Reliability Engineering & System Safety | 2021
Age replacement with Markovian opportunity process
Abstract
Abstract This paper focuses on the age replacement problems under the assumption that the arrival of opportunities follows a stochastic point process. The opportunity is a chance to make the replacement, and one can replace a unit with a low cost at the opportunity. In this paper, the opportunity-based age replacement models by Dekker and Dijkstra (1992) and Zhao and Nakagawa (2012) are extended in the environment where the opportunity process is in accordance with a Markovian arrival process (MAP). The MAP is one of the general point processes, and involves a Poisson process and some renewal process classes. This work introduces the generalization of the arrival process of the preventive replacement problems with opportunities. Furthermore, a comprehensive evaluation of the opportunity-based age replacement policies by Dekker and Dijkstra (1992) and Zhao and Nakagawa (2012) in the generalized modeling framework is carried out.