Reliability Measures of Semi-Markov Systems with General State Space

被引：35
作者：
Limnios, Nikolaos [1 ]
机构：
[1] Univ Technol Compiegne, Appl Math Lab, F-60205 Compiegne, France
来源：
METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY | 2012年 / 14卷 / 04期
关键词：
Semi-Markov process; Reliability; Availability; Failure rate; Rate of occurrence of failure; Mean time to failure; Survival function;
D O I：
10.1007/s11009-011-9211-5
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：
The aim of this paper is to present a systematic modeling of reliability and related measures: availability, maintainability, failure rate, rate of occurrence of failures, mean times, etc., known in the literature under the term dependability. This model includes the continuous and discrete time semi-Markov processes with general state space. This is one of the most general models in reliability theory since it includes as particular cases the Markov and renewal processes.
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收藏
页码：895 / 917
页数：23
相关论文
共 34 条
  • [1] [Anonymous], 1997, ADV NUCL SCI TECHNOL
  • [2] [Anonymous], THEOR PROBAB APPL
  • [3] [Anonymous], MARKOV CHAINS MODELS
  • [4] [Anonymous], 2003, Multi-state system reliability: Assessment, optimization and applications
  • [5] [Anonymous], 2008, LECT NOTES STAT
  • [6] Asmussen S, 2008, Applied probability and queues
  • [7] Aven T., 1999, Stochastic Models in Reliability
  • [8] Barlow R.E., 1981, STAT THEORY RELIABIL
  • [9] Bhattacharya R., 2007, Random dynamical systems: theory and applications
  • [10] Piecewise deterministic Markov processes applied to fatigue crack growth modelling
    Chiquet, Julien
    Limnios, Nikolaos
    Eid, Mohamed
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2009, 139 (05) : 1657 - 1667
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