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

Authors: Sunita Sharma; Vinod Kumar; S.B. Singh

Addresses: Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, India ' Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, India ' Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, India

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.

Keywords: k-out-of-n: F system; weighted exponential-Lindley distribution; WXLD; supplementary variable technique; SVT; reliability; availability; expected profit; sensitivity; Laplace transformation; LT.

DOI: 10.1504/IJMOR.2025.148877

International Journal of Mathematics in Operational Research, 2025 Vol.32 No.2, pp.179 - 198

Received: 06 Oct 2023
Accepted: 25 Dec 2023
Published online: 30 Sep 2025 *

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