Abstract
This paper analyzes ak-out-of-n:Grepairable system withN-policy, repairmen’s multiple synchronous vacations, and redundant dependency. When there is no failed component in the system, the repairmen leave for a vacation, the duration of which follows a phase type distribution. Upon returning from vacation, they should take another vacation if there are less thanNfailed components waiting in the system. This pattern continues until at leastNfailed components are waiting. Moreover, the redundant dependency which is a special kind of failure dependency is taken into account in the multicomponent system. Under such assumptions, the availability, the rate of occurrence of failures, and the reliability of the system are derived in transient regime by applying the quasi-birth-and-death process. Furthermore, the Runge-Kutta method is carried out to numerically discuss the time-dependent behavior of the system reliability measures. Finally, a special case of the system is presented to show the validity of our model.
Highlights
In reliability theory, redundancy is a technique widely used to improve system availability and reliability
Applying the quasi-birth-and-death process, several important reliability measures including the availability, the rate of occurrence of failures, and the reliability of the system are obtained in transient regime
A k-out-of-n:G repairable system with N-policy, repairmen’s multiple vacations, and redundant dependency is discussed in this paper
Summary
Redundancy is a technique widely used to improve system availability and reliability. When k-out-of-n:G system is considered for modelling, the exponential distributions of random times involved are usually assumed, for example, Moustafa [3], Krishnamoorthy and Ushakumari [4], Ushakumari and Krishnamoorthy [5], Li et al [6], Tang and Zhang [7], Zhang and Wu [8], Jain and Gupta [9], Kang and Kim [10] They investigated such a redundant system with different assumptions. We here are interested in how the system reliability measures will be influenced by the vacation time and how long the vacation time could be without affecting the repairman’s primary work Another important factor in a multicomponent system is the failure dependency which considers the interactions between the failures of components.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
