linear_bilevel

Datasets

anandalingham_white_1990.json

Dimension

{ "x": 1, "y": 1, "F": 1, "G": 1, "H": 0, "f": 1, "g": 6, "h": 0 }

Solution

{ "optimality": "global", "x": [16], "y": [11], "F": -49, "f": 17 }

bard_1984a.json

Dimension

{ "x": 1, "y": 1, "F": 1, "G": 1, "H": 0, "f": 1, "g": 5, "h": 0 }

Solution

{ "optimality": "global", "x": [0.8888888888888888], "y": [2.2222222222222223], "F": 3.111111111111111, "f": -6.666666666666667 }

bard_1984b.json

Dimension

{ "x": 1, "y": 1, "F": 1, "G": 1, "H": 0, "f": 1, "g": 5, "h": 0 }

Solution

{ "optimality": "best known", "x": [7.2], "y": [1.6], "F": -37.6, "f": 1.6 }

bard_1991_ex2.json

Dimension

{ "x": 1, "y": 2, "F": 1, "G": 1, "H": 0, "f": 1, "g": 5, "h": 0 }

Solution

{ "optimality": "global", "x": [0], "y": [0,1], "F": -1, "f": -1 }

bard_falk_1982_ex2.json

Dimension

{ "x": 2, "y": 2, "F": 1, "G": 2, "H": 0, "f": 1, "g": 5, "h": 0 }

Solution

{ "optimality": "global", "x": [2,0], "y": [1.5,0], "F": -3.25, "f": -4 }

ben_ayed_blair_1990a.json

Dimension

{ "x": 1, "y": 2, "F": 1, "G": 2, "H": 0, "f": 1, "g": 4, "h": 0 }

Solution

{ "optimality": "global", "x": [1], "y": [0,1], "F": -2.5, "f": -5 }

ben_ayed_blair_1990b.json

Dimension

{ "x": 1, "y": 1, "F": 1, "G": 1, "H": 0, "f": 1, "g": 4, "h": 0 }

Solution

{ "optimality": "global", "x": [1], "y": [5], "F": -6, "f": 5 }

bialas_karwan_1984a.json

Dimension

{ "x": 1, "y": 2, "F": 1, "G": 1, "H": 0, "f": 1, "g": 7, "h": 0 }

Solution

{ "optimality": "global", "x": [1.5], "y": [1,0.5], "F": -2, "f": -0.5 }

bialas_karwan_1984b.json

Dimension

{ "x": 1, "y": 1, "F": 1, "G": 1, "H": 0, "f": 1, "g": 6, "h": 0 }

Solution

{ "optimality": "global", "x": [16], "y": [11], "F": -11, "f": 11 }

candler_townsley_1982.json

Dimension

{ "x": 2, "y": 3, "F": 1, "G": 2, "H": 0, "f": 1, "g": 6, "h": 0 }

Solution

{ "optimality": "global", "x": [0,0.9], "y": [0,0.6,0.4], "F": -29.2, "f": 3.2 }

clark_westerberg_1988.json

Dimension

{ "x": 1, "y": 1, "F": 1, "G": 0, "H": 0, "f": 1, "g": 3, "h": 0 }

Solution

{ "optimality": "global", "x": [19], "y": [14], "F": -37, "f": 14 }

clark_westerberg_1990b.json

Dimension

{ "x": 1, "y": 2, "F": 1, "G": 2, "H": 0, "f": 1, "g": 5, "h": 0 }

Solution

{ "optimality": "best known", "x": [5], "y": [4,2], "F": -13, "f": -4 }

glackin_et_al_2009.json

Dimension

{ "x": 2, "y": 1, "F": 1, "G": 3, "H": 0, "f": 1, "g": 3, "h": 0 }

Solution

{ "optimality": "global", "x": [1,2], "y": [0] }

haurie_savard_white_1990.json

Dimension

{ "x": 1, "y": 1, "F": 1, "G": 0, "H": 0, "f": 1, "g": 4, "h": 0 }

Solution

{ "optimality": "global", "x": [12], "y": [3], "F": 27, "f": -3 }

hu_huang_zhang_2009.json

Dimension

{ "x": 1, "y": 2, "F": 1, "G": 1, "H": 0, "f": 1, "g": 5, "h": 0 }

Solution

{ "optimality": "global", "x": [1.8888888888888888], "y": [0.8888888888888888,0], "F": -8.444444444444445, "f": -4.555555555555555 }

hypercube_10.json

Dimension

{ "x": 10, "y": 10, "F": 1, "G": 0, "H": 0, "f": 1, "g": 11, "h": 0 }

Solution

{ "optimality": "global", "x": [1,1,1,1,1,1,1,1,1,1], "y": [1,1,1,1,1,1,1,1,1,1], "F": 10, "f": 10 }

hypercube_100.json

Dimension

{ "x": 100, "y": 100, "F": 1, "G": 0, "H": 0, "f": 1, "g": 101, "h": 0 }

Solution

{ "optimality": "global", "x": [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1], "y": [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1], "F": 100, "f": 100 }

hypercube_3.json

Dimension

{ "x": 3, "y": 3, "F": 1, "G": 0, "H": 0, "f": 1, "g": 4, "h": 0 }

Solution

{ "optimality": "global", "x": [1,1,1], "y": [1,1,1], "F": 3, "f": 3 }

hypercube_50.json

Dimension

{ "x": 50, "y": 50, "F": 1, "G": 0, "H": 0, "f": 1, "g": 51, "h": 0 }

Solution

{ "optimality": "global", "x": [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1], "y": [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1], "F": 50, "f": 50 }

lan_wen_shih_lee_2007.json

Dimension

{ "x": 1, "y": 1, "F": 1, "G": 1, "H": 0, "f": 1, "g": 7, "h": 0 }

Solution

{ "optimality": "best known", "x": [17.45], "y": [10.908], "F": -85.088, "f": 50.174 }

liu_hart_1994.json

Dimension

{ "x": 1, "y": 1, "F": 1, "G": 1, "H": 0, "f": 1, "g": 4, "h": 0 }

Solution

{ "optimality": "global", "x": [4], "y": [4], "F": -16, "f": 4 }

mersha_dempe_2006_ex1.json

Dimension

{ "x": 1, "y": 1, "F": 1, "G": 1, "H": 0, "f": 1, "g": 5, "h": 0 }

Solution

{ "optimality": "best known", "x": [9], "y": [6], "F": -39, "f": 6 }

mersha_dempe_2006_ex2.json

Dimension

{ "x": 1, "y": 1, "F": 1, "G": 2, "H": 0, "f": 1, "g": 2, "h": 0 }

Solution

{ "optimality": "global", "x": [8], "y": [6], "F": -20, "f": -6 }

tuy_et_al_1993.json

Dimension

{ "x": 2, "y": 2, "F": 1, "G": 3, "H": 0, "f": 1, "g": 4, "h": 0 }

Solution

{ "optimality": "global", "x": [2,0], "y": [1.5,0], "F": -3.25, "f": -6 }

tuy_et_al_1994.json

Dimension

{ "x": 2, "y": 2, "F": 1, "G": 3, "H": 0, "f": 1, "g": 3, "h": 0 }

Solution

{ "optimality": "global", "x": [0,3], "y": [0,0], "F": 6, "f": 0 }

tuy_et_al_2007_ex3.json

Dimension

{ "x": 10, "y": 6, "F": 1, "G": 22, "H": 0, "f": 1, "g": 19, "h": 0 }

Solution

{ "optimality": "infeasible", "x": [0,8.170692,10,0,7.27894,3.042311,0,10,0.001982,9.989153], "y": [3.10128,10,10,10,0,9.846133], "F": -467.461261, "f": -11.619362 }

visweswaran_et_al_1996.json

Dimension

{ "x": 1, "y": 1, "F": 1, "G": 1, "H": 0, "f": 1, "g": 5, "h": 0 }

Solution

{ "optimality": "best known", "x": [0.8888888888888888], "y": [2.2222222222222223], "F": 3.111111111111, "f": -6.666666666666 }

wang_jiao_li_2005.json

Dimension

{ "x": 1, "y": 2, "F": 1, "G": 2, "H": 0, "f": 1, "g": 4, "h": 0 }

Solution

{ "optimality": "best known", "x": [0], "y": [1,0], "F": -1000, "f": -1 }