一种求解地图颜色问题的遗传算法

Anand Kumar
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引用次数: 3

摘要

本文提出了一种解决“地图颜色问题”的遗传算法。地图颜色问题指出,给定任何被划分为区域的平面,比如一个国家的政治地图,这些区域可以用两种颜色着色,这样就不会有两个相邻的区域得到相同的颜色。本文采用遗传算法对这类问题进行求解。遗传算法作为传统启发式算法的一种替代方法,在优化问题中得到了广泛的应用。这是一个吸引人的想法,进化的自然概念可以被借用为一种计算优化技术,其结果是“遗传算法”,这是基于“达尔文”给出的“适者生存”的原则。我试图证明遗传算法是传统确定性方法无法提供最佳解决方案的问题的替代解决方案。
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A Novel Genetic Algorithm Approach to Solve Map Colour Problem
This paper presents a genetic algorithm approach to solve the "map colour problem". The map colour problem states that given any plane separated into regions, such as a political map of the states of a country, the regions may be coloured using two colours in such a way that no two adjacent regions receive the same colour. In this paper I have used genetic algorithm to find the solution for this kind of problem. Genetic algorithms are being used extensively in optimization problem as an alternative to traditional heuristics. It is an appealing idea that the natural concepts of evolution may be borrowed for use as a computational optimization technique and the result is "genetic algorithm", which is based on the principle "survival of the fittest" given by "Darvin".. I have tried to show that genetic algorithm is an alternative solution for those problems where conventional deterministic methods are not able to provide the optimal solution.
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