Optimal replacement policy for a cumulative damage model with time deterioration

Authors:
T Satow;K Teramoto;T Nakagawa
Affiliations:
Department of Industrial Engineering, Aichi Institute of Technology Toyota 470-0392, Japan;Department of Industrial Engineering, Aichi Institute of Technology Toyota 470-0392, Japan;Department of Industrial Engineering, Aichi Institute of Technology Toyota 470-0392, Japan
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2000

Citing 1
Cited 2

Review of recent development: A replacement model for an additive damage model with restoration

Operations Research Letters

An overview of time-based and condition-based maintenance in industrial application

Computers and Industrial Engineering
Anticipation echoes in vintage capital models

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.98

Visualization

Abstract

This paper considers a replacement policy for a cumulative damage model. A unit suffers two kinds of damage which occurs either by shocks or increases with time. It fails only when the total amount of damage exceeds a failure level K. For the purpose of preventing failure, the damage is checked when each shock occurs and a unit is replaced before failure when the total damage exceeds a threshold level k. The expected cost rate is obtained, and an optimal level k^* which minimizes it is derived, when shocks occur in a Poisson process. Numerical examples are finally given.