Reliability of a consecutive (r,s)-out-of-(m,n):F lattice system with conditions on the number of failed components in the system
2009; Elsevier BV; Volume: 34; Issue: 3 Linguagem: Inglês
10.1016/j.apm.2009.06.022
ISSN1872-8480
AutoresA. Habib, T. Yuge, R.O. Al-Seedy, Sherif I. Ammar,
Tópico(s)Fatigue and fracture mechanics
ResumoA consecutive( r , s )-out-of-( m , n ):F lattice system which is defined as a two-dimensional version of a consecutive k -out-of- n :F system is used as a reliability evaluation model for a sensor system, an X-ray diagnostic system, a pattern search system, etc. This system consists of m × n components arranged like an ( m , n ) matrix and fails iff the system has an ( r , s ) submatrix that contains all failed components. In this paper we deal a combined model of a k -out-of- mn :F and a consecutive ( r , s )-out-of-( m , n ):F lattice system. Namely, the system has one more condition of system down, that is the total number of failed components, in addition to that of a consecutive ( r , s )-out-of-( m , n ):F lattice system. We present a method to obtain reliability of the system. The proposed method obtains the reliability by using a combinatorial equation that does not depend on the system size. Some numerical examples are presented to show the relationship between component reliability and system reliability.
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