Data interpolation is a fundamental data processing tool in scientific studies and engineering applications. However, when interpolating data points on an equidistant grid using polynomials, the so-called Runge phenom...
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Data interpolation is a fundamental data processing tool in scientific studies and engineering applications. However, when interpolating data points on an equidistant grid using polynomials, the so-called Runge phenomenon may occur, making polynomial interpolation unreliable. Although there are some methods proposed to defeat the Runge phenomenon, it is still an open problem which parameter sequence is the globally optimal for overcoming the Runge phenomenon. In this paper, we develop an immunity genetic algorithm based method to solve this problem. Specifically, we first model the Runge-phenomenon-defeating problem as an optimization in which the objective function is the energy of the parametric curve. An immunity genetic algorithm is then devised to determine the best IGA parameter sequence, which minimizes the objective function. The resulting parametric curve overcomes the Runge phenomenon. By performing the proposed immunitygenetic searching algorithm starting with some groups of randomly generated parameter sequences, the resulted parameter sequences closely oscillate around the Chebyshev parameter sequence. Therefore, the Chebyshev parameter sequence is most likely the globally optimal sequence conquering the Runge phenomenon. (C) 2015 Elsevier Inc. All rights reserved.
In this paper we propose a novel geneticalgorithm called immunity genetic algorithm (IGA) based on stochastic crossover evolution to solve the synthesis problem of thinned arrays. Our crossover operator is a variant ...
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ISBN:
(纸本)9781424459490
In this paper we propose a novel geneticalgorithm called immunity genetic algorithm (IGA) based on stochastic crossover evolution to solve the synthesis problem of thinned arrays. Our crossover operator is a variant of the known GA operator. A new expression of the array factor for a specific number of elements N is expressed as a linear Discrete Cosine Transform (DCT). Using IGA to generate thousands of array bit patterns and the DCT to compute the fitness function will result in a very high speed computation compared to traditional computation techniques. This high performance allows us to find a good approximation of the absolute minimum SLL of synthesized thinned arrays. Simulation results of this novel array signal processing technique show the effectiveness for pattern synthesis with low SLL
For the purpose of developing an immune function on production accidents in a petrochemical enterprise, a new cultivation-evolution approach of preventive mechanism is suggested by analyzing various factors relating t...
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For the purpose of developing an immune function on production accidents in a petrochemical enterprise, a new cultivation-evolution approach of preventive mechanism is suggested by analyzing various factors relating to immune deficiency syndrome and by referring to immunity genetic algorithm and relevant concepts applied in medicine science. Accident-immunity system for highly hazardous petrochemical enterprise, which is made up of its productive system＇s Safety Organ and Safety Organization, is typically an evolution-cultivation progress for immune function, The new B immune cell is generated after several layers＇ screening, clone expanding, receptor editing, organizing in immune system of work accident in petrochemical enterprise. There is a B immune cell with high appetency and a manipulative function chain for accident-immunity. Taking the antigen of accidents in industry as the target function and the immune antibody as the solution, the authors carried out a computation diagram for prediction of appetency between the antigen and antibody.
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