The structural Birnbaum importance of consecutive-k systems

被引:13
作者
Chang, HW [1 ]
Chen, RJ
Hwang, FK
机构
[1] Tatung Univ, Dept Appl Math, Taipei 104, Taiwan
[2] Natl Chiao Tung Univ, Dept Comp Sci & Informat Engn, Hsinchu 30010, Taiwan
[3] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu 30010, Taiwan
关键词
consecutive-k systems; system reliabilty; Birnbaum importance; structural importance;
D O I
10.1023/A:1013803728112
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper is concerned with three types of structural Birnbaum importance of components in a consecutive-k system. We accomplish the following three tasks: (i) Survey existing results, including pointing out results claimed but proofs are incomplete. (ii) Give some new results and useful lemmas. (iii) Observe what are still provable and what are not with the help of extensive computing.
引用
收藏
页码:183 / 197
页数:15
相关论文
共 14 条
[1]  
[Anonymous], MULTIVARIATE ANAL
[2]   New comparisons in Birnbaum importance for the consecutive-k-out-of-n system (vol 13, pg 187, 1999) [J].
Chang, GJ ;
Hwang, FK ;
Cui, LR .
PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2000, 14 (03) :405-405
[3]   ON THE CONSECUTIVE-K-OF-N - F-SYSTEM [J].
DERMAN, C ;
LIEBERMAN, GJ ;
ROSS, SM .
IEEE TRANSACTIONS ON RELIABILITY, 1982, 31 (01) :57-63
[4]   OPTIMAL CONSECUTIVE-2-OUT-OF-N SYSTEMS [J].
DU, DZ ;
HWANG, FK .
MATHEMATICS OF OPERATIONS RESEARCH, 1986, 11 (01) :187-191
[5]   FAST SOLUTIONS FOR CONSECUTIVE-K-OUT-OF-N - F-SYSTEM [J].
HWANG, FK .
IEEE TRANSACTIONS ON RELIABILITY, 1982, 31 (05) :447-448
[6]   A CONSECUTIVE-K-OUT-OF-N - G-SYSTEM - THE MIRROR-IMAGE OF A CONSECUTIVE-K-OUT-OF-N - F-SYSTEM [J].
KUO, W ;
ZHANG, WX ;
ZUO, MJ .
IEEE TRANSACTIONS ON RELIABILITY, 1990, 39 (02) :244-253
[7]   Structure importance of consecutive-k-out-of-n systems [J].
Lin, FH ;
Kuo, W ;
Hwang, F .
OPERATIONS RESEARCH LETTERS, 1999, 25 (02) :101-107
[8]   OPTIMAL CONSECUTIVE-2-OUT-OF-N-F COMPONENT SEQUENCING [J].
MALON, DM .
IEEE TRANSACTIONS ON RELIABILITY, 1984, 33 (05) :414-418
[9]   OPTIMAL CONSECUTIVE-K-OUT-OF-N-F COMPONENT SEQUENCING [J].
MALON, DM .
IEEE TRANSACTIONS ON RELIABILITY, 1985, 34 (01) :46-49
[10]   A REARRANGEMENT INEQUALITY FOR THE LONGEST RUN, WITH AN APPLICATION TO NETWORK RELIABILITY [J].
TONG, YL .
JOURNAL OF APPLIED PROBABILITY, 1985, 22 (02) :386-393