Availability Assessment of Multi-State System by Hybrid Universal Generating Function and Probability Intervals
نویسنده
چکیده
Abstract: In this paper a non-repairable multi-state system with imprecise probabilities and performance rates are taken, representing imprecise probabilities by interval valued probabilities. These intervals are evaluated by computing bound of interval valued ordinary differential equation of the system. For imprecise performance rates random fuzzy variables are introduced. The proposed method is based on hybrid universal generating function (universal generating function representation of random fuzzy variable) and probability intervals to incorporate the uncertainty problem in availability assessment of the system. Finally, availability p-boxes of the system have been evaluated along with a numerical example.
منابع مشابه
Solving a Joint Availability-Redundancy Optimization Model with Multi-State Components with Meta-Heuristic
This paper has been worked on a RAP with multi-state components and the performance rate of each component working state may increase by spending technical and organizational activities costs. Whereas RAP belongs to Np-Hard problems, we used Genetic algorithm (GA) and simulated annealing (SA) and for solving the presented problem and calculating system reliability universal generating function ...
متن کاملA 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 کاملRandom Fuzzy Extension of the Universal Generating Function Approach for the Availability/Reliability Assessment of Multi-State Systems under Aleatory and Epistemic Uncertainties
s Many engineering systems can perform their intended tasks with various levels of performance, which are modeled as multi-state systems (MSS) for system availability/reliability assessment problems. Uncertainty is an unavoidable factor in MSS modeling and it must be effectively handled. In this work, we extend the traditional universal generating function (UGF) approach for multi-state system ...
متن کاملOn Finite Queue with Two Types of Failures and Preemptive Priority (RESEARCH NOTE)
We study the single server queueing system with two types of Abstract failure to servicechannels including the preemptive priority to the repair of major failure. The units arrive at thesystem in a poisson fashion and are served exponenitally. The steady - state probabilities ofvarious states by using generating function have been obtained.
متن کاملReliability Analysis of Structural Systems based on Universal Generating Function
As an important tool for performance assessment in multi-state systems, the universal generating function approach is introduced and developed aiming at strength reliability analysis of structural systems. Static reliability models of statically determinate and statically indeterminate systems are built by constructing special generating functions, which are used to describe probability distrib...
متن کامل