Multi-objective layout optimization method for pipelines based on nsga algorithm
A layout optimization, multi-objective technology, applied in the direction of calculation, geometric CAD, special data processing applications, etc., to achieve the effect of solving multi-objective optimization problems of pipelines
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[0062] Taking the laying of a single pipeline on the surface of a simplified model of an aero-engine as an example, given the starting point and end point of the pipeline and the obstacle model, this method establishes three objective functions as follows:
[0063] f 1 =1 / (0.01*l pipe +1000*h pipe )
[0064] f 2 =1 / (0.1*b pipe +1000*h pipe )
[0065] f 3 =1 / (0.01*e pipe +1000*h pipe )
[0066] in:
[0067] l pipe - the length of the pipeline,
[0068] b pipe - the number of pipe elbows,
[0069] e pipe — energy value of pipeline position,
[0070] h pipe - Penalty for pipeline intersecting obstacles,
[0071] After MATLAB programming and simulation processing, the Pareto solution set generated by each generation can be obtained, figure 2 The Pareto solution distributions corresponding to the 10th, 20th, 30th, and 100th generations in the calculation process are shown respectively.
[0072] from figure 2 It can be concluded that as the number of iteration...
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