Reliability Analysis of Tampered Failure Rate Load-Sharing k-out-of-n:G Systems

Load-sharing systems have several practical applications. In load-sharing systems, the event of a component failure will result in a higher load, therefore inducing a higher failure rate, in each of the surviving components. This introduces failure dependency among the load-sharing components, which in turn increases the complexity in analyzing these systems. In this paper, we provide a closed-form analytical solution for the reliability of tampered failure rate (TFR) load-sharing k-out-of-n:G systems with identical components where all surviving components share the load equally. The closed-form analytical solution provided in this paper allows efficient computations of system reliability characteristics. The solution is applicable for a wide range of failure time distributions of the components. The efficiency of the proposed solution is demonstrated through several numerical examples. I