Optimum sequential preventive maintenance first or last policies with imperfect maintenance for a system subject to shocks

Yen-Luan Chen and Chin-Chih Chang

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 1, 162-178

Abstract: This paper proposes and analyses the generalized sequential preventive maintenance policies for an operating system that works at random processing times and subject to shocks. The shocks arrive according to a non homogeneous Poisson process (NHPP) with varied intensity function in each maintenance interval. As a shock occurs, the system suffers two types of failures with number-dependent probabilities: type-I (minor) failure, which is rectified by a minimal repair, and type-II (catastrophic) failure, which is removed by a corrective maintenance. The imperfect maintenance is carried out to improve the system failure characteristic due to the altered shock process. The preventive maintenance-first and preventive maintenance-last policies are defined as that the system is maintained before any type-II failure occurs at a planned time Ti or at the completion of a working time in the i-th maintenance interval, whichever occurs first and last, respectively. At the N-th maintenance, the system is replaced rather than maintained. This paper aim is to minimize the mean cost rate as a measure of policy by determining optimal sequential maintenance parameters for each preventive maintenance policy. All discussions are presented analytically and determined numerically in terms of its existence and uniqueness.

Date: 2022
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DOI: 10.1080/03610926.2020.1746807

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