A survey of the application of gamma processes in maintenance

JM Van Noortwijk - Reliability Engineering & System Safety, 2009 - Elsevier
This article surveys the application of gamma processes in maintenance. Since the
introduction of the gamma process in the area of reliability in 1975, it has been increasingly …

Probabilistic models for life‐cycle performance of deteriorating structures: review and future directions

DM Frangopol, MJ Kallen… - Progress in structural …, 2004 - Wiley Online Library
In comparison with the well‐researched field of analysis and design of structural systems,
the life‐cycle performance prediction of these systems under no maintenance as well as …

Continuous-time predictive-maintenance scheduling for a deteriorating system

A Grall, L Dieulle, C Bérenguer… - IEEE transactions on …, 2002 - ieeexplore.ieee.org
A predictive-maintenance structure for a gradually deteriorating single-unit system
(continuous time/continuous state) is presented in this paper. The proposed decision model …

A condition-based maintenance policy for stochastically deteriorating systems

A Grall, C Bérenguer, L Dieulle - Reliability Engineering & System Safety, 2002 - Elsevier
We focus on the analytical modeling of a condition-based inspection/replacement policy for
a stochastically and continuously deteriorating single-unit system. We consider both the …

Maintenance of continuously monitored degrading systems

H Liao, EA Elsayed, LY Chan - European Journal of Operational Research, 2006 - Elsevier
This paper considers a condition-based maintenance model for continuously degrading
systems under continuous monitoring. After maintenance, the states of the system are …

Sequential condition-based maintenance scheduling for a deteriorating system

L Dieulle, C Bérenguer, A Grall… - European Journal of …, 2003 - Elsevier
This paper deals with a continuously deteriorating system which is inspected at random
times sequentially chosen by help of a maintenance scheduling function. The deterioration …

Gamma processes and peaks-over-threshold distributions for time-dependent reliability

JM van Noortwijk, JAM van der Weide… - Reliability Engineering & …, 2007 - Elsevier
In the evaluation of structural reliability, a failure is defined as the event in which stress
exceeds a resistance that is liable to deterioration. This paper presents a method to combine …

Optimal maintenance decisions under imperfect inspection

MJ Kallen, JM Van Noortwijk - Reliability engineering & system safety, 2005 - Elsevier
The process industry is increasingly making use of Risk Based Inspection (RBI) techniques
to develop cost and/or safety optimal inspection plans. This paper proposes an adaptive …

Two probabilistic life-cycle maintenance models for deteriorating civil infrastructures

JM van Noortwijk, DM Frangopol - Probabilistic engineering mechanics, 2004 - Elsevier
The purpose of this paper is to describe and compare two maintenance models for
deteriorating civil infrastructures that can be used to insure an adequate level of reliability at …

Remaining useful life prediction for a nonlinear heterogeneous Wiener process model with an adaptive drift

Z Huang, Z Xu, W Wang, Y Sun - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
Nonlinear degradation trajectories are encountered frequently, and not all of them evolve
homogeneously in practical systems. To take nonlinearity, heterogeneity, and the entire …