Kronecker Algebra for Series-parallel Multi-state Systems Reliability Evaluation
نویسندگان
چکیده
Multi-state Systems (MSS) are those systems whose stochastic degradation process is characterized by several performance levels varying from nominal functioning to complete failure. MSS arise naturally in many application areas. Since, MSS reliability evaluation and estimation has received a great attention from researchers and a wide range of papers dealing with MSS exist in the literature. In this paper, an approach based on Kronecker algebra is proposed to evaluate the reliability of a series-parallel MSS. The main advantage of the proposed approach is that the mathematical expressions of the MSS reliability indices are derived from data of individual elementary components without generating the whole, possibly huge, MSS state space. Examples are given to illustrate the proposed approach.
منابع مشابه
A New Continuous Multi-State Reliability Model with Time Dependent Component Performance Rate
A CSS1†is a system with the continues-state components. When a component has the ability to obtain all the situations from completely working to completely failed, it named continues-state component. In the real world, performance rate of elements are continuous and decrease by time. Continuity of components causes infinite working states and grows up the system states. In this paper we propose...
متن کاملComparing Parallel Simulated Annealing, Parallel Vibrating Damp Optimization and Genetic Algorithm for Joint Redundancy-Availability Problems in a Series-Parallel System with Multi-State Components
In this paper, we study different methods of solving joint redundancy-availability optimization for series-parallel systems with multi-state components. We analyzed various effective factors on system availability in order to determine the optimum number and version of components in each sub-system and consider the effects of improving failure rates of each component in each sub-system and impr...
متن کاملReliability and Risk Analysis of Multi-state Systems with Degrading Coponents
Applications of multi-state approach to the reliability evaluation of systems composed of independent components are considered. The main emphasis is on multi-state systems with degrading components because of the importance of such an approach in safety analysis, assessment and prediction, and analysing the effectiveness of operation processes of real technical systems. The results concerned w...
متن کاملLazy Parallel Kronecker Algebra-Operations on Heterogeneous Multicores
Kronecker algebra is a matrix calculus which allows the generation of thread interleavings from the source-code of a program. Thread interleavings have been shown effective for proving the absence of deadlocks. Because the number of interleavings grows exponentially in the number of threads, deadlock analysis is still a challenging problem. To make the computation of thread interleavings tracta...
متن کاملA fuzzy reliability model for series-parallel systems
Fuzzy set based methods have been proved to be effective in handling many types of uncertainties in different fields, including reliability engineering. This paper presents a new approach on fuzzy reliability, based on the use of beta type distribution as membership function. Considering experts' ideas and by asking operators linguistic variables, a rule base is designed to determine the level ...
متن کامل