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Population competition dynamics optimization method with horizontal nutrition structures

An optimization method, kinetic technology, applied in biological models, instruments, computational models, etc.

Inactive Publication Date: 2013-07-24
XI'AN UNIVERSITY OF ARCHITECTURE AND TECHNOLOGY
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Problems solved by technology

[0016] In order to solve the problems existing in the above-mentioned prior art, the object of the present invention is to provide a population competition dynamics optimization method with horizontal nutritional structure—PCDO-HNS algorithm, which has the characteristics of strong search ability and global convergence, and is complex The solution of function optimization problems, especially high-dimensional optimization problems, provides a solution

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  • Population competition dynamics optimization method with horizontal nutrition structures
  • Population competition dynamics optimization method with horizontal nutrition structures
  • Population competition dynamics optimization method with horizontal nutrition structures

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Embodiment Construction

[0190] The present invention will be described in further detail below in conjunction with specific examples.

[0191] (1) Determine the actual optimization problem to be solved, and transform the problem into the standard form described by formula (1). which is

[0192] (2) If the actual optimization problem is to find max f(X), change it to min-f(X).

[0193] (3) Compress and adjust all the variable intervals of the actual optimization problem, namely

[0194] if 0≤x i ≤a i , a i ≥0, i=1, 2, ..., n, then set x i =a i the y i Substitute into the actual optimization problem, this is the actual optimization problem is about the variable y i The optimization problem of , 0≤y i ≤1.

[0195] if-a i ≤x i ≤0, a i ≥0, i=1, 2, ..., n, then set x i =-a i the y i Substitute into the actual optimization problem, this is the actual optimization problem is about the variable y i The optimization problem of , 0≤y i ≤1.

[0196] if-b i ≤x i ≤a i , a i ≥0,b i ≥0, i=1,...

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Abstract

A population competition dynamics optimization method with horizontal nutrition structures is a PCDO-HNS algorithm. A solution space of an optimization problem is regarded as an ecosystem which has a plurality of different sub-systems, each sub-system has a specific horizontal nutrition structure type which is one of a normal distribution type, a discrete distribution type, a nearest type, an even type and a monotone decreasing type, populations living in each sub-system mutually compete, and mutual learning behaviors, mutual influence behaviors, mutation occurring behaviors and close keeping behaviors also exist in an accompanying mode. A population competition dynamics model with the horizontal nutrition structures are used for constructing five population evolution operators of the normal distribution type, the discrete distribution type, the nearest type, the even type and the monotone decreasing type, and the operators are used for constructing evolution strategies of the populations. The algorithm has the advantages of being strong in search capability and having global convergence, and a solution scheme is provided for the solution of a complex function optimization problem.

Description

technical field [0001] The invention relates to an intelligent optimization algorithm, in particular to a population competition dynamics optimization method with a horizontal nutritional structure—PCDO-HNS algorithm. Background technique [0002] Consider general function optimization problems [0003] minf(X) [0004] s . t . g i ( X ) ≥ 0 , i = 1 , 2 , · · · , I h i ...

Claims

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Application Information

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IPC IPC(8): G06N3/00
Inventor 黄光球陆秋琴
Owner XI'AN UNIVERSITY OF ARCHITECTURE AND TECHNOLOGY
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