Optimal Maintenance Strategy of a System Which Deteriorates in Accordance With a Gamma Process Over a Bounded Time Horizon

Suyono

doi:10.47013/18.2.3

← Back to search

Optimal Maintenance Strategy of a System Which Deteriorates in Accordance With a Gamma Process Over a Bounded Time Horizon

Closed

Suyono

2025 Jordan Journal of Mathematics and Statistics Vol. 18 Issue 2 Article Cited by 0 SDG 7

Abstract

This article discusses the mean and variance of discounted total maintenance cost of a system intended to operate during the finite time interval [0,t]. We implement the age replacement strategy under the assumption that the system deteriorates in accordance with a stochastic gamma process. Laplace transforms for the mean and second moment of the total maintenance cost are obtained. We apply the result to obtain an optimal period for preventive maintenance which minimizes the mean of the discounted total maintenance cost in the time interval [0,t]. Standard deviation for the optimal period for preventive maintenance is also calculated. © 2025 YU

Affiliations

Department of Mathematics, Universitas Negeri, Jakarta, Indonesia

View full text (DOI) →

Research at a Glance

Research at a Glance

Topics & SDG Alignment

Collaboration

Author Profile (Selected)

References Overview

Journal & Source

Metadata & Integrity