Truncated extreme value model for pipeline reliability

A truncated extreme value distribution has been developed to characterize pipeline reliability by considering the distribution of initial pit depths on the surface of a pipeline exposed to corrosive environments. This model can be used as an alternative to the Weibull model when a pipe is subjected to a severe corrosive environment. The model yields an exponential type hazard function with a possibility of a minor damage to the pipe surface at the time of commissioning. The probability model is analyzed thoroughly and its characteristic features such as mean, variance, median, quantile, and coefficient of variation are presented in graphical form. The model parameters, α and θ, are related to the pipe geometry and the average pit depth of the parent distribution.