Performance Evaluation and Reliability Modeling of Water Production System in Sokoto Metropolis using Gumbel-Hougaard Family Copula

Abstract

The model of a complex repairable system presented in this research has four interconnected series-parallel subsystems (P, Q, R, and V). Two units, P₁ and P₂, make up the P subsystem and the only component in subsystem Q is Q₂. The two halves of Subsystem R are R₁ and R₂. Subsystem D only contains one unit in total. To depict subsystems 1, 2, 3, and 4, pre-filters, a pump, a RO membrane, and a tank for holding pure water are used. Until at least one component of each subsystem is in perfect working order, the system is assumed to be operational. Subsystems P and Q have variable failure and repair rates. As a result, units from subsystems P₁ and R₁ are repaired before those from P₂ and R₂. Additional variable measurements of system dependability, MTTF (Mean Time to Failure), availability, cost analysis, and sensitivity have been used to analyze the system for specific values of the failure and repair rates. The computed results are illustrated in graphs and tables using the Gumbel Hougaard Family Copula analysis in each case.