A geometric process repair model for a repairable cold standby system with priority in use and repair

Zhang, Yuan Lin; Wang, Guan Jun

doi:10.1016/j.ress.2009.05.009

Cited by 46 publications

(22 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Wu and Wu [8] developed stochastic model for standby systems using concept of preventive maintenance after maximum operation time. Zhang and Wang [9] carried out availability analysis of cold standby system with constant failure rate. Some researchers, Osaki and Asakura [7], Gupta et al [5] and Kumar and Saini [6] suggested some reliability models for cold standby redundant systems and single-unit systems in which all random variables are arbitrary distributed like Weibull distribution.…”

Section: Introductionmentioning

confidence: 99%

Performance Analysis of a Non-identical Unit System with Priority and Weibull Repair and Failure Laws

Devi¹,

Kumar²,

Saini³

2017

IJCA

View full text Add to dashboard Cite

The objective of the present paper is to analyze the performance of a two non-identical unit system by considering Weibull distributed random variables. The concept of priority to preventive maintenance of original unit over repair of duplicate unit is also used. A single repairman is available for doing all repair activities. Preventive maintenance of the unit after a pre-specific time to enhance the performance and efficiency of the system conduct by repairman. Recurrence relations for various measures of system effectiveness are derived by using semi-Markov process and regenerative point technique. The system is observed at numerical results for MTSF, steady state availability and profit function has derived for particular case.

show abstract

Section: Introductionmentioning

confidence: 99%

Performance Analysis of a Non-identical Unit System with Priority and Weibull Repair and Failure Laws

Devi¹,

Kumar²,

Saini³

2017

IJCA

View full text Add to dashboard Cite

show abstract

“…Zhang and Wang [1] discussed a deteriorating cold standby repairable system with priority in use, some important reliability indexes of the system were obtained by using a geometric process and the supplementary variable technique. Zhang and Wang [2] further investigated a geometric process repair model for a repairable cold standby system with priority in use and repair, the optimal replacement policy for the system was derived analytically or numerically. Other papers related to the component priority of cold standby repairable systems are references [3,4], among others.…”

Section: Introductionmentioning

confidence: 99%

A cold standby repairable system with working vacations and vacation interruption following Markovian arrival process

Liu

Cui

Wen

et al. 2015

Reliability Engineering & System Safety

View full text Add to dashboard Cite

“…Now, system designers and researchers face a great challenge to develop such systems which operate continually and increase their performance, reliability and safety. Many researchers such as Moghaddass et al (2011), Zhang and Wang (2009) and Wu and Wu (2011) analysed reliability of repairable systems under different assumptions. Goel and Sharma (1989), Cao and Wu (1989), Chandrasekhar et al (2004), Gopalan and Nagarwall (1985), Gopalan and Bhanu (1995), Chander (2005), Mahmoud and Moshref (2010), and discussed several stochastic model under common assumptions that after a maximum operation time unit undergoes for preventive maintenance either standby unit available or not.…”

Section: Introductionmentioning

confidence: 99%

Stochastic behavior of a cold standby system with maximum repair time

Kumar¹,

Baweja²,

Barak³

2015

10.5267/j.dsl

View full text Add to dashboard Cite

The main aim of the present paper is to analyze the stochastic behavior of a cold standby system with concept of preventive maintenance, priority and maximum repair time. For this purpose, a stochastic model is developed in which initially one unit is operative and other is kept as cold standby. There is a single server who visits the system immediately as and when required. The server takes the unit under preventive maintenance after a maximum operation time at normal mode if one standby unit is available for operation. If the repair of the failed unit is not possible up to a maximum repair time, failed unit is replaced by new one. The failure time, maximum operation time and maximum repair time distributions of the unit are considered as exponentially distributed while repair and maintenance time distributions are considered as arbitrary. All random variables are statistically independent and repairs are perfect. Various measures of system effectiveness are obtained by using the technique of semi-Markov process and RPT. To highlight the importance of the study numerical results are also obtained for MTSF, availability and profit function.Growing Science Ltd. All rights reserved. 5

show abstract

A geometric process repair model for a repairable cold standby system with priority in use and repair

Cited by 46 publications

References 23 publications

Performance Analysis of a Non-identical Unit System with Priority and Weibull Repair and Failure Laws

Performance Analysis of a Non-identical Unit System with Priority and Weibull Repair and Failure Laws

A cold standby repairable system with working vacations and vacation interruption following Markovian arrival process

Stochastic behavior of a cold standby system with maximum repair time

Contact Info

Product

Resources

About