#  MINLP written by GAMS Convert at 01/12/18 13:33:52
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#        212        1        0      211        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        115       73       42        0        0        0        0        0
#  FX      2        2        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        869      855       14        0
# 
#  Reformulation has removed 1 variable and 1 equation


var b1 binary >= 0, <= 1;
var b2 binary >= 0, <= 1;
var b3 binary >= 0, <= 1;
var b4 binary >= 0, <= 1;
var b5 binary >= 0, <= 1;
var b6 binary >= 0, <= 1;
var b7 binary >= 0, <= 1;
var b8 binary >= 0, <= 1;
var b9 binary >= 0, <= 1;
var b10 binary >= 0, <= 1;
var b11 binary >= 0, <= 1;
var b12 binary >= 0, <= 1;
var b13 binary >= 0, <= 1;
var b14 binary >= 0, <= 1;
var b15 binary >= 0, <= 1;
var b16 binary >= 0, <= 1;
var b17 binary >= 0, <= 1;
var b18 binary >= 0, <= 1;
var b19 binary >= 0, <= 1;
var b20 binary >= 0, <= 1;
var b21 binary >= 0, <= 1;
var b22 binary >= 0, <= 1;
var b23 binary >= 0, <= 1;
var b24 binary >= 0, <= 1;
var b25 binary >= 0, <= 1;
var b26 binary >= 0, <= 1;
var b27 binary >= 0, <= 1;
var b28 binary >= 0, <= 1;
var b29 binary >= 0, <= 1;
var b30 binary >= 0, <= 1;
var b31 binary >= 0, <= 1;
var b32 binary >= 0, <= 1;
var b33 binary >= 0, <= 1;
var b34 binary >= 0, <= 1;
var b35 binary >= 0, <= 1;
var b36 binary >= 0, <= 1;
var b37 binary >= 0, <= 1;
var b38 binary >= 0, <= 1;
var b39 binary >= 0, <= 1;
var b40 binary >= 0, <= 1;
var b41 binary >= 0, <= 1;
var b42 binary >= 0, <= 1;
var x44;
var x45;
var x46;
var x47;
var x48;
var x49;
var x50;
var x51;
var x52;
var x53;
var x54;
var x55;
var x56;
var x57;
var x58;
var x59;
var x60;
var x61;
var x62;
var x63;
var x64;
var x65;
var x66;
var x67;
var x68;
var x69;
var x70;
var x71;
var x72;
var x73;
var x74;
var x75;
var x76;
var x77;
var x78;
var x79;
var x80;
var x81;
var x82;
var x83;
var x84;
var x85;
var x86 := 1.7889, >= 1.7889, <= 8.54;
var x87 := 1.7889, >= 1.7889, <= 8.54;
var x88 := 1.7889, >= 1.7889, <= 8.54;
var x89 := 2.7692, >= 2.7692, <= 8.5399;
var x90 := 1.3416, >= 1.3416, <= 6.7082;
var x91 := 1.3416, >= 1.3416, <= 6.7082;
var x92 := 1.3416, >= 1.3416, <= 6.7082;
var x93 := 8.54, >= 8.54, <= 8.54;
var x94 := 1.8735, >= 1.8735, <= 8.944;
var x95 := 1.8735, >= 1.8735, <= 8.944;
var x96 := 1.8735, >= 1.8735, <= 8.944;
var x97 := 4.2155, >= 4.2155, <= 13;
var x98 := 1.3416, >= 1.3416, <= 6.7082;
var x99 := 1.3416, >= 1.3416, <= 6.7082;
var x100 := 1.3416, >= 1.3416, <= 6.7082;
var x101 := 13, >= 13, <= 13;
var x102;
var x103;
var x104;
var x105;
var x106;
var x107;
var x108;
var x109;
var x110;
var x111;
var x112;
var x113;
var x114;
var x115;

minimize obj:    x44 + x45 + x56 + x57 + x66 + x67 + x74 + x75 + x80 + x81
     + x84 + x85;

subject to

e2:    x102 - x103 <= 0;

e3:    0.5*x86 - x93 + x102 <= 0;

e4:    0.5*x86 - x102 <= 0;

e5:    0.5*x94 - x101 + x109 <= 0;

e6:    0.5*x94 - x109 <= 0;

e7:    0.5*x87 - x93 + x103 <= 0;

e8:    0.5*x87 - x103 <= 0;

e9:    0.5*x95 - x101 + x110 <= 0;

e10:    0.5*x95 - x110 <= 0;

e11:    0.5*x88 - x93 + x104 <= 0;

e12:    0.5*x88 - x104 <= 0;

e13:    0.5*x96 - x101 + x111 <= 0;

e14:    0.5*x96 - x111 <= 0;

e15:    0.5*x89 - x93 + x105 <= 0;

e16:    0.5*x89 - x105 <= 0;

e17:    0.5*x97 - x101 + x112 <= 0;

e18:    0.5*x97 - x112 <= 0;

e19:    0.5*x90 - x93 + x106 <= 0;

e20:    0.5*x90 - x106 <= 0;

e21:    0.5*x98 - x101 + x113 <= 0;

e22:    0.5*x98 - x113 <= 0;

e23:    0.5*x91 - x93 + x107 <= 0;

e24:    0.5*x91 - x107 <= 0;

e25:    0.5*x99 - x101 + x114 <= 0;

e26:    0.5*x99 - x114 <= 0;

e27:    0.5*x92 - x93 + x108 <= 0;

e28:    0.5*x92 - x108 <= 0;

e29:    0.5*x100 - x101 + x115 <= 0;

e30:    0.5*x100 - x115 <= 0;

e31:  - x44 + x102 - x103 <= 0;

e32:  - x44 - x102 + x103 <= 0;

e33:  - x45 + x109 - x110 <= 0;

e34:  - x45 - x109 + x110 <= 0;

e35:  - 8.54*b1 - 8.54*b2 + 0.5*x86 + 0.5*x87 - x102 + x103 <= 0;

e36:  - 8.54*b1 + 8.54*b2 + 0.5*x86 + 0.5*x87 + x102 - x103 <= 8.54;

e37:    13*b1 - 13*b2 + 0.5*x94 + 0.5*x95 - x109 + x110 <= 13;

e38:    13*b1 + 13*b2 + 0.5*x94 + 0.5*x95 + x109 - x110 <= 26;

e39:  - x46 + x102 - x104 <= 0;

e40:  - x46 - x102 + x104 <= 0;

e41:  - x47 + x109 - x111 <= 0;

e42:  - x47 - x109 + x111 <= 0;

e43:  - 8.54*b3 - 8.54*b4 + 0.5*x86 + 0.5*x88 - x102 + x104 <= 0;

e44:  - 8.54*b3 + 8.54*b4 + 0.5*x86 + 0.5*x88 + x102 - x104 <= 8.54;

e45:    13*b3 - 13*b4 + 0.5*x94 + 0.5*x96 - x109 + x111 <= 13;

e46:    13*b3 + 13*b4 + 0.5*x94 + 0.5*x96 + x109 - x111 <= 26;

e47:  - x48 + x102 - x105 <= 0;

e48:  - x48 - x102 + x105 <= 0;

e49:  - x49 + x109 - x112 <= 0;

e50:  - x49 - x109 + x112 <= 0;

e51:  - 8.54*b5 - 8.54*b6 + 0.5*x86 + 0.5*x89 - x102 + x105 <= 0;

e52:  - 8.54*b5 + 8.54*b6 + 0.5*x86 + 0.5*x89 + x102 - x105 <= 8.54;

e53:    13*b5 - 13*b6 + 0.5*x94 + 0.5*x97 - x109 + x112 <= 13;

e54:    13*b5 + 13*b6 + 0.5*x94 + 0.5*x97 + x109 - x112 <= 26;

e55:  - x50 + x102 - x106 <= 0;

e56:  - x50 - x102 + x106 <= 0;

e57:  - x51 + x109 - x113 <= 0;

e58:  - x51 - x109 + x113 <= 0;

e59:  - 8.54*b7 - 8.54*b8 + 0.5*x86 + 0.5*x90 - x102 + x106 <= 0;

e60:  - 8.54*b7 + 8.54*b8 + 0.5*x86 + 0.5*x90 + x102 - x106 <= 8.54;

e61:    13*b7 - 13*b8 + 0.5*x94 + 0.5*x98 - x109 + x113 <= 13;

e62:    13*b7 + 13*b8 + 0.5*x94 + 0.5*x98 + x109 - x113 <= 26;

e63:  - x52 + x102 - x107 <= 0;

e64:  - x52 - x102 + x107 <= 0;

e65:  - x53 + x109 - x114 <= 0;

e66:  - x53 - x109 + x114 <= 0;

e67:  - 8.54*b9 - 8.54*b10 + 0.5*x86 + 0.5*x91 - x102 + x107 <= 0;

e68:  - 8.54*b9 + 8.54*b10 + 0.5*x86 + 0.5*x91 + x102 - x107 <= 8.54;

e69:    13*b9 - 13*b10 + 0.5*x94 + 0.5*x99 - x109 + x114 <= 13;

e70:    13*b9 + 13*b10 + 0.5*x94 + 0.5*x99 + x109 - x114 <= 26;

e71:  - x54 + x102 - x108 <= 0;

e72:  - x54 - x102 + x108 <= 0;

e73:  - x55 + x109 - x115 <= 0;

e74:  - x55 - x109 + x115 <= 0;

e75:  - 8.54*b11 - 8.54*b12 + 0.5*x86 + 0.5*x92 - x102 + x108 <= 0;

e76:  - 8.54*b11 + 8.54*b12 + 0.5*x86 + 0.5*x92 + x102 - x108 <= 8.54;

e77:    13*b11 - 13*b12 + 0.5*x94 + 0.5*x100 - x109 + x115 <= 13;

e78:    13*b11 + 13*b12 + 0.5*x94 + 0.5*x100 + x109 - x115 <= 26;

e79:  - x56 + x103 - x104 <= 0;

e80:  - x56 - x103 + x104 <= 0;

e81:  - x57 + x110 - x111 <= 0;

e82:  - x57 - x110 + x111 <= 0;

e83:  - 8.54*b13 - 8.54*b14 + 0.5*x87 + 0.5*x88 - x103 + x104 <= 0;

e84:  - 8.54*b13 + 8.54*b14 + 0.5*x87 + 0.5*x88 + x103 - x104 <= 8.54;

e85:    13*b13 - 13*b14 + 0.5*x95 + 0.5*x96 - x110 + x111 <= 13;

e86:    13*b13 + 13*b14 + 0.5*x95 + 0.5*x96 + x110 - x111 <= 26;

e87:  - x58 + x103 - x105 <= 0;

e88:  - x58 - x103 + x105 <= 0;

e89:  - x59 + x110 - x112 <= 0;

e90:  - x59 - x110 + x112 <= 0;

e91:  - 8.54*b15 - 8.54*b16 + 0.5*x87 + 0.5*x89 - x103 + x105 <= 0;

e92:  - 8.54*b15 + 8.54*b16 + 0.5*x87 + 0.5*x89 + x103 - x105 <= 8.54;

e93:    13*b15 - 13*b16 + 0.5*x95 + 0.5*x97 - x110 + x112 <= 13;

e94:    13*b15 + 13*b16 + 0.5*x95 + 0.5*x97 + x110 - x112 <= 26;

e95:  - x60 + x103 - x106 <= 0;

e96:  - x60 - x103 + x106 <= 0;

e97:  - x61 + x110 - x113 <= 0;

e98:  - x61 - x110 + x113 <= 0;

e99:  - 8.54*b17 - 8.54*b18 + 0.5*x87 + 0.5*x90 - x103 + x106 <= 0;

e100:  - 8.54*b17 + 8.54*b18 + 0.5*x87 + 0.5*x90 + x103 - x106 <= 8.54;

e101:    13*b17 - 13*b18 + 0.5*x95 + 0.5*x98 - x110 + x113 <= 13;

e102:    13*b17 + 13*b18 + 0.5*x95 + 0.5*x98 + x110 - x113 <= 26;

e103:  - x62 + x103 - x107 <= 0;

e104:  - x62 - x103 + x107 <= 0;

e105:  - x63 + x110 - x114 <= 0;

e106:  - x63 - x110 + x114 <= 0;

e107:  - 8.54*b19 - 8.54*b20 + 0.5*x87 + 0.5*x91 - x103 + x107 <= 0;

e108:  - 8.54*b19 + 8.54*b20 + 0.5*x87 + 0.5*x91 + x103 - x107 <= 8.54;

e109:    13*b19 - 13*b20 + 0.5*x95 + 0.5*x99 - x110 + x114 <= 13;

e110:    13*b19 + 13*b20 + 0.5*x95 + 0.5*x99 + x110 - x114 <= 26;

e111:  - x64 + x103 - x108 <= 0;

e112:  - x64 - x103 + x108 <= 0;

e113:  - x65 + x110 - x115 <= 0;

e114:  - x65 - x110 + x115 <= 0;

e115:  - 8.54*b21 - 8.54*b22 + 0.5*x87 + 0.5*x92 - x103 + x108 <= 0;

e116:  - 8.54*b21 + 8.54*b22 + 0.5*x87 + 0.5*x92 + x103 - x108 <= 8.54;

e117:    13*b21 - 13*b22 + 0.5*x95 + 0.5*x100 - x110 + x115 <= 13;

e118:    13*b21 + 13*b22 + 0.5*x95 + 0.5*x100 + x110 - x115 <= 26;

e119:  - x66 + x104 - x105 <= 0;

e120:  - x66 - x104 + x105 <= 0;

e121:  - x67 + x111 - x112 <= 0;

e122:  - x67 - x111 + x112 <= 0;

e123:  - 8.54*b23 - 8.54*b24 + 0.5*x88 + 0.5*x89 - x104 + x105 <= 0;

e124:  - 8.54*b23 + 8.54*b24 + 0.5*x88 + 0.5*x89 + x104 - x105 <= 8.54;

e125:    13*b23 - 13*b24 + 0.5*x96 + 0.5*x97 - x111 + x112 <= 13;

e126:    13*b23 + 13*b24 + 0.5*x96 + 0.5*x97 + x111 - x112 <= 26;

e127:  - x68 + x104 - x106 <= 0;

e128:  - x68 - x104 + x106 <= 0;

e129:  - x69 + x111 - x113 <= 0;

e130:  - x69 - x111 + x113 <= 0;

e131:  - 8.54*b25 - 8.54*b26 + 0.5*x88 + 0.5*x90 - x104 + x106 <= 0;

e132:  - 8.54*b25 + 8.54*b26 + 0.5*x88 + 0.5*x90 + x104 - x106 <= 8.54;

e133:    13*b25 - 13*b26 + 0.5*x96 + 0.5*x98 - x111 + x113 <= 13;

e134:    13*b25 + 13*b26 + 0.5*x96 + 0.5*x98 + x111 - x113 <= 26;

e135:  - x70 + x104 - x107 <= 0;

e136:  - x70 - x104 + x107 <= 0;

e137:  - x71 + x111 - x114 <= 0;

e138:  - x71 - x111 + x114 <= 0;

e139:  - 8.54*b27 - 8.54*b28 + 0.5*x88 + 0.5*x91 - x104 + x107 <= 0;

e140:  - 8.54*b27 + 8.54*b28 + 0.5*x88 + 0.5*x91 + x104 - x107 <= 8.54;

e141:    13*b27 - 13*b28 + 0.5*x96 + 0.5*x99 - x111 + x114 <= 13;

e142:    13*b27 + 13*b28 + 0.5*x96 + 0.5*x99 + x111 - x114 <= 26;

e143:  - x72 + x104 - x108 <= 0;

e144:  - x72 - x104 + x108 <= 0;

e145:  - x73 + x111 - x115 <= 0;

e146:  - x73 - x111 + x115 <= 0;

e147:  - 8.54*b29 - 8.54*b30 + 0.5*x88 + 0.5*x92 - x104 + x108 <= 0;

e148:  - 8.54*b29 + 8.54*b30 + 0.5*x88 + 0.5*x92 + x104 - x108 <= 8.54;

e149:    13*b29 - 13*b30 + 0.5*x96 + 0.5*x100 - x111 + x115 <= 13;

e150:    13*b29 + 13*b30 + 0.5*x96 + 0.5*x100 + x111 - x115 <= 26;

e151:  - x74 + x105 - x106 <= 0;

e152:  - x74 - x105 + x106 <= 0;

e153:  - x75 + x112 - x113 <= 0;

e154:  - x75 - x112 + x113 <= 0;

e155:  - 8.54*b31 - 8.54*b32 + 0.5*x89 + 0.5*x90 - x105 + x106 <= 0;

e156:  - 8.54*b31 + 8.54*b32 + 0.5*x89 + 0.5*x90 + x105 - x106 <= 8.54;

e157:    13*b31 - 13*b32 + 0.5*x97 + 0.5*x98 - x112 + x113 <= 13;

e158:    13*b31 + 13*b32 + 0.5*x97 + 0.5*x98 + x112 - x113 <= 26;

e159:  - x76 + x105 - x107 <= 0;

e160:  - x76 - x105 + x107 <= 0;

e161:  - x77 + x112 - x114 <= 0;

e162:  - x77 - x112 + x114 <= 0;

e163:  - 8.54*b33 - 8.54*b34 + 0.5*x89 + 0.5*x91 - x105 + x107 <= 0;

e164:  - 8.54*b33 + 8.54*b34 + 0.5*x89 + 0.5*x91 + x105 - x107 <= 8.54;

e165:    13*b33 - 13*b34 + 0.5*x97 + 0.5*x99 - x112 + x114 <= 13;

e166:    13*b33 + 13*b34 + 0.5*x97 + 0.5*x99 + x112 - x114 <= 26;

e167:  - x78 + x105 - x108 <= 0;

e168:  - x78 - x105 + x108 <= 0;

e169:  - x79 + x112 - x115 <= 0;

e170:  - x79 - x112 + x115 <= 0;

e171:  - 8.54*b35 - 8.54*b36 + 0.5*x89 + 0.5*x92 - x105 + x108 <= 0;

e172:  - 8.54*b35 + 8.54*b36 + 0.5*x89 + 0.5*x92 + x105 - x108 <= 8.54;

e173:    13*b35 - 13*b36 + 0.5*x97 + 0.5*x100 - x112 + x115 <= 13;

e174:    13*b35 + 13*b36 + 0.5*x97 + 0.5*x100 + x112 - x115 <= 26;

e175:  - x80 + x106 - x107 <= 0;

e176:  - x80 - x106 + x107 <= 0;

e177:  - x81 + x113 - x114 <= 0;

e178:  - x81 - x113 + x114 <= 0;

e179:  - 8.54*b37 - 8.54*b38 + 0.5*x90 + 0.5*x91 - x106 + x107 <= 0;

e180:  - 8.54*b37 + 8.54*b38 + 0.5*x90 + 0.5*x91 + x106 - x107 <= 8.54;

e181:    13*b37 - 13*b38 + 0.5*x98 + 0.5*x99 - x113 + x114 <= 13;

e182:    13*b37 + 13*b38 + 0.5*x98 + 0.5*x99 + x113 - x114 <= 26;

e183:  - x82 + x106 - x108 <= 0;

e184:  - x82 - x106 + x108 <= 0;

e185:  - x83 + x113 - x115 <= 0;

e186:  - x83 - x113 + x115 <= 0;

e187:  - 8.54*b39 - 8.54*b40 + 0.5*x90 + 0.5*x92 - x106 + x108 <= 0;

e188:  - 8.54*b39 + 8.54*b40 + 0.5*x90 + 0.5*x92 + x106 - x108 <= 8.54;

e189:    13*b39 - 13*b40 + 0.5*x98 + 0.5*x100 - x113 + x115 <= 13;

e190:    13*b39 + 13*b40 + 0.5*x98 + 0.5*x100 + x113 - x115 <= 26;

e191:  - x84 + x107 - x108 <= 0;

e192:  - x84 - x107 + x108 <= 0;

e193:  - x85 + x114 - x115 <= 0;

e194:  - x85 - x114 + x115 <= 0;

e195:  - 8.54*b41 - 8.54*b42 + 0.5*x91 + 0.5*x92 - x107 + x108 <= 0;

e196:  - 8.54*b41 + 8.54*b42 + 0.5*x91 + 0.5*x92 + x107 - x108 <= 8.54;

e197:    13*b41 - 13*b42 + 0.5*x99 + 0.5*x100 - x114 + x115 <= 13;

e198:    13*b41 + 13*b42 + 0.5*x99 + 0.5*x100 + x114 - x115 <= 26;

e199: 16/x86 - x94 <= 0;

e200: 16/x94 - x86 <= 0;

e201: 16/x87 - x95 <= 0;

e202: 16/x95 - x87 <= 0;

e203: 16/x88 - x96 <= 0;

e204: 16/x96 - x88 <= 0;

e205: 36/x89 - x97 <= 0;

e206: 36/x97 - x89 <= 0;

e207: 9/x90 - x98 <= 0;

e208: 9/x98 - x90 <= 0;

e209: 9/x91 - x99 <= 0;

e210: 9/x99 - x91 <= 0;

e211: 9/x92 - x100 <= 0;

e212: 9/x100 - x92 <= 0;