Maintenance optimization for a system with a gamma deterioration process and intervention delay: Application to track maintenance

Abstract

This paper presents a maintenance strategy model of a system with a gamma deterioration process, regular inspection times, and intervention delay. Interventions are deemed necessary when the deterioration process is greater than an intervention level at inspection time. The objective is to determine the long-term mean costs of different maintenance strategies and to optimize these costs with respect to specific parameters, such as the intervention level or the inspection interval. Semi-regeneration properties at the inspection times and associated Markov renewal techniques are used in order to compute the long-term mean costs. This model is applied to the maintenance of railway tracks.

Nonlinear degradation modeling and maintenance policy for a two-stage degradation system based on cumulative damage model

“…Because all the shocks are independent in whole degradation process, the probability of shock counting in the first stage N 1 =m and in the second stage N 2 =n is: As Gamma process is suitable for describing monotonic degradation [13,15], shock damage is assumed to be Gamma distribution in this study (It is important to note that the Gamma distribution is used for shock damage by a shock in this study, but in literatures [5-7, 17, 19] the Gamma distribution is used for degradation level of whole continuous degradation process). In this paper, if the ith shock in stage …”

Modeling Degradation of Tracks for Maintenance Planning on a Tram Line

“…The most common used model for the failure progression is the Gamma process which is a continuous time stochastic processes. For further info on systems with gamma deterioration process refer to [29]. A limitation of these processes is that the degradation is assumed to be linear with time.…”

Markov-based model for the prediction of railway track irregularities

“…According to equations (12), (13) and (15), the hazard rate i i ¼ 1, 2, 3 ð Þ and the life expectancy …”