<p>This study presents a comprehensive analysis of the reliability and cost structure of a complex repairable system composed of various configurations, including series, parallel, and <i>k</i>-out-of-<i>n</i> subsystems. The model accounts for both catastrophic failures and common cause failures (CCFs), recognizing their significant influence on the operational dependability of real-world engineering systems. To evaluate the system’s performance, an integrated analytical framework is developed, employing Markov modelling, Laplace transforms, and the supplementary variable technique (SVT). This multifaceted approach enables the derivation of critical reliability metrics such as system reliability, availability, mean time to failure (MTTF), expected busy period, and overall cost assessment. Furthermore, the analysis explores how key parameters such as failure rates, repair rates, and subsystem configurations affect the system’s reliability and cost-efficiency. These insights are substantiated through detailed numerical evaluations and illustrative graphical outputs, providing valuable guidance for design and maintenance optimization.</p>

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A unified framework for cost-effectiveness and reliability assessment in k-out-of-n systems

  • Labhanshi Vashishtha,
  • Nupur Goyal,
  • Mangey Ram

摘要

This study presents a comprehensive analysis of the reliability and cost structure of a complex repairable system composed of various configurations, including series, parallel, and k-out-of-n subsystems. The model accounts for both catastrophic failures and common cause failures (CCFs), recognizing their significant influence on the operational dependability of real-world engineering systems. To evaluate the system’s performance, an integrated analytical framework is developed, employing Markov modelling, Laplace transforms, and the supplementary variable technique (SVT). This multifaceted approach enables the derivation of critical reliability metrics such as system reliability, availability, mean time to failure (MTTF), expected busy period, and overall cost assessment. Furthermore, the analysis explores how key parameters such as failure rates, repair rates, and subsystem configurations affect the system’s reliability and cost-efficiency. These insights are substantiated through detailed numerical evaluations and illustrative graphical outputs, providing valuable guidance for design and maintenance optimization.