Analysis of a redundant system with priority and Weibull distribution for failure and repair

• Main Authors: Ashish Kumar, Monika Saini, Kuntal Devi
• Format: Article
• Language: English
• Published: Taylor & Francis Group 2016-12-01
• Series: Cogent Mathematics
• Subjects: redundant system; non-identical units; Weibull failure and repair laws; priority; preventive maintenance and maximum operation time
• Online Access: http://dx.doi.org/10.1080/23311835.2015.1135721

The main objective of the present study is to analyse a redundant system under the concept of priority and Weibull distribution for all random variables with different scale parameter and common shape parameter. For this purpose, by using semi-Markovian approach and regenerative point technique a reliability model is developed for a two non-identical unit system. A single repair facility is provided to the system to perform all repair activities. After a pre-specified time to enhance the performance and efficiency of the system the unit goes for preventive maintenance (PM). Priority to the repair of original unit is given over the PM of duplicate unit. Numerical results for the mean time of system failure, availability and profit function have been derived for a particular case to highlight the importance of the study.