TY  - Type of reference 
TI  - Reliability of the hemodialysis machine through Weibull distribution in the presence of uncertainties 
AU  - Sofiene Fenina
 
AU  - Souheyl Jendoubi
 
AU  - Faker Bouchoucha 
AB  - Hemodialysis devices are vital medical equipment which are directly responsible for the patient’s life, used to treat kidney failure. In this paper, the reliability of the Hemodialysis machine in stochastic environment was analyzed using a Weibull distribution approach. From the failure history, the scale and the shape parameters of the Weibull distribution were estimated using analytical and graphical methods. The effect of the external influencing factors on the machine reliability is treated. These factors have a random effect which depends on the external stochastic environment of the system. The adopted methodology consists in introducing a Gaussian perturbation on the Weibull parameters and studying its effect on the reliability indicators. The means and standard deviations of the Weibull parameters are calculated and used to extract the mean and standard deviation of the reliability indicators through the first-order Taylor series expansion. The numerical simulations lead to visualize the mean and the standard deviation of the reliability of the hemodialysis machine. 
DO  - 10.21494/ISTE.OP.2024.1108 
JF  - Industrial and Systems Engineering 
KW  - Reliability, Weibull distribution, stochastic environment, Gaussian variable, Fiabilité, loi de Weibull, environnement stochastique, Variable gaussienne,  
L1  - http://openscience.fr/IMG/pdf/iste_induprod24v7n1_1.pdf 
LA  - en 
PB  - ISTE OpenScience 
DA  - 2024/03/1 
SN  - 2632-5993 
TT  - Fiabilité de l’appareil d’hémodialyse via la distribution de Weibull en présence des incertitudes 
UR  - http://openscience.fr/Reliability-of-the-hemodialysis-machine-through-Weibull-distribution-in-the 
IS  - Issue 1 
VL  - 7 
ER  -