{"title":"Standby System with Imperfect Coverage and Repairable Service Station","authors":"Ying-Lin Hsu, ying-cheng Tseng, Chia-Jung Chang, Fu-Min Chang","doi":"10.6186/IJIMS.2016.27.3.6","DOIUrl":null,"url":null,"abstract":"This paper analyzes the reliability characteristics of a system with imperfect coverage in which a repairable service station is considered. Failure times of primary and standby units are assumed to follow exponential distributions. With a coverage probability c , a failed unit is immediately detected and replaced by a standby if one is available. If the failed unit is not detected, the system enters an unsafe failure state and has to be refreshed by a reboot action. When the service station breaks down, it needs repair at a repair device. We present the expression for reliability function R Y ( t ) and mean time to system failure MTTF . Several cases are analyzed to study the effects of various parameters on the system reliability R Y ( t ) and MTTF . We also perform the sensitivity analysis of R Y ( t ) and MTTF with respect to system parameters. Finally, we present an application example to demonstrate the applicability of investigated model.","PeriodicalId":39953,"journal":{"name":"International Journal of Information and Management Sciences","volume":"31 1","pages":"299-316"},"PeriodicalIF":0.0000,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Information and Management Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.6186/IJIMS.2016.27.3.6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
This paper analyzes the reliability characteristics of a system with imperfect coverage in which a repairable service station is considered. Failure times of primary and standby units are assumed to follow exponential distributions. With a coverage probability c , a failed unit is immediately detected and replaced by a standby if one is available. If the failed unit is not detected, the system enters an unsafe failure state and has to be refreshed by a reboot action. When the service station breaks down, it needs repair at a repair device. We present the expression for reliability function R Y ( t ) and mean time to system failure MTTF . Several cases are analyzed to study the effects of various parameters on the system reliability R Y ( t ) and MTTF . We also perform the sensitivity analysis of R Y ( t ) and MTTF with respect to system parameters. Finally, we present an application example to demonstrate the applicability of investigated model.
本文分析了考虑可修服务站的不完全覆盖系统的可靠性特性。假设主备设备的故障时间呈指数分布。在覆盖概率为c的情况下,故障单元被立即检测到,如果有备用单元可用,则替换为备用单元。如果未检测到故障单元,则系统进入不安全的故障状态,必须通过重新启动操作进行刷新。当服务站发生故障时,需要在维修设备上进行维修。给出了可靠性函数ry (t)和平均故障前时间MTTF的表达式。通过实例分析,研究了各参数对系统可靠性R Y (t)和MTTF的影响。我们还进行了ry (t)和MTTF对系统参数的敏感性分析。最后,通过应用实例验证了所研究模型的适用性。
期刊介绍:
- Information Management - Management Sciences - Operation Research - Decision Theory - System Theory - Statistics - Business Administration - Finance - Numerical computations - Statistical simulations - Decision support system - Expert system - Knowledge-based systems - Artificial intelligence