Reliability analysis of multi-state systems based on eugf method using common cause failure components

For the multi-state system, the reliability problem of the common component failure group overlaps under the uncertainty of the component state probability information. Combined with evidence theory, evidence generalized generation function (EUGF) method, and common cause failure theory, the EUGF analysis method for multi-state systems when the common cause failure component groups overlap each other is proposed. The reliability problem of the multi-state system when the common cause failure component group overlaps and the component state probability information has uncertainty is solved. Integrate uncertainty information and common cause failure information in a multi-state system. The reliability of the system and the multi-state system in the case of independent failure of the component is compared. The reliability of the multi-state system in the failure of the common component failure component is lower than the reliability of the component independent failure. The reliability analysis of the multi-state system in the case of the uncertainty of the component state probability information is more in line with the actual engineering situation due to the overlapping of the failed component groups. © 2019 Totem Publisher, Inc. All rights reserved.