure times of a system with minimal instantaneous repairs

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	Some results on successive failure times of a system with minimal instantaneous repairs
	Yue, DQ ; Cao, JH
	2001-11-01
发表期刊	OPERATIONS RESEARCH LETTERS
ISSN	0167-6377
卷号	29 期号:4 页码:193-197
摘要	This paper considers a system with minimal instantaneous repairs which is almost equivalent to a nonhomogeneous Poisson process (NHPP). We focus on aging and stochastic comparison properties of the failure times of the system (or the occurrence time of NHPP). Gupta and Kirmani (Probab. Eng. Inform. Sci. 2 (1988) 475) have obtained IFR, IFRA and NBU properties for the occurrence time of NHPP. We further obtain IFR, DFR and log convex properties for the failure times of the system by using a method different from theirs. Our result for IFR case is more general than the corresponding result of Gupta and Kirmani. In addition, we obtain some stochastic comparison properties and inequalities concerning the expectation and the variance of the failure times. (C) 2001 Elsevier Science B.V. All rights reserved.
关键词	IFR DFR IMRL DMRL NHPP occurrence time minimal repair
语种	英语
WOS研究方向	Operations Research & Management Science
WOS类目	Operations Research & Management Science
WOS记录号	WOS:000173268100007
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16819
专题	中国科学院数学与系统科学研究院
通讯作者	Yue, DQ
作者单位	1.Yanshan Univ, Dept Math, Qinhuangdao 066004, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yue, DQ,Cao, JH. Some results on successive failure times of a system with minimal instantaneous repairs[J]. OPERATIONS RESEARCH LETTERS,2001,29(4):193-197.
APA	Yue, DQ,&Cao, JH.(2001).Some results on successive failure times of a system with minimal instantaneous repairs.OPERATIONS RESEARCH LETTERS,29(4),193-197.
MLA	Yue, DQ,et al."Some results on successive failure times of a system with minimal instantaneous repairs".OPERATIONS RESEARCH LETTERS 29.4(2001):193-197.