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Reliability measures of repairable k -out-of- n system using weighted exponential-Lindley distribution

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  • Sunita Sharma
  • Vinod Kumar
  • S.B. Singh

Abstract

This study focuses on the analysis of a k-out-of-n: F repairable system employing a novel lifetime distribution termed the weighted exponential-Lindley distribution (WXLD). The system under investigation assumes constant failure rates, while repair times follow the newly proposed WXLD. The repair process involves two personnel: a trainee for minor repairs and an expert for major repairs. Leveraging the supplementary variable technique and Laplace transformation, we derive key reliability measures for the system, including reliability, availability, expected profit, and sensitivity. To exemplify and validate the generalised results, the research employs a communication system as a practical application.

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  • Sunita Sharma & Vinod Kumar & S.B. Singh, 2025. "Reliability measures of repairable k -out-of- n system using weighted exponential-Lindley distribution," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 32(2), pages 179-198.
    • Handle: RePEc:ids:ijmore:v:32:y:2025:i:2:p:179-198
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