NSGA-III

代码说明：

  测试可以跑，根据自己情况修改下函数即可. NSGA-III 首先定义一组参考点。然后随机生成含有 N 个（原文献说最好与参考点个数相同）个体的初始种群，其中 N 是种群大小。接下来，算法进行迭代直至终止条件满足。在第 t 代，算法在当前种群 Pt的基础上，通过随机选择，模拟两点交叉（Simulated Binary Crossover，SBX）和多项式变异 产生子代种群 Qt。Pt和 Qt的大小均为 N。因此，两个种群 Pt和 Qt合并会形成种群大小为 2N 的新的种群 Rt=Pt∪Qt。 为了从种群 Rt中选择最好的 N 个解进入下一代，首先利用基于Pareto支配的非支配排序将 Rt分为若干不同的非支配层（F1，F2等等）。然后，算法构建一个新的种群St，构建方法是从 F1开始，逐次将各非支配层的解加入到 St，直至 St的大小等于 N，或首次大于 N。假设最后可以接受的非支配层是 L层，那么在 L+ 1 层以及之后的那些解就被丢弃掉了，且 St FL中的解已经确定被选择作为 Pt+1中的解。Pt+1中余下的个体需要从 FL中选取，选择的依据是要使种群在目标空间中具有理想的多样性。(The test can run and modify the function according to its own situation. NSGA-III first defines a set of reference points. Then the initial population containing N individuals (preferably the same number of reference points as the original literature) was randomly generated, where N was the size of the population. Next, the algorithm is iterated until the termination condition is satisfied. On the basis of current population Pt, the algorithm simulates two-point crossover (SBX) and polynomial mutation to produce offspring population Qt by random selection.)

文件列表：

YPEA126 NSGA-III\license.txt, 1350 , 2016-12-12
YPEA126 NSGA-III\NSGA-III\AssociateToReferencePoint.m, 1363 , 2016-12-12
YPEA126 NSGA-III\NSGA-III\Crossover.m, 937 , 2016-12-12
YPEA126 NSGA-III\NSGA-III\Dominates.m, 956 , 2016-12-12
YPEA126 NSGA-III\NSGA-III\GenerateReferencePoints.m, 1321 , 2016-12-12
YPEA126 NSGA-III\NSGA-III\license.txt, 1350 , 2016-12-12
YPEA126 NSGA-III\NSGA-III\main.m, 800 , 2016-12-12
YPEA126 NSGA-III\NSGA-III\MOP2.m, 2613 , 2018-06-29
YPEA126 NSGA-III\NSGA-III\Mutate.m, 970 , 2016-12-12
YPEA126 NSGA-III\NSGA-III\NonDominatedSorting.m, 2251 , 2016-12-12
YPEA126 NSGA-III\NSGA-III\NormalizePopulation.m, 1291 , 2016-12-12
YPEA126 NSGA-III\NSGA-III\nsga3.m, 3873 , 2018-06-29
YPEA126 NSGA-III\NSGA-III\PerformScalarizing.m, 1628 , 2016-12-12
YPEA126 NSGA-III\NSGA-III\PlotCosts.m, 1023 , 2018-06-30
YPEA126 NSGA-III\NSGA-III\SortAndSelectPopulation.m, 2347 , 2016-12-12
YPEA126 NSGA-III\NSGA-III\UpdateIdealPoint.m, 1068 , 2016-12-12
YPEA126 NSGA-III\NSGA-III\wifi_through.m, 735 , 2018-06-29
YPEA126 NSGA-III\NSGA-III\www.yarpiz.com.url, 121 , 2015-08-23
YPEA126 NSGA-III\www.yarpiz.com.url, 121 , 2015-08-23
YPEA126 NSGA-III\NSGA-III, 0 , 2018-07-01
YPEA126 NSGA-III, 0 , 2017-09-12