Multi-state system reliability assessment method based on Markov and universal generation function

A general generating function, multi-state system technology, applied in the direction of genetic model, genetic law, electrical digital data processing, etc., to achieve the effect of improving calculation time, ensuring accuracy, and reducing workload

Pending Publication Date: 2019-08-09
JIANGSU UNIV OF TECH
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Problems solved by technology

The complexity of manufacturing system reliability research lies in the extremely intricate relationship between events that occur asynchronously at discrete times in each equipment unit in the system. Traditional system analysis only considers two states, correct work or complete failure

Method used

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  • Multi-state system reliability assessment method based on Markov and universal generation function
  • Multi-state system reliability assessment method based on Markov and universal generation function
  • Multi-state system reliability assessment method based on Markov and universal generation function

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Embodiment

[0086] A method for evaluating the reliability of multi-state systems based on Markov and general generating functions, comprising the following steps:

[0087] S1. First establish the Markov process of the unit, and use the differential equations to solve the state probability of the Markov chain of each unit; taking the manufacturing system composed of four units U1, U2, U3, and U4 as an example, the performance of each unit is known value and the transition density matrix, and use the Runge-Kutta method to solve the differential equation to obtain the state probability of each unit. It is known that U1, U2, and U3 are in three states, U4 is in two states, and their performance values ​​are g11=0MW, g12=150MW, g13=320MW, g21=0MW, g22=180MW, g23=360MW, g31=0MW, g32= 500MW, g33=700MW, g41=0MW, g42=320MW, the transfer rate matrix is ​​A1=A2=A3= Under the known initial conditions, the probability of each state is obtained, and the time-varying curve of each state is as follows...

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Abstract

The invention provides a multi-state system reliability assessment method based on Markov and a universal generation function. A multi-state system is used as a research object, the method comprises:firstly, using the Markov process of a component for obtaining the probability of each state, using Lz transformation for obtaining a universal generation function model of the component, then usinguniversal generation operator for conducting operation to obtain a universal generation function of the system, and using a K-means clustering algorithm to process, so that the workload is greatly reduced, and the calculation efficiency is improved; and determining the transfer density of the Markov process of the system by using a genetic algorithm, so that the Markov process of the system is solved, and the reliability of the multi-state system is effectively evaluated in real time. Compared with a traditional Monte Carlo reliability analysis method, the calculation time is greatly shortened, the state explosion is avoided, the transfer density matrix is optimized on the basis of ensuring the calculation precision by adopting a genetic algorithm, the calculation efficiency is remarkablyimproved, and the calculation time is shortened.

Description

technical field [0001] The invention belongs to the technical field of multi-state system reliability evaluation, and in particular relates to a reliability evaluation method based on Markov process and general generating function in reliability analysis of manufacturing system. Background technique [0002] With the formation of the global dynamic and changeable market and the intensification of market competition, enterprises have higher and higher requirements for manufacturing systems, and more and more enterprises have devoted themselves to the research work on the reliability of manufacturing systems. The complexity of manufacturing system reliability research lies in the extremely intricate relationship between events that occur asynchronously at discrete time among each equipment unit in the system. Traditional system analysis only considers two states, correct work or complete failure. But almost all complex systems are no longer limited to binary systems, but turn ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50G06N3/12G06K9/62
CPCG06N3/126G06F30/20G06F18/23213
Inventor 周金宇胡健王保昌
Owner JIANGSU UNIV OF TECH
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