EconPapers    
Economics at your fingertips  
 

Hierarchical probability and risk assessment for K-out-of-N system in hierarchy

Xiong-Fei Ye, Yi Zhang, Ogai Harutoshi and Chul-Woo Kim

Reliability Engineering and System Safety, 2019, vol. 189, issue C, 242-260

Abstract: In this research, the model of hierarchical structure from universe theory is imported into the general probability system which helps logically and subordinately describing, measuring, and evaluating the hierarchical probabilistic system. To clearly classify the hierarchy, “fayer†is proposed as the unit of hierarchy. Then, discussions on the relationship between hierarchy and system-of-systems and the risks caused by the hierarchy are proposed. This paper divides the problems of hierarchical probability mainly into two classes: the problems of surviving ratio and problems of passing ratio, and also, mixed problems of surviving ratio and passing ratio. Simultaneously, the surviving ratio is called as reliability. System reliability is one marked kind of hierarchical probability for the risk assessment of the hierarchical system. This paper introduces a new reliability system, P-out-of-1 system, which is derived from the K-out-of-N systems in hierarchy. The hierarchical reliability calculation of every fayer of the P-out-of-1 system is different from other fayers. Furthermore, the risk assessment of the hierarchical system for decision making of one maintenance manifests many differences by different descriptions in different fayers, even these descriptions concentrate on the same system.

Keywords: Hierarchical probability; Risk assessment; K-out-of-N; P-out-of-1; Hierarchical reliability (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: Track citations by RSS feed

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0951832018308548
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:189:y:2019:i:c:p:242-260

Access Statistics for this article

Reliability Engineering and System Safety is currently edited by Carlos Guedes Soares

More articles in Reliability Engineering and System Safety from Elsevier
Bibliographic data for series maintained by Dana Niculescu ().

 
Page updated 2019-11-24
Handle: RePEc:eee:reensy:v:189:y:2019:i:c:p:242-260