A survey of the application of gamma processes in maintenance

A condition-based maintenance model for a single component in a system with scheduled and unscheduled downs

“…[19]), because it is relatively flexible and convenient for describing the degradation paths derived from the physics of failures; (ii) the Gamma process (cf. [31]), which is a process that is often used in the literature.…”

Time-dependent Reliability Analysis of Timber-Concrete Composite Beams

“…Deterioration is usually assumed to be a Markov process, stochastic process with independent increments. Types of Markov processes which are used for modelling stochastic deterioration are discrete time Markov process (Markov chains) and continuous time Markov process [9]. The Markov chain model is a widely applied technique in the performance assessment for deteriorating structures [10].…”

“…Gamma process (GP) deterioration model was first proposed by Abdel-Hameed as an appropriate approach for modelling the deterioration randomly occurring in time [9]. Gamma process is a stochastic process with independent non-negative increments that are gamma distributed with an identical scale parameter ( Figure 2).…”

“…The gamma process deterioration model presents the proper model for gradual damage accumulating monotonically over time, such as wear, fatigue, creep, crack growth, erosion, corrosion and swell [9]. Beside this, the gamma process deterioration model has been considered as an appropriate approach for building element deterioration prediction [15] and for bridge deterioration prediction [16].…”

Improving Periodic Preventive Maintenance Strategies Using Condition Monitoring Data

“…Deterioration may be modelled based on failure characteristics and operating environmental characteristics; i.e., modeling deterioration in terms of a time-dependent stochastic process [21]. Relevant models are, for example, the P-F interval, proportional hazard modeling (PHM) -a multivariate regression analysis and Markov-processes [22].…”