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Calculation method suitable for transfer rate matrix of composite state spatial model

A technology of state space model and transition rate matrix, which is applied in the calculation field of combined state space model transition rate matrix, can solve problems such as unfavorable application, error-prone, time-consuming and labor-intensive, and achieve a universal effect

Active Publication Date: 2016-08-24
HEFEI UNIV OF TECH
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Problems solved by technology

For the state-space combination, the existing technology still adopts manual methods, that is, manually analyzes all the states that may appear after the state-space model combination, and determines the transition relationship between all states, establishes the combined state-space model, and lists the combined states The transfer rate matrix corresponding to the space model is not only a large workload, time-consuming and labor-intensive, but also error-prone, which is not conducive to wide application

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  • Calculation method suitable for transfer rate matrix of composite state spatial model
  • Calculation method suitable for transfer rate matrix of composite state spatial model
  • Calculation method suitable for transfer rate matrix of composite state spatial model

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[0046] Below in conjunction with accompanying drawing and specific embodiment, further illustrate the present invention, should be understood that these embodiments are only for illustrating the present invention and are not intended to limit the scope of the present invention, after having read the present invention, those skilled in the art will understand various aspects of the present invention Modifications in equivalent forms all fall within the scope defined by the appended claims of this application.

[0047] In this example, the state space method is used to analyze figure 2 The probability that the research object shown can operate, which consists of 7 components connected in series and parallel, is represented by {R 1 , R 2 ,...R 7} means; each component has two states of normal and fault; assuming that all components are of the same type, the failure rate and repair rate are λ, μ respectively; if the state space model is directly established, there will be 2 7 ...

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Abstract

The invention discloses a calculation method suitable for a transfer rate matrix of a composite state spatial model. The calculation method comprises the following steps: 1: dividing a research object into subsystems, and determining a composite sequence; 2: establishing the state spatial model of each subsystem, and listing and writing the transfer rate matrix; 3: adopting a transfer frequency conservation principle to carry out state merging on the subsystems to obtain the transfer rate matrix after subsystem is simplified; 4: according to a composite sequence, successively combining, correcting and simplifying the subsystems to finally obtain the transfer rate matrix corresponding to the state spatial model of the research object; and 5: substituting the transfer rate matrix of the research object into a state space method calculation formula to obtain each steady-state probability of the research object. The calculation method can adopt the formula to directly list and write the transfer rate matrix corresponding to the combined state spatial model, so that the combination and simplification process of the state spatial model can be realized through programming software including Matlab and the like, and a state spatial algorithm is convenient and universal.

Description

technical field [0001] The invention belongs to the field of reliability evaluation based on a state space method, and in particular relates to a calculation method suitable for a transition rate matrix of a combined state space model. Background technique [0002] The state space method is an important method to study the reliability of complex multi-state systems. It analyzes the various states that may exist in the system and the transition between states, and obtains the probability, frequency and duration of each state according to the frequency balance theory. Then various reliability parameters of the system are obtained. [0003] In practical applications, it is difficult to directly establish a state-space model for a complex system. Usually, it is divided into multiple subsystems, and the state-space models are established separately, and then simplified and combined to finally obtain the state-space model of the entire system. For the state-space combination, the...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/16
CPCG06F17/16
Inventor 李生虎华玉婷董王朝
Owner HEFEI UNIV OF TECH
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