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Polymorphic decision diagram-based standby-containing system reliability analysis and calculation method

A calculation method and backup system technology, which is applied in the field of reliability analysis and calculation of backup system based on polymorphic decision graph, and can solve problems such as long calculation time

Inactive Publication Date: 2017-10-24
ZHEJIANG UNIV
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Problems solved by technology

Existing analysis methods have certain limitations in the analysis of multi-state components with backup systems. Analytical methods such as the Markov process model require the state transition of components to obey the exponential distribution, while the binary decision diagram method can only be used to deal with Systems with two-state elements; simulation methods yield only approximate solutions and typically require long computation times

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  • Polymorphic decision diagram-based standby-containing system reliability analysis and calculation method
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  • Polymorphic decision diagram-based standby-containing system reliability analysis and calculation method

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Embodiment Construction

[0072] The present invention is further described below in conjunction with embodiment and accompanying drawing as follows.

[0073] This example is as follows:

[0074] There are 3 elements in the implemented system (A 1 , A 2 , A 3), its state and capacity are shown in Table 1, and the system requirement is 15. The time distribution of component state transition obeys the Weibull distribution, and its parameters are shown in Table 2. According to the component capacity and system requirements, at the initial moment of system operation, component A 1 and A 2 In run mode, element A 3 in standby mode. Spare component A 3 The startup failure probabilities q are 0, 0.1, 0.2 respectively.

[0075] Table 1 Status and capacity of system components

[0076] Component / Status / Capacity

1

2

3

A 1

10

5

0

A 2

8

4

0

A 3

6

3

0

[0077] Table 2 Weibull distribution parameters of component state transition time ...

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Abstract

The invention discloses a polymorphic decision diagram-based standby-containing system reliability analysis and calculation method. A polymorphic system model containing standby mode components is built; and according to a state transition possibility of each component in a system, a polymorphic decision diagram is established. Through establishment, simplification and decomposition of the polymorphic decision diagram of the system, an occurrence probability of each path in sub-diagrams of the polymorphic decision diagram of the system is obtained by utilizing integral operation, and by considering a failure probability during startup of each standby component, the occurrence probability of each path in the polymorphic decision diagram is calculated, so that system reliability is calculated. According to the method, the standby-containing polymorphic system is taken as an object, and the contained standby polymorphic components with state transition obeying any distribution can be processed in a programmed manner, so that the accuracy is high and the calculation speed is high; and the method is of important significance for reliability theoretical analysis of the polymorphic standby system with the state transition obeying any distribution and engineering application of the system.

Description

technical field [0001] The invention belongs to the field of reliability analysis of complex engineering systems, and in particular relates to a method for analyzing and calculating reliability of a system with backup based on a polymorphic decision-making diagram, which uses the polymorphic decision-making diagram method to analyze the operational reliability of an engineering system with spare components and calculate. Background technique [0002] In engineering systems, in order to ensure the reliability of the system, redundant technologies such as hot standby, cold standby, and warm standby are usually used to add spare components to the system. Once the operating element fails, the spare element can be put into operation to maintain the high reliability of the system. In addition, components also have multiple discrete state values, showing polymorphic characteristics. Existing analysis methods have certain limitations in the analysis of multi-state components with ...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/20G06N20/00G06N5/01G06N7/01G06F17/13G06N5/022
Inventor 丁一加鹤萍刘瀚琳彭锐宋永华
Owner ZHEJIANG UNIV
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