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A mathematical programming problem is classified as a Bilevel Programming Problem when one of the constraints of an optimization problem is also an optimization problem. Bilevel problems occur in diverse applications, such as economics, civil engineering, and chemical engineering.

Test Problem | Description | Gams File |
---|---|---|

1 | Clark-Westerberg (1990a) | ex9.1.1.gms |

2 | Liu-Hart (1994) | ex9.1.2.gms |

3 | Candler-Townsley (1982) | ex9.1.3.gms |

4 | Clark-Westerberg (1988) | ex9.1.4.gms |

5 | Bard (1991) | ex9.1.5.gms |

6 | Anandalingam-White (1990) | ex9.1.6.gms |

7 | Bard-Falk (1982)-I | ex9.1.7.gms |

8 | Bard-Falk (1982)-II | ex9.1.8.gms |

9 | Visweswaran-et.al., (1996) | ex9.1.9.gms |

10 | Tuy-et.al., (1993) | ex9.1.10.gms |

Test Problem | Description | Gams File |
---|---|---|

1 | Convex quadratic-quadratic BLPP | ex9.2.1.gms |

2 | Shimizu-Aiyoshi (1981) | ex9.2.2.gms |

3 | Visweswaran-et.al., (1996)-I | ex9.2.3.gms |

4 | Yezza (1996)-I | ex9.2.4.gms |

5 | Clark-Westerberg (1990a) | ex9.2.5.gms |

6 | Falk-Liu (1995) | ex9.2.6.gms |

7 | Visweswaran-et.al., (1996)-II | ex9.2.7.gms |

8 | Yezza (1996)-II | ex9.2.8.gms |

9 | Bard (1991) | ex9.2.9.gms |