Stochastic Analysis of Repairable System Comprised Two Subsystems With k-out-of-n: G Operational Policy and Copula Repair Approach

Abstract

The finest performable systems are needed everywhere. The present paper deals with system performance assessment consisting of two subsystems in a series arrangement. The first subsystem follows the k-out-of-n: G work policy, and the second subsystem consists of three units and operates under the 2-out-of-4: G scheme. The failure rates are considered constants and obey negative exponential distribution. Two types of repair, general repair, and copula, are employed for repairing the models partial failure and complete breakdown states. Supplementary variable and Laplace transformation methods were used to study the traditional reliability measures for different values of system parameters.
The probabilistic estimates, like system availability and reliability analysis, MTTF, and profit analysis, have been computed with Maple software.

Keywords: System Availability; MTTF; System Reliability; Cost Analysis; Gumbel-Hougaard family copula.