RELIABILITY AND AVAILABILITY ANALYSIS OF DEPENDENT COMPONENTS SYSTEMS
By
Raju Singh Gaur Department of Mathematics, D.A-V. College, Kanpur, Uttar Pradesh, India-208001
Email: bhuwan.rashi@gmail.com
(Received: August 01, 2025; Revised: March 12, 2026; Accepted: March 17, 2026)
DOI: https://doi.org/10.58250/jnanabha.2026.561P-5
Abstract
In this study we will discuss the method of availability and reliability of repairable apparatus with s-dependent failures among components. The foundation of system reliability is the dependability of its parts or components. Additionally dependent on component interaction, or s-dependence, is system reliability. There are s-dependent and s-independent in the system. As a result, numerous researchers have examined the accessibility and reliability of the s-dependencies among components; the failure and repair rates were regarded as constants. When we study time-related system reliability with varying failure and rates of repair, the s-dependencies among components are not considered. However, the system reliability and availability, which involve the s-dependent failures and failures varying with time and repair rates, are best suited for simulating actual systems. This paper tells us about one type of system that resists environmental shocks and the solutions of system availability and reliability with time-varying failure and repair rates. Solutions for mechanical system availability and reliability are exemplified by a particular type of special vehicle.
2020 Mathematical Sciences Classification: 68M15, 90B25.
Keywords and Phrases: System reliability, Availability, Failure rates, Repair rates.