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International Journal of Mathematical, Engineering and Management Sciences

eISSN: 2455-7749 . Open Access


Estimation of Stress Strength Reliability for Three-Parameter Weibull Distribution Using Jaya Algorithm

Estimation of Stress Strength Reliability for Three-Parameter Weibull Distribution Using Jaya Algorithm

Saurabh Laximan Raikar
Mechanical Engineering Department, Goa College of Engineering, Goa University, Farmagudi, Ponda, 403401, Goa, India.

Rajesh Suresh Prabhu Gaonkar
Mechanical Engineering Department, Goa College of Engineering, Goa University, Farmagudi, Ponda, 403401, Goa, India.

DOI https://doi.org/10.33889/IJMEMS.2025.10.5.058

Received on January 05, 2025
  ;
Accepted on April 01, 2025

Abstract

Jaya algorithm is a highly effective recent metaheuristic technique. In this article, a study is carried out on estimating reliability considering the stress and strength following Weibull distribution with same shape & location parameter but different scale parameter. The novelty of this study lies in using and analyzing the effectiveness of Jaya algorithm in estimation of reliability via maximum likelihood estimation. The simulation studies are carried out with different sample sizes to validate the proposed methodology. The technique is also applied to real life data to show its implementation and the results are compared with the other methods in the literature. The proposed methodology is simple and gives precise results. The inclusion of location parameter in the study significantly impacts the estimated reliability.

Keywords- Reliability, Stress strength interference, Weibull distribution, Maximum likelihood estimation, Jaya algorithm.

Citation

Raikar, S. L. & Gaonkar, R. S. P (2025). Estimation of Stress Strength Reliability for Three-Parameter Weibull Distribution Using Jaya Algorithm. International Journal of Mathematical, Engineering and Management Sciences, 10(5), 1218-1231. https://doi.org/10.33889/IJMEMS.2025.10.5.058.