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Numerical optimization method based on cooperative group decision mechanism

A numerical optimization and group technology, applied in the direction of electrical digital data processing, special data processing applications, instruments, etc., can solve the problems of numerical optimization method optimization performance depends on position distribution, individual maximum movement speed is limited, etc.

Inactive Publication Date: 2014-09-10
HANGZHOU DIANZI UNIV
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Problems solved by technology

However, there is a class of numerical optimization problems, the characteristics of which require that the initial position of the group in the numerical optimization algorithm be located in a small space, and the maximum movement speed of the individuals in the group is limited
In this case, current numerical optimization methods cannot obtain good optimization results because the optimization performance of numerical optimization methods mainly depends on the position distribution of the population

Method used

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  • Numerical optimization method based on cooperative group decision mechanism
  • Numerical optimization method based on cooperative group decision mechanism
  • Numerical optimization method based on cooperative group decision mechanism

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Embodiment Construction

[0057] Taking the benchmark function Shifted Sphere as an example, it is necessary to find the minimum value of the function, and the boundary range of the function is [-100, 100] m , during initialization, the initialization range of the individual position is limited to [-100, -80] m , the speed range is limited to [-1.5, 1.5] m , m is the dimension of the optimization variable, where m=2.

[0058] Specific steps are as follows:

[0059] The first step is to initialize the method parameters:

[0060] a. The number of individuals in the initialization group is n=20.

[0061] b. Randomly initialize the position of the individual in the group in [-100, -80] ; Randomly initialize speed in [-1.5, 1.5] , i=1, 2, ..., 20, j=1, 2, initialize

[0062] c. Initialize the number of neighbors of the individual N=7. Calculate the neighbor set of the i-th individual based on the number of neighbors i=1, 2, . . . , 20.

[0063] d. In the initial group cooperative decision-maki...

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Abstract

The invention relates to a numerical optimization method based on a cooperative group decision mechanism. The method includes: first, establishing an individual position coordination item mainly used for keeping spacing of individuals and allowing a group to explore large search space; second, establishing an individual speed coordination item, mainly whereby uniform speed of the individuals is kept, the speeds of the individuals are coordinated in the speed uniformization process and the direction of the uniform speed accordingly can point to a position of a global optimum; third, establishing a direction coordination item mainly used for keeping motion directions of the individuals and motion directions obtained by individual decisions uniform. The motion directions obtained by the individual decisions are obtained in such a manner that the individuals judge the direction of a global optimal position by making full use of ambient information. The numerical optimization method has the advantages that problems in the existing numerical optimization method can be solved and good optimization results can also be obtained with regard to other types of numerical optimization problems.

Description

technical field [0001] The invention belongs to the field of computational intelligence and relates to a numerical optimization method for group cooperative decision-making. Background technique [0002] Numerical optimization problems are a general term for a class of real-world optimization problems. The study of numerical optimization problems has important economic and social significance for human society. For example, the problem of locating dangerous odor sources can be regarded as a type of numerical optimization problem. The goal of optimization is Finding the location of the odor source with the maximum concentration information is of great social significance to the solution of this problem; in addition, in the workshop process scheduling problem, the goal of optimization is how to find the optimal order of the process, so that the required waiting time is minimized, for The solution to this problem will produce greater economic benefits and so on. However, there...

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Application Information

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IPC IPC(8): G06F19/00
Inventor 吕强王平张波涛谢小高王坚
Owner HANGZHOU DIANZI UNIV
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