TY - JOUR
T1 - Relative Ageing of Series and Parallel Systems with Statistically Independent and Heterogeneous Component Lifetimes
AU - Li, Chen
AU - Li, Xiaohu
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2016/6
Y1 - 2016/6
N2 - This paper studies series and parallel systems with mutually statistically independent and heterogeneous component lifetimes. The system with homogeneous component lifetimes is proved to age relatively faster than that with component lifetimes following the proportional hazard rates (reversed hazard rates) model in terms of the reversed hazard rate (hazard rate). Sufficient conditions for the relative ageing order on systems with component lifetimes belonging to a scale family are developed as well.
AB - This paper studies series and parallel systems with mutually statistically independent and heterogeneous component lifetimes. The system with homogeneous component lifetimes is proved to age relatively faster than that with component lifetimes following the proportional hazard rates (reversed hazard rates) model in terms of the reversed hazard rate (hazard rate). Sufficient conditions for the relative ageing order on systems with component lifetimes belonging to a scale family are developed as well.
KW - Decreasing reversed hazard rate (DRHR)
KW - Scale model
KW - increasing hazard rate (IHR)
KW - proportional hazard rates
KW - proportional reversed hazard rates
UR - http://www.scopus.com/inward/record.url?scp=84954124832&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84954124832&partnerID=8YFLogxK
U2 - 10.1109/TR.2015.2512226
DO - 10.1109/TR.2015.2512226
M3 - Article
AN - SCOPUS:84954124832
SN - 0018-9529
VL - 65
SP - 1014
EP - 1021
JO - IEEE Transactions on Reliability
JF - IEEE Transactions on Reliability
IS - 2
M1 - 7381697
ER -