Effect of the stochastic weibull parameters on the reliability of the dialysis machine

Dialysis machines operate in an uncertain environment with several sources of disturbances; therefore, it is necessary to take account of the uncertainties during all their life phases. This paper presents a study of the random reliability of the dialysis machine in a stochastic environment through the two-parameter for Weibull distribution. The shape and scale parameters were estimated through analytical and graphical methods based on the failure history of the devices. The formulation of the analytical methods and their exploitation using numerical simulations was one of the objectives of this work. The uncertainties in the stochastic environment of the machines are related to variability in physical and geometric parameters, fluctuations in load conditions, stress boundary conditions, and also to physical laws and simplifying assumptions used in the modeling process. The Weibull parameters introduced these uncertainties, and their effect on the device's reliability was studied. The main contribution is the study of the effect of the uncertainties in Weibull parameters on the reliability of the dialysis machine. The question of the uncertainties in the Weibull parameters was treated. The involved parameters were considered a Gaussian variable, and their means and standard deviations were calculated in several configurations of the dialysis devices. The random failure rate and reliability were treated and discussed. The random systematic inspection period is studied to install an efficient preventive maintenance program.