The hydro-demetallization kinetic model and the expression of catalyst deactivation function were proposed on the base of appropriate hypothesis used in common kinetic research methods and the operation data from Maoming′s Residue Hydrodesulfurization Treatment Unit (S-RHT).

By adopting reasonable model assumption and common research method of kinetics model, residue hydrofining kinetics model and catalyst deactivation function formula have been established based on the faithful data of S-RHT unit in Maoming Company.

An empirical catalyst deactivation function was incorporated into the model to account the loss in activity because of coke formation on the catalyst surface during the long-term operation.

Mis-acceptance and mis-rejection in product examination and analysis of quality loss function;

Research on stochastic facility layout problem based on loss function;

Multi-output support vector regression with piecewise loss function;

By taking advantage of the characteristics of the logarithmic normal distribution and simplifying the limit state function,a new method is proposed to further develop and complete the above concept.

A method to simplify the limit state function is proposed by taking advantage of the characteristics of logarithmic normal distribution.

According to the failure function traits of KMP algorithm, this method can drastically decrease the CPU computation time to search the probable position of query sequences.

Based on the certain properties of that both mean value and covariance matrix of stochastic variables related the failure function, a pseudo variables method is proposed in this paper for accurately to compute structural reliability in accordance with the failure function.