Mathematical Modelling of the Gradual Aging of Systems using the weibull hazard function

Abstract

This paper proposes a mathematical model for obtaining the shape and scale parameters, and the implication of these parameters in obtaining the aging coefficient of any system which is gradually aging, using the twoparameter weibull hazard function. The shape and scale parameters that determines the aging coefficient of any system is realizable especially when the failure times of the system is modelled by the weibull distribution. It concludes that the nature of the aging property depends on the aging coefficient of the system, which makes the system to gradually age with time.

Keywords: Weibull distribution, aging coefficient, shape parameter, scale parameter, hazard function.