A Study on Reliability for A Two-Item Cold Standby Markov Repairable System with Neglected Failures

被引：16

作者：

Bao, Xinzhuo ^{[1
]}

Cui, Lirong ^{[1
]}

机构：

[1] Beijing Inst Technol, Sch Management & Econ, Beijing 100081, Peoples R China

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2012年 / 41卷 / 21期

关键词：

Failure effects neglected; Markov repairable system; Two-item cold standby system; AVAILABILITY;

D O I：

10.1080/03610926.2012.700376

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This article studies reliability for a Markov repairable two-item cold standby system with neglected failures. In the system, if a failed time of the system is too short ( less than a given critical value) to cause the system to fail, then the failed time may be omitted from the downtime record, i.e., the failure effect could be neglected. In ion-channel modeling, this situation is called the time interval omission problem. The availability indices and the mean downtime are presented as two measures of reliability for this repairable system. Some numerical examples are shown to illustrate the results obtained in this article.

引用

页码：3988 / 3999

页数：12

共 23 条

[1] SINGLE-CHANNEL AUTO-CORRELATION FUNCTIONS - THE EFFECTS OF TIME INTERVAL OMISSION [J].

BALL, FG ;

SANSOM, MSP .

BIOPHYSICAL JOURNAL, 1988, 53 (05) :819-832

[2]

Bao X., 2011, 7 INT C MATH METH RE, P902

[3]

Bao X., 2006, THESIS SCH MANAGEMEN

[4] An Analysis of Availability for Series Markov Repairable System With Neglected or Delayed Failures [J].

Bao, Xinzhuo ;

Cui, Lirong .

IEEE TRANSACTIONS ON RELIABILITY, 2010, 59 (04) :734-743

[5]

Cao JH., 1986, INTRO RELIABILITY MA

[6] ON THE STOCHASTIC PROPERTIES OF BURSTS OF SINGLE ION CHANNEL OPENINGS AND OF CLUSTERS OF BURSTS [J].

COLQUHOUN, D ;

HAWKES, AG .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES B-BIOLOGICAL SCIENCES, 1982, 300 (1098) :1-59

[7] Markov repairable systems with history dependent up and down states [J].

Cui, Lirong ;

Li, Haijun ;

Li, Jinlin .

STOCHASTIC MODELS, 2007, 23 (04) :665-681

[8]

Cui LR, 2012, IIE TRANS, V44, P1022, DOI [10.1080/0740817X.2012.662309, 10.1080/0740817x.2012.662309]

[9] THE DISTRIBUTIONS OF THE APPARENT OPEN TIMES AND SHUT TIMES IN A SINGLE CHANNEL RECORD WHEN BRIEF EVENTS CANNOT BE DETECTED [J].

HAWKES, AG ;

JALALI, A ;

COLQUHOUN, D .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1990, 332 (1627) :511-538

[10] Modeling the evolution of system reliability performance under alternative environments [J].

Hawkes, Alan G. ;

Cui, Lirong ;

Zheng, Zhihua .

IIE TRANSACTIONS, 2011, 43 (11) :761-772

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