System failure minimum cutest obtaining method based on digraph solving band logic ring
A directed graph and logic loop technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as unintuitive methods, cumbersome minimum cut set operations, etc. simple idea effect
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Embodiment 1
[0047] refer to Figure 3-9 , to describe Embodiment 1. The system of Embodiment 1 is a linear correlation system with a logic loop composed of systems A, B, C, and D having mutual support relationships. According to the method of the invention, the linear correlation system with logic loop is analyzed to obtain the minimum cut set of failure factors of the target system. The specific analysis steps are:
[0048] Step A: Obtain a directed graph between systems according to the mutual support relationship between systems, see image 3 , denoted as G 0 =0 ,E 0 >
[0049] Step B: Skip this step if there is no mixing system;
[0050] Step C: G 0 =0 ,E 0 > Contains a logical ring structure;
[0051] Step D: select C as the target system;
[0052] Step E: Calculate the out-degree of the vertices corresponding to each system of the non-target system, and set the target system (C) to the corresponding vertex (V C ) into the path, delete the vertices corresponding to the targ...
Embodiment 2
[0066] refer to Figure 10-15 , to describe embodiment 2. The system of embodiment 2 is a logical ring composed of systems A and B that have a mutual support relationship and there is a new extension relationship in the mutual support relationship between A and B that reacts on the two systems of A and B. nonlinear system. According to the method of the invention, the nonlinear system with logic loop is analyzed to obtain the minimum cut set of failure factors of the target system. The specific analysis steps are:
[0067] Step A: Obtain a directed graph between systems according to the mutual support relationship between systems, such as Figure 10 As shown, record the directed graph as G 0 =0 ,E 0 >
[0068] Step B: Transform the hybrid system AB into a new directed graph according to the mutual support relationship, such as Figure 11 shown, denoted as G 00 =00 ,E 00 >
[0069] Step C: G 00 =00 ,E 00 > Contains the logical ring structure of the interaction betwee...
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