Population migration dynamics-based optimization method

An optimization method and dynamics technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve complex optimization problems

Inactive Publication Date: 2013-07-31
XI'AN UNIVERSITY OF ARCHITECTURE AND TECHNOLOGY
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  • Abstract
  • Description
  • Claims
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Problems solved by technology

[0012] In order to solve the problems in the above-mentioned prior art, the object of the present invention is to provide a population migration dynamics-based optimization method (Population Migration Dynamics-based Optimization, PMDO algorithm for short), this algorithm has global convergence, and is a complex optimization problem, especially is a solution to high-dimensional optimization problems that provides a solution

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  • Population migration dynamics-based optimization method
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  • Population migration dynamics-based optimization method

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Embodiment Construction

[0163] The present invention will be described in further detail below in conjunction with specific examples.

[0164] (1) Determine the actual optimization problem to be solved, and transform the problem into the standard form described by formula (1). which is

[0165] (2) If the actual optimization problem is to find max f(X), change it to min-f(X).

[0166] (3) Compress and adjust all the variable intervals of the actual optimization problem, namely

[0167] 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.

[0168] 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.

[0169] if-b i ≤x i ≤a i , a i ≥0,b i ≥0, i=1,...

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Abstract

The invention discloses a population migration dynamics-based optimization method-PMDO algorithm. Based on a population migration dynamics theory, the population migration dynamics-based optimization method comprises the following steps: supposing that multiple habitats exist in an ecosystem, each habitat has specific unchanged living conditions and different biological populations live in each habitat; within a cycle, competing at random, benefiting mutually, catching food-being caught as food, fusing, learning and doing leisure activities by the populations according to the living conditions of the respective habitats; and after one cycle, deciding whether to migrate or not based on the quality of the respective habitats by some populations, namely, if there are multiple better habitats, then randomly selecting one habitat for migration, otherwise not migrating. Through the activities, PSI indexes of all populations are kept unchanged, or become better, thus ensuring global convergence of the whole algorithm; and the population migration dynamics-based optimization method has the characteristics of strong searching capability and the global convergence, and provides a solution for a high-dimensional optimization problem.

Description

technical field [0001] The invention relates to an intelligent optimization algorithm, in particular to a population migration dynamics optimization method—PMDO algorithm. Background technique [0002] Consider general optimization problems [0003] min f(X) [0004] s . t . g i ( X ) ≥ 0 , i = 1,2 , · · · , I h i ( X ) ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F19/00
Inventor 黄光球陆秋琴
Owner XI'AN UNIVERSITY OF ARCHITECTURE AND TECHNOLOGY
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