Research Article
Design and Maintenance Optimisation of Substation Automation Systems: A Multiobjectivisation Approach Exploration
Table 3
Statistical analysis (2-objective problem) of hypervolume indicator.
| | ID | Method | Encoding | Mutation | Average | Median | Maximum | Minimum | Standard deviation | Average rank (Friedman test) |
| | 1 | NSGA-II | Real | 0.5 | 3.4404 | 3.4340 | 3.5192 | 3.4044 | 0.0258 | 7.5714 | | 2 | NSGA-II | Real | 0.1 | 3.4495 | 3.4456 | 3.4898 | 3.4141 | 0.0192 | 4.7619 | | 3 | NSGA-II | Real | 1.5 | 3.4439 | 3.4356 | 3.4786 | 3.4160 | 0.0189 | 6.0952 | | 4 | NSGA-II | Binary | 0.5 | 3.4393 | 3.4428 | 3.4645 | 3.4107 | 0.0126 | 6.1428 | | 5 | NSGA-II | Binary | 1.0 | 3.4397 | 3.4370 | 3.4746 | 3.4119 | 0.0149 | 6.8095 | | 6 | NSGA-II | Binary | 1.5 | 3.4332 | 3.4340 | 3.4674 | 3.4064 | 0.0149 | 7.8571 | | 7 | SMS-EMOA | Real | 0.5 | 3.4471 | 3.4474 | 3.4800 | 3.4166 | 0.0150 | 5.3333 | | 8 | SMS-EMOA | Real | 1.0 | 3.4391 | 3.4364 | 3.4812 | 3.4125 | 0.0163 | 6.7142 | | 9 | SMS-EMOA | Real | 1.5 | 3.4389 | 3.4421 | 3.4635 | 3.4111 | 0.0144 | 6.6666 | | 10 | SMS-EMOA | Binary | 0.5 | 3.4414 | 3.4368 | 3.4916 | 3.4075 | 0.0213 | 7.0952 | | 11 | SMS-EMOA | Binary | 1.0 | 3.4413 | 3.4391 | 3.4824 | 3.4095 | 0.0193 | 6.4761 | | 12 | SMS-EMOA | Binary | 1.5 | 3.4401 | 3.4373 | 3.4747 | 3.4215 | 0.0145 | 6.4761 |
| | value | 0.2787 |
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Best values (column-wise), in bold type.
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