<p>Weibull distribution is widely used in reliability and failure analysis. Many studies have been conducted for estimating the parameters of Weibull distribution. Maximum likelihood is one of the methods used in estimation of unknown parameters. The present study focuses on using Jaya algorithm for estimating the three parameters of Weibull distribution via maximum likelihood methodology. Monte Carlo simulation has been carried out to show the validity of the proposed approach. The results are compared with other methods of optimization like simulated annealing, differential evolution, hybrid neighborhood simulated annealing and particle swarm optimization. It has been found that the proposed methodology of estimation using Jaya algorithm is much accurate and efficient compared to the other methods. Also, the proposed methodology is applied for the real-world data of strength of glass fibres to show its implementation.</p>