Reliability Analysis Of Multi-state Systems With Hierarchical Performance Sharing Mechanism

In recent years,with the continuous development of engineering technology,the demand for engineering has also increased,which has led to the increasingly complex and large structure of engineering machinery systems,and the system functions have become increasingly sophisticated and diversified.Considering that the system’s good reliability can ensure that the system can stably perform its functions,the direction of system reliability theory has been the focus of scholars’ research.The system reliability optimization design technology is widely used in mechanical engineering and communication,complex mechanical systems such as systems,computers and network systems,transportation systems,energy systems,supply systems,urban facility systems,and strategic defenses.This paper takes the problem of reliability analysis of multi-state system with hierarchical performance sharing mechanism.Multi-state with hierarchical systems are composed of M subsystems connected in series.Each component in each subsystem has its own random level of performance and demand.If the performance level of each component inside a subsystem exceeds the required level,then the excess performance of the component will be shared by the transmission system to other components with insufficient performance in the same subsystem to improve the reliability of the syste m.Performance is shared across subsystems and shared between subsystems.The amount of excess performance transfer is limited by the transmission capacity of the transmission system between the subsystems.If the component performance level of any of the subsystems in the system does not meet its own required demand level,then the entire system will fail.This paper uses an algorithm based on Universal Generating function to evaluate the reliability of the system.Firstly,we studied multi-state system with hierarchical performance sharing mechanism.The model is composed of multi-state subsystems connected in series by different connection systems,each of which contains different series components.Then the system is introduced with the assumptions and theoretical analysis of the model.At the same time,the reliability of the system is obtained by UGF algorithm,and the analysis and numerical examples are given.Secondly,we study the multi-state system with hierarchical performance sharing mechanism under epistemic uncertainty.The model is extended on the basis of the above research.In this part,the epistemic uncertainty and theoretical analysis of the model are first introduced.When using the BUGF algorithm to obtain the reliability of the system,an analysis and numerical examples are given.Finally,we conducted numerical experiments on these two models to explore the relationship between system reliability and the number of subsystems and transmission performance and the variation of system reliability.The innovation of this paper is:(1)Considering the performance of multi-level system,it will be restricted by the position and distance of components during transmission.The traditional multi-level system realizes performance sharing through the common bus.The common bus can realize the performance sharing between any two components.However,the performance transmission in actual production is always limited by the transmission distance and component position.In this paper,the excess performance can only be transferred between adjacent components,and only the performance of the adjacent components is sufficient,the excess performance can be further transferred to the non-adjacent components.(2)This paper considers a multi-level and multi-state sharing model under cognitive uncertainty.Since the performance level in the general multi-level and multi-state system model is discrete,that is,it is necessary to accurately know the true value of the system performance level.However,in the actual process,the specific value of the performance level cannot be calculatd due to factors such as incomplete information,so it is necessary to estimate the performance level.Under this condition,the system reliability also needs to be calculated according to the interval performance level.This paper further extends the general multi-level multi-state system model with performance sharing to cognitive uncertainty model.