Estimation the Renewal Function based on Rayleigh distribution Using Firefly Algorithm

Abstract

Renewal process modeling is an important topic in stochastic processes to study deteriorating systems in maintenance problems. Rayleigh distribution is one of the most used reliability distributions. In this paper, a firefly algorithm, which is a metaheuristic continuous algorithm, is proposed to estimate the rate of the occurrence of events by estimating the renewal function. The proposed method will efficiently help to estimate the renewal function of the Rayleigh distribution with high performance. The experimental results show the favorable performance of the proposed method comparing with the maximum likelihood and moment estimation methods.