On computing signatures of coherent systems

被引:38
作者
Da, Gaofeng [1 ]
Zheng, Ben [1 ]
Hu, Taizhong [1 ]
机构
[1] Univ Sci & Technol China, Dept Stat & Finance, Sch Management, Hefei 230026, Anhui, Peoples R China
关键词
Module; Redundancy; Parallel; Series; k-out-of-n system; RELIABILITY; COMPONENTS;
D O I
10.1016/j.jmva.2011.06.015
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
It is difficult to compute the signature of a coherent system with a large number of components. This paper derives two basic formulas for computing the signature of a system which can be decomposed into two subsystems (modules). As an immediate application, we obtain the formula for computing the signature of systemwise redundancy in terms of the signatures of the original system and the backup one. The formula for computing the signature of a component wise redundancy system is also derived. Some examples are given to illustrate the power of the main results. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码:142 / 150
页数:9
相关论文
共 16 条
[1]  
Barlow R.E., 1981, STAT THEOREY RELIABI
[2]   Signatures of indirect majority systems [J].
Boland, PJ .
JOURNAL OF APPLIED PROBABILITY, 2001, 38 (02) :597-603
[3]   COMPONENT REDUNDANCY VS SYSTEM REDUNDANCY IN THE HAZARD RATE ORDERING [J].
BOLAND, PJ ;
ELNEWEIHI, E .
IEEE TRANSACTIONS ON RELIABILITY, 1995, 44 (04) :614-619
[4]  
Chang C. J., 2000, RELIABILITY CONSECUT
[5]   RELIABILITY OF CONSECUTIVE-K-OUT-OF-N-F SYSTEM [J].
CHIANG, DT ;
NIU, SC .
IEEE TRANSACTIONS ON RELIABILITY, 1981, 30 (01) :87-89
[6]  
Kochar S, 1999, NAV RES LOG, V46, P507, DOI 10.1002/(SICI)1520-6750(199908)46:5<507::AID-NAV4>3.0.CO
[7]  
2-D
[8]   Properties of coherent systems with dependent components [J].
Navarro, J. ;
Ruiz, Jose M. ;
Sandoval, Carlos J. .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2007, 36 (1-4) :175-191
[9]   On the application and extension of system signatures in engineering reliability [J].
Navarro, Jorge ;
Samaniego, Francisco J. ;
Balakrishnan, N. ;
Bhattacharya, Debasis .
NAVAL RESEARCH LOGISTICS, 2008, 55 (04) :313-327
[10]   Mean residual lifetimes of consecutive-k-out-of-n systems [J].
Navarro, Jorge ;
Eryilmaz, Serkan .
JOURNAL OF APPLIED PROBABILITY, 2007, 44 (01) :82-98