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The concept of reliability has gained widespread use in various fields, including manufacturing. This paper examines a system consisting of five components, including a bridge network component. The components are assumed to be identical and have a varying failure rate over time, with a unit half-logistic geometric distribution. The study focuses on analyzing properties such as the mean time to failure (MTTF), α-fractiles, and reliability equivalence factor (REF). To improve the bridge system, the reduction and duplication methods are implemented. Numerical results are provided to demonstrate the effectiveness of these methods.