TY - JOUR
A2 - Seyranian, Alexander P.
AU - Eryilmaz, Serkan
PY - 2012
DA - 2012/02/20
TI - Consecutive -within--out-of-:F System with Nonidentical Components
SP - 106359
VL - 2012
AB - As a generalisation of consecutive k-out-of-n:F and k-out-of-n:F system models, a consecutive k-within-m-out-of-n:F system consists of n linearly ordered components and fails if and only if there are m consecutive components which include among them at least k failed components. In this paper, we study the survival function of a consecutive k-within-m-out-of-n:F system consisting of independent but nonidentical components. We obtain exact expressions for the survival function when 2m≥n. A detailed analysis for consecutive 2-within-m-out-of-n:F systems is presented and the asymptotic behaviour of hazard rate of these systems is investigated using mixture representations.
SN - 1024-123X
UR - https://doi.org/10.1155/2012/106359
DO - 10.1155/2012/106359
JF - Mathematical Problems in Engineering
PB - Hindawi Publishing Corporation
KW -
ER -