Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Reliability Modeling of a Cold Standby System with Different Repair Policies and Imperfect Coverage


Affiliations
1 Department of Mathematics, Manipal University, Jaipur, India
2 Department of Information Technology, Manipal University, Jaipur, India
     

   Subscribe/Renew Journal


This paper investigates a two-unit cold standby system with different repair policies and imperfect coverage. There is a single server remains always with the system to do repair, recovery and replacement of the unit after imperfect coverage. The failure time of the unit is exponentially distributed while the distribution of repair times, replacement time and recovery time of the unit follows arbitrary distribution. The unit works as new after repair and preventive maintenance. All random variables are statistically independent. Switch devices are perfect. By using semi-Markov process and regenerative point technique we analyse various performance measures of system effectiveness. The behaviour of some important measures of system effectiveness has been observed numerically with respect to repair rate by giving particular values to other parameters.

Keywords

Reliability Modeling, Mean Time to System Failure (MTSF), Cold Standby System.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 227

PDF Views: 3




  • Reliability Modeling of a Cold Standby System with Different Repair Policies and Imperfect Coverage

Abstract Views: 227  |  PDF Views: 3

Authors

Ashish Kumar
Department of Mathematics, Manipal University, Jaipur, India
Monika Saini
Department of Mathematics, Manipal University, Jaipur, India
Devesh Kumar Srivastava
Department of Information Technology, Manipal University, Jaipur, India

Abstract


This paper investigates a two-unit cold standby system with different repair policies and imperfect coverage. There is a single server remains always with the system to do repair, recovery and replacement of the unit after imperfect coverage. The failure time of the unit is exponentially distributed while the distribution of repair times, replacement time and recovery time of the unit follows arbitrary distribution. The unit works as new after repair and preventive maintenance. All random variables are statistically independent. Switch devices are perfect. By using semi-Markov process and regenerative point technique we analyse various performance measures of system effectiveness. The behaviour of some important measures of system effectiveness has been observed numerically with respect to repair rate by giving particular values to other parameters.

Keywords


Reliability Modeling, Mean Time to System Failure (MTSF), Cold Standby System.