\ Equation counts \ Total E G L N X C B \ 90 10 24 56 0 0 0 0 \ \ Variable counts \ x b i s1s s2s sc si \ Total cont binary integer sos1 sos2 scont sint \ 52 20 32 0 0 0 0 0 \ \ Nonzero counts \ Total const NL DLL \ 284 220 64 0 \ Minimize obj: 0 x1 + 0 x2 + 0 x3 + 0 x4 + 0 x5 + 0 x6 + 0 x7 + 0 x8 + 0 b9 + 0 b10 + 0 b11 + 0 b12 + 0 b13 + 0 b14 + 0 b15 + 0 b16 + 0 b17 + 0 b18 + 0 b19 + 0 b20 + 0 b21 + 0 b22 + 0 b23 + 0 b24 + 0 b25 + 0 b26 + 0 b27 + 0 b28 + 0 b29 + 0 b30 + 0 b31 + 0 b32 + 0 b33 + 0 b34 + 0 b35 + 0 b36 + 0 b37 + 0 b38 + 0 b39 + 0 b40 + 300 x41 + 2.4e2 x42 + 2.1e2 x43 + 100 x44 + 1.5e2 x45 + 1.2e2 x46 + 300 x47 + 2.4e2 x48 + 2.1e2 x49 + 100 x50 + 1.5e2 x51 + 1.2e2 x52 Subject To e2: - x1 + x2 + x41 >= 0 e3: - x1 + x3 + x42 >= 0 e4: - x1 + x4 + x43 >= 0 e5: - x2 + x3 + x44 >= 0 e6: - x2 + x4 + x45 >= 0 e7: - x3 + x4 + x46 >= 0 e8: x1 - x2 + x41 >= 0 e9: x1 - x3 + x42 >= 0 e10: x1 - x4 + x43 >= 0 e11: x2 - x3 + x44 >= 0 e12: x2 - x4 + x45 >= 0 e13: x3 - x4 + x46 >= 0 e14: - x5 + x6 + x47 >= 0 e15: - x5 + x7 + x48 >= 0 e16: - x5 + x8 + x49 >= 0 e17: - x6 + x7 + x50 >= 0 e18: - x6 + x8 + x51 >= 0 e19: - x7 + x8 + x52 >= 0 e20: x5 - x6 + x47 >= 0 e21: x5 - x7 + x48 >= 0 e22: x5 - x8 + x49 >= 0 e23: x6 - x7 + x50 >= 0 e24: x6 - x8 + x51 >= 0 e25: x7 - x8 + x52 >= 0 e26: x1 - x2 + 51 b9 <= 45 e27: x1 - x3 + 51 b10 <= 47 e28: x1 - x4 + 51 b11 <= 47.5 e29: x2 - x3 + 51 b12 <= 46 e30: x2 - x4 + 51 b13 <= 46.5 e31: x3 - x4 + 51 b14 <= 48.5 e32: - x1 + x2 + 51 b15 <= 45 e33: - x1 + x3 + 51 b16 <= 47 e34: - x1 + x4 + 51 b17 <= 47.5 e35: - x2 + x3 + 51 b18 <= 46 e36: - x2 + x4 + 51 b19 <= 46.5 e37: - x3 + x4 + 51 b20 <= 48.5 e38: x5 - x6 + 86 b21 <= 80.5 e39: x5 - x7 + 86 b22 <= 81.5 e40: x5 - x8 + 86 b23 <= 81.5 e41: x6 - x7 + 86 b24 <= 82 e42: x6 - x8 + 86 b25 <= 82 e43: x7 - x8 + 86 b26 <= 83 e44: - x5 + x6 + 86 b27 <= 80.5 e45: - x5 + x7 + 86 b28 <= 81.5 e46: - x5 + x8 + 86 b29 <= 81.5 e47: - x6 + x7 + 86 b30 <= 82 e48: - x6 + x8 + 86 b31 <= 82 e49: - x7 + x8 + 86 b32 <= 83 e50: b9 + b15 + b21 + b27 = 1 e51: b10 + b16 + b22 + b28 = 1 e52: b11 + b17 + b23 + b29 = 1 e53: b12 + b18 + b24 + b30 = 1 e54: b13 + b19 + b25 + b31 = 1 e55: b14 + b20 + b26 + b32 = 1 e56: - 35 x1 - 14 x5 + 7964 b33 + [ x1^2 + x5^2 ] <= 7644.75 e57: - 37 x2 - 15 x6 + 7808 b34 + [ x2^2 + x6^2 ] <= 7445.5 e58: - 33 x3 - 17 x7 + 8128 b35 + [ x3^2 + x7^2 ] <= 7819.5 e59: - 32 x4 - 17 x8 + 8213 b36 + [ x4^2 + x8^2 ] <= 7920.75 e60: - 105 x1 - 154 x5 + 6481 b37 + [ x1^2 + x5^2 ] <= -2104.25 e61: - 107 x2 - 155 x6 + 6622 b38 + [ x2^2 + x6^2 ] <= -2146.5 e62: - 103 x3 - 157 x7 + 6951.25 b39 + [ x3^2 + x7^2 ] <= -1763.25 e63: - 102 x4 - 157 x8 + 6.91e3 b40 + [ x4^2 + x8^2 ] <= -1753.25 e64: - 35 x1 - 26 x5 + 7.04e3 b33 + [ x1^2 + x5^2 ] <= 6600.75 e65: - 37 x2 - 25 x6 + 7033 b34 + [ x2^2 + x6^2 ] <= 6570.5 e66: - 33 x3 - 23 x7 + 7657 b35 + [ x3^2 + x7^2 ] <= 7288.5 e67: - 32 x4 - 23 x8 + 7742 b36 + [ x4^2 + x8^2 ] <= 7389.75 e68: - 105 x1 - 166 x5 + 7357 b37 + [ x1^2 + x5^2 ] <= -2188.25 e69: - 107 x2 - 165 x6 + 7357 b38 + [ x2^2 + x6^2 ] <= -2211.5 e70: - 103 x3 - 163 x7 + 7398.25 b39 + [ x3^2 + x7^2 ] <= -1796.25 e71: - 102 x4 - 163 x8 + 7357 b40 + [ x4^2 + x8^2 ] <= -1786.25 e72: - 25 x1 - 14 x5 + 8389 b33 + [ x1^2 + x5^2 ] <= 8219.75 e73: - 23 x2 - 15 x6 + 8389 b34 + [ x2^2 + x6^2 ] <= 8236.5 e74: - 27 x3 - 17 x7 + 8389 b35 + [ x3^2 + x7^2 ] <= 8170.5 e75: - 28 x4 - 17 x8 + 8389 b36 + [ x4^2 + x8^2 ] <= 8156.75 e76: - 95 x1 - 154 x5 + 6096 b37 + [ x1^2 + x5^2 ] <= -1989.25 e77: - 93 x2 - 155 x6 + 6097 b38 + [ x2^2 + x6^2 ] <= -1971.5 e78: - 97 x3 - 157 x7 + 6711.25 b39 + [ x3^2 + x7^2 ] <= -1703.25 e79: - 98 x4 - 157 x8 + 6.75e3 b40 + [ x4^2 + x8^2 ] <= -1713.25 e80: - 25 x1 - 26 x5 + 7465 b33 + [ x1^2 + x5^2 ] <= 7175.75 e81: - 23 x2 - 25 x6 + 7614 b34 + [ x2^2 + x6^2 ] <= 7361.5 e82: - 27 x3 - 23 x7 + 7918 b35 + [ x3^2 + x7^2 ] <= 7639.5 e83: - 28 x4 - 23 x8 + 7918 b36 + [ x4^2 + x8^2 ] <= 7625.75 e84: - 95 x1 - 166 x5 + 6972 b37 + [ x1^2 + x5^2 ] <= -2073.25 e85: - 93 x2 - 165 x6 + 6832 b38 + [ x2^2 + x6^2 ] <= -2036.5 e86: - 97 x3 - 163 x7 + 7158.25 b39 + [ x3^2 + x7^2 ] <= -1736.25 e87: - 98 x4 - 163 x8 + 7197 b40 + [ x4^2 + x8^2 ] <= -1746.25 e88: b33 + b37 = 1 e89: b34 + b38 = 1 e90: b35 + b39 = 1 e91: b36 + b40 = 1 Bounds 11.5 <= x1 <= 57.5 12.5 <= x2 <= 56.5 10.5 <= x3 <= 58.5 10 <= x4 <= 59 7 <= x5 <= 87 6.5 <= x6 <= 87.5 5.5 <= x7 <= 88.5 5.5 <= x8 <= 88.5 Binary b9 b10 b11 b12 b13 b14 b15 b16 b17 b18 b19 b20 b21 b22 b23 b24 b25 b26 b27 b28 b29 b30 b31 b32 b33 b34 b35 b36 b37 b38 b39 b40 End