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Investigations of the 0/1 Multiple Knapsack Problem Using a Genetic Algorithm

机译:使用遗传算法研究0/1多背粘问题的研究

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A genetic algorithm is applied to the 0/1 multiple knapsack problem. Experiments are performed to investigate the effects of re-ordering the problem sets, and biasing the initial solution strings to increase the probability of certain items being selected. Re-ordering is based on the value/weight ratio and weight variance of the items. Experiments to bias the initial solution strings increased the probability of selecting high value/weight ratio and variance items, as well as items known to be in the optimal solution. The algorithm is tested using well-known test problems from the literature. Results of experiments show that re-ordering had limited impact on finding the optimal solution. Increasing the probability of certain items did affect the outcome of the algorithm. However, just choosing an item known to be in the optimal solution and increasing its probability of being selected did not necessarily result in the optimal solution being discovered more frequently.
机译:遗传算法应用于0/1多背裂问题。进行实验以研究重新排序问题集的效果,并偏置初始解决方案字符串以增加所选择的某些项目的概率。重新排序基于项目的值/权重比和重量方差。偏置初始解串的实验增加了选择高值/重量比和方差项目的概率,以及已知在最佳解决方案中的项目。使用来自文献的众所周知的测试问题来测试该算法。实验结果表明,重新订购对找到最佳解决方案的影响有限。增加某些物品的概率确实影响了算法的结果。然而,只需选择已知在最佳解决方案中并增加所选择的概率的项目并不一定导致最频繁地发现的最佳解决方案。

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