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arXiv 1406.2613cs.NE
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基于仿真的多目标遗传算法硬度评估

Simulation based Hardness Evaluation of a Multi-Objective Genetic Algorithm

Shahab U. Ansari, Sameen Mansha

摘要:

研究表明,多目标优化问题是一个困难的问题。这样的问题要么需要更长的时间来收敛到最优解,要么可能根本不收敛。最近,一些研究人员声称,增加多目标问题的难度的真正罪魁祸首不是目标本身的数量,而是解决方案集的大小增加,解决方案的不相容性,以及由于局部最大值数量增加而导致的找到次优解的概率增加。在这项工作中,我们已经建立了一个简单的框架来评估多目标遗传算法(MOGA)的硬度。该算法是专为一个祈祷捕食者游戏,玩家是通过几代人来提高其寿命,具有挑战性的水平和游戏舞台的可用性。一组严格的实验进行量化的硬度在进化方面的目标函数的数量不断增加。在遗传算法中,每一代采用等概率交叉和变异产生后代。首先,通过基于适应度(成本)函数对竞争玩家进行排名来单独地最大化每个目标函数,然后通过排名来最大化多目标成本函数(各个成本函数的总和),并且也不进行排名,其中主导解决方案也允许演变。

英文摘要:

Studies have shown that multi-objective optimization problems are hard problems. Such problems either require longer time to converge to an optimum solution, or may not converge at all. Recently some researchers have claimed that real culprit for increasing the hardness of multi-objective problems are not the number of objectives themselves rather it is the increased size of solution set, incompatibility of solutions, and high probability of finding suboptimal solution due to increased number of local maxima. In this work, we have setup a simple framework for the evaluation of hardness of multi-objective genetic algorithms (MOGA). The algorithm is designed for a pray-predator game where a player is to improve its lifespan, challenging level and usability of the game arena through number of generations. A rigorous set of experiments are performed for quantifying the hardness in terms of evolution for increasing number of objective functions. In genetic algorithm, crossover and mutation with equal probability are applied to create offspring in each generation. First, each objective function is maximized individually by ranking the competing players on the basis of the fitness (cost) function, and then a multi-objective cost function (sum of individual cost functions) is maximized with ranking, and also without ranking where dominated solutions are also allowed to evolve.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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