الفهرس 
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Abstract
In this thesis, we investigate some study the modeling reliability of series- parallel/standby systems problem when the components of system subject to different conditions for the working with repair and how improving system reliability. This thesis consists of five chapters. Chapter (1) is devoted to present the basic concepts of availability, reliability and mean time to failure, common- cause failures, redundancy and basic concept of fuzzy set theory. In chapter (2) the availability and reliability analysis of series-parallel repairable system is studied. Non-homogeneous / homogeneous Markov model is used to develop generalized expressions for system state probabilities.. Chapter (3) studies availability and reliability subject to common-cause time to simultaneous failure and the time to repair of each state follow Rayleigh distribution with unknown parameters which can be represented by triangular fuzzy numbers estimated using the statistical data then we introduce the procedures to determine the availability function, the reliability function. Chapter (4), In this chapter, the reliability measures of a repairable system with M operating units, W cold standby units, and R repairmen in which switching failures and reboot delay are considered. In chapter (5) the reliability equivalence factors of a series-parallel system discussed. It is assumed that the system components are independent and non- identical and follows exponentiated linear-exponential distribution function.