Dynamic reliability measures of weighted <i>k</i> -out-of- <i>n</i> system with heterogeneous components and its application to solar power generating system

In the realm of dynamic reliability analysis, this research paper presents a novel mathematical model for the weighted k -out-of- n system with two heterogeneous components also said to be weighted ( k 1 , k 2 )-out-of- n repairable system. This innovative framework comprises two distinct component types, whose simultaneous functioning yields system operation if and only if the cumulative weight of the operational type 1 component is at least k 1 , and that of the type 2 component is at least, k 2 . Each component type has a number of distinct individual components with variable states that change over time, making the state probabilities of those components time-dependent. By employing an algorithm grounded in L z -transform, dynamic reliability measures comprising reliability, availability, mean expected performance, and expected profit are derived for the system taken into consideration. This study also introduces a pioneering connection between the L z -transform and queueing theory and extends its implications to various intricate engineering systems meeting the established criteria.