Abstract
Component importance analysis is to measure the effect on system reliability of component reliabilities, and is used to the system design from the reliability point of view. On the other hand, to guarantee high reliability of real-time computing systems, redundancy has been widely applied, which plays an important role in enhancing system reliability. One of commonly used type of redundancy is the standby redundancy. However, redundancy increases not only the complexity of a system but also the complexity of associated problems such as common-mode error. In this paper, we consider the component importance analysis of a real-time computing system with warm standby redundancy in the presence of Common-Cause Failures (CCFs). Although the CCFs are known as a risk factor of degradation of system reliability, it is difficult to evaluate the component importance measures in the presence of CCFs analytically. This paper introduces a Continuous-Time Markov Chain (CTMC) model for real-time computing system, and applies the CTMC-based component-wise sensitivity analysis which can evaluate the component importance measures without any structure function of system. In numerical experiments, we evaluate the effect of CCFs by the comparison of system performance measure and component importance in the case of system without CCF with those in the case of system with CCFs. Also, we compare the effect of CCFs on the system in warm and hot standby configurations.
Highlights
Nowadays, real-time computing systems are widely used in our daily lives, e.g., Anti-Lock Braking System (ABS) in cars, telephone networks, and patient care systems
To guarantee high reliability of real-time computing systems, redundancy has been widely applied, which is defined as the use of additional components or subsystems beyond the number required for the system to operate reliably, and plays an important role in enhancing system reliability
We evaluate the effect of Common-Cause Failures (CCFs) by the comparison of system performance measure and component importance in the case of system without CCF with those in the case of system with CCFs, and compare the warm and hot standby configurations
Summary
Real-time computing systems are widely used in our daily lives, e.g., Anti-Lock Braking System (ABS) in cars, telephone networks, and patient care systems. In Zheng et al (Zheng et al, 2015), they introduced a CTMC model for a real-time computing system with a hot standby redundancy in the presence of CCFs, and applied the CTMC-based component-wise sensitivity analysis to evaluate three kinds of importance measures. This paper considers the real-time computing system in a warm standby configuration, which is represented by hybrid model consisting of RBD and CTMCs. The RBD is top level description for the system that illustrates how components and subsystem reliabilities contribute to the success or failure of a system. The CTMC can well describe the dynamic behavior of system, and is used to model three subsystems in the real-time computing system Based on these models, we evaluate three kinds of importance measures considered by Fricks and Trivedi (Fricks and Trivedi, 2003) of system components and subsystems. The system can be primarily divided into three subsystems: PM, SM, and DS subsystems, which are implemented by redundancy schemes
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