Performance assessment of a natural gas station using weighted exponential Lindley distribution

This paper focuses on the study of various reliability measures of a natural gas station comprising of three filtration systems (F), two heating systems (H), three pressure reduction systems (P) and one deodorizing system as a series parallel system comprising four subsystems. Subsystem-1 consists of three filtration systems operating under 2-out-of-3: G policy, susbsystem-2 is comprised of two heating systems operating under 1-out-of-2: G policy, subsystem-3 is composed of three pressure reduction systems operating under 1-out-of-3: G policy and subsystem-4 having one deodorizing system working under 1-out-of-1: G policy. The whole system may fail, if one of the subsystems-1, 2, 3 and 4 fails or switch stops working or due to sudden or unexpected break down on the name of catastrophic failure. The system is analysed by supplementary variable technique, Laplace transformation and a newly proposed lifetime distribution termed as weighted exponential Lindley distribution and evaluated various reliability measures such as availability, reliability, mean time to failure, and cost analysis. Numerical illustration to highlight the relevant findings have been appended in the end. Numerical calculation specifies that availability and reliability of the system diminishes with respect to time when failure rates are set at various values.