Title: Implementing a bivariate preventive maintenance strategy for stochastically deteriorating systems with two types of shocks

Authors: Jun Chang; Wenjie Dong; Zhigeng Fang

Addresses: College of Economics and Management, Nanjing University of Aeronautics and Astronautics, No. 29, Jiangjun Avenue, Nanjing 211106, China; School of Economics and Management, Huaiyin Normal University, No. 71, Jiaotong Road, Huaian 223001, China ' College of Economics and Management, Nanjing University of Aeronautics and Astronautics, No. 29, Jiangjun Avenue, Nanjing 211106, China ' College of Economics and Management, Nanjing University of Aeronautics and Astronautics, No. 29, Jiangjun Avenue, Nanjing 211106, China

Abstract: This paper mainly investigates a preventive replacement policy for a system subject to both a deteriorating process and a shock process. Firstly, the stochastic deterioration is modelled with a general degradation path model, and the arrival numbers of external shocks are described with a non-homogeneous Poisson process (NHPP). The two processes are mutually dependent and the shock process itself has two distinct effectiveness including a minor one and a major one. Afterwards, system reliability function is constructed analytically. Finally, a bivariate preventive maintenance policy is put forward. The average maintenance cost rate is formulated and optimised for two special cases, respectively. To demonstrate the effectiveness of the proposed model, a sliding spool in a realistic hydraulic control system is studied. [Submitted: 14 October 2021; Accepted: 2 January 2022]

Keywords: degradation modelling; random shocks; mutual dependence; two types of shocks; preventive maintenance.

DOI: 10.1504/EJIE.2023.129450

European Journal of Industrial Engineering, 2023 Vol.17 No.2, pp.169 - 191

Received: 14 Oct 2021
Accepted: 02 Jan 2022
Published online: 09 Mar 2023 *

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