STOCHASTIC-ANALYSIS OF A DEPENDENT PARALLEL SYSTEM

被引:5
作者
PIJNENBURG, M
RAVICHANDRAN, N
REGTERSCHOT, G
机构
[1] Faculty of Industrial Engineering and Management Science, Eindhoven University of Technology, 5600 MB Eindhoven
关键词
STOCHASTIC PROCESS; PARALLEL REDUNDANCY; RELIABILITY (INTERVAL); AVAILABILITY (JOINT); INTENSITY FUNCTION; PRODUCT DENSITY;
D O I
10.1016/0377-2217(93)90078-2
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
This article discusses the stochastic behaviour of a two-unit parallel redundant repairable system with statistically dependent units. Important performance measures for the system, namely reliability, mean time to system failure, availability, stationary availability, joint availability and interval reliability are obtained in an explicit form. The transient behaviour of the system is characterised for a wide class of repair time distributions. The lifetimes of the units are modelled as bivariate exponential to capture the statistical dependence of the units. The article concludes with a detailed investigation of the stochastic point process induced by entries to various states, which correspond to the number of failed components in the system.
引用
收藏
页码:90 / 104
页数:15
相关论文
共 30 条
[1]  
BARLOW RE, 1975, STATISTICAL THEORY R
[2]  
BIROLINI A, 1985, SPRINGER VERLAG LECT, V252
[3]   QUASI-STATIONARY DISTRIBUTIONS OF BIRTH-AND-DEATH PROCESSES [J].
CAVENDER, JA .
ADVANCES IN APPLIED PROBABILITY, 1978, 10 (03) :570-586
[4]  
Cox D.R., 1955, P CAMB PHILOS SOC, V51, P433, DOI DOI 10.1017/S0305004100030437
[5]  
Cox D. R., 1962, RENEWAL THEORY
[6]  
Cox D. R., 1980, POINT PROCESSES
[7]  
COX DR, 1972, J R STAT SOC B, V34, P187
[8]  
Gaver D., 1963, IEEE T RELIAB, VR-12, DOI [10.1109/TR.1963.5218202, DOI 10.1109/TR.1963.5218202]
[10]   RELIABILITY APPLICATIONS OF A BIVARIATE EXPONENTIAL DISTRIBUTION [J].
HARRIS, R .
OPERATIONS RESEARCH, 1968, 16 (01) :18-&