The results of the MOGA, MOFA, and MODFA are presented in Table 4, from which it follows that as the value of *Rate* decreases, the value of *HV* improves for each method. This means that the performance of the OP improves. The value of increases and worsens when *Rate* decreases. A key realization is that it is not proper to compare the performance of the algorithms only based on the values of Pareto performance criteria. The OP shown in Figure 7(c) dominates the other OPs, and the value of *HV* measures closeness and diversity, whereas only measures the spread of solutions. Therefore, it can be asserted that the performance of the MODFA in solving the multi-objective multi-reservoir problem is superior when *Rate* is equal to 0.5.

Table 4

Rate . | Pareto performance criteria . | Algorithm . | ||
---|---|---|---|---|

MOGA . | MOFA . | MODFA . | ||

1 | 0 | 0 | 0 | |

0.0007 | 0.0007 | 0.0007 | ||

0.75 | 0.0332 | 0.0065 | 0.0381 | |

0.0129 | 0.0023 | 0.0138 | ||

0.5 | 0.0066 | 0.0127 | 0.0132 | |

0.0140 | 0.0311 | 0.0145 |

Rate . | Pareto performance criteria . | Algorithm . | ||
---|---|---|---|---|

MOGA . | MOFA . | MODFA . | ||

1 | 0 | 0 | 0 | |

0.0007 | 0.0007 | 0.0007 | ||

0.75 | 0.0332 | 0.0065 | 0.0381 | |

0.0129 | 0.0023 | 0.0138 | ||

0.5 | 0.0066 | 0.0127 | 0.0132 | |

0.0140 | 0.0311 | 0.0145 |

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