#  MINLP written by GAMS Convert at 01/12/18 13:34:25
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#         37       37        0        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        109        1      108        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        217      109      108        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 b43 binary >= 0, <= 1;
var b44 binary >= 0, <= 1;
var b45 binary >= 0, <= 1;
var b46 binary >= 0, <= 1;
var b47 binary >= 0, <= 1;
var b48 binary >= 0, <= 1;
var b49 binary >= 0, <= 1;
var b50 binary >= 0, <= 1;
var b51 binary >= 0, <= 1;
var b52 binary >= 0, <= 1;
var b53 binary >= 0, <= 1;
var b54 binary >= 0, <= 1;
var b55 binary >= 0, <= 1;
var b56 binary >= 0, <= 1;
var b57 binary >= 0, <= 1;
var b58 binary >= 0, <= 1;
var b59 binary >= 0, <= 1;
var b60 binary >= 0, <= 1;
var b61 binary >= 0, <= 1;
var b62 binary >= 0, <= 1;
var b63 binary >= 0, <= 1;
var b64 binary >= 0, <= 1;
var b65 binary >= 0, <= 1;
var b66 binary >= 0, <= 1;
var b67 binary >= 0, <= 1;
var b68 binary >= 0, <= 1;
var b69 binary >= 0, <= 1;
var b70 binary >= 0, <= 1;
var b71 binary >= 0, <= 1;
var b72 binary >= 0, <= 1;
var b73 binary >= 0, <= 1;
var b74 binary >= 0, <= 1;
var b75 binary >= 0, <= 1;
var b76 binary >= 0, <= 1;
var b77 binary >= 0, <= 1;
var b78 binary >= 0, <= 1;
var b79 binary >= 0, <= 1;
var b80 binary >= 0, <= 1;
var b81 binary >= 0, <= 1;
var b82 binary >= 0, <= 1;
var b83 binary >= 0, <= 1;
var b84 binary >= 0, <= 1;
var b85 binary >= 0, <= 1;
var b86 binary >= 0, <= 1;
var b87 binary >= 0, <= 1;
var b88 binary >= 0, <= 1;
var b89 binary >= 0, <= 1;
var b90 binary >= 0, <= 1;
var b91 binary >= 0, <= 1;
var b92 binary >= 0, <= 1;
var b93 binary >= 0, <= 1;
var b94 binary >= 0, <= 1;
var b95 binary >= 0, <= 1;
var b96 binary >= 0, <= 1;
var b97 binary >= 0, <= 1;
var b98 binary >= 0, <= 1;
var b99 binary >= 0, <= 1;
var b100 binary >= 0, <= 1;
var b101 binary >= 0, <= 1;
var b102 binary >= 0, <= 1;
var b103 binary >= 0, <= 1;
var b104 binary >= 0, <= 1;
var b105 binary >= 0, <= 1;
var b106 binary >= 0, <= 1;
var b107 binary >= 0, <= 1;
var b108 binary >= 0, <= 1;

minimize obj: 50078*b1*b4 + 117720*b1*b16 - 43049*b1*b19 + 13155*b1*b91 + 50078
    *b2*b5 + 117720*b2*b17 - 43049*b2*b20 + 13155*b2*b92 + 50078*b3*b6 + 117720
    *b3*b18 - 43049*b3*b21 + 13155*b3*b93 + 19451*b4*b7 - 81035*b4*b22 - 105510
    *b4*b94 + 19451*b5*b8 - 81035*b5*b23 - 105510*b5*b95 + 19451*b6*b9 - 81035*
    b6*b24 - 105510*b6*b96 - 31535*b7*b10 - 91808*b7*b25 + 3251*b7*b97 - 31535*
    b8*b11 - 91808*b8*b26 + 3251*b8*b98 - 31535*b9*b12 - 91808*b9*b27 + 3251*b9
    *b99 + 144057*b10*b13 - 102239*b10*b28 + 25384*b10*b100 + 144057*b11*b14 - 
    102239*b11*b29 + 25384*b11*b101 + 144057*b12*b15 - 102239*b12*b30 + 25384*
    b12*b102 - 78656*b13*b16 - 156991*b13*b31 - 26788*b13*b103 - 78656*b14*b17
     - 156991*b14*b32 - 26788*b14*b104 - 78656*b15*b18 - 156991*b15*b33 - 26788
    *b15*b105 - 40629*b16*b34 + 187339*b16*b106 - 40629*b17*b35 + 187339*b17*
    b107 - 40629*b18*b36 + 187339*b18*b108 - 64123*b19*b22 + 193957*b19*b34 - 
    42715*b19*b37 - 64123*b20*b23 + 193957*b20*b35 - 42715*b20*b38 - 64123*b21*
    b24 + 193957*b21*b36 - 42715*b21*b39 - 109684*b22*b25 - 7040*b22*b40 - 
    109684*b23*b26 - 7040*b23*b41 - 109684*b24*b27 - 7040*b24*b42 - 104107*b25*
    b28 + 4745*b25*b43 - 104107*b26*b29 + 4745*b26*b44 - 104107*b27*b30 + 4745*
    b27*b45 - 89768*b28*b31 + 111318*b28*b46 - 89768*b29*b32 + 111318*b29*b47
     - 89768*b30*b33 + 111318*b30*b48 - 87660*b31*b34 - 59350*b31*b49 - 87660*
    b32*b35 - 59350*b32*b50 - 87660*b33*b36 - 59350*b33*b51 - 53495*b34*b52 - 
    53495*b35*b53 - 53495*b36*b54 + 98616*b37*b40 - 166277*b37*b52 + 121306*b37
    *b55 + 98616*b38*b41 - 166277*b38*b53 + 121306*b38*b56 + 98616*b39*b42 - 
    166277*b39*b54 + 121306*b39*b57 + 185685*b40*b43 + 162679*b40*b58 + 185685*
    b41*b44 + 162679*b41*b59 + 185685*b42*b45 + 162679*b42*b60 - 34358*b43*b46
     - 197375*b43*b61 - 34358*b44*b47 - 197375*b44*b62 - 34358*b45*b48 - 197375
    *b45*b63 - 57511*b46*b49 - 19008*b46*b64 - 57511*b47*b50 - 19008*b47*b65 - 
    57511*b48*b51 - 19008*b48*b66 - 9951*b49*b52 - 7268*b49*b67 - 9951*b50*b53
     - 7268*b50*b68 - 9951*b51*b54 - 7268*b51*b69 - 62799*b52*b70 - 62799*b53*
    b71 - 62799*b54*b72 - 60076*b55*b58 + 20720*b55*b70 + 53669*b55*b73 - 60076
    *b56*b59 + 20720*b56*b71 + 53669*b56*b74 - 60076*b57*b60 + 20720*b57*b72 + 
    53669*b57*b75 + 30538*b58*b61 - 71849*b58*b76 + 30538*b59*b62 - 71849*b59*
    b77 + 30538*b60*b63 - 71849*b60*b78 + 84983*b61*b64 + 89697*b61*b79 + 84983
    *b62*b65 + 89697*b62*b80 + 84983*b63*b66 + 89697*b63*b81 + 123972*b64*b67
     - 71412*b64*b82 + 123972*b65*b68 - 71412*b65*b83 + 123972*b66*b69 - 71412*
    b66*b84 + 98426*b67*b70 - 14872*b67*b85 + 98426*b68*b71 - 14872*b68*b86 + 
    98426*b69*b72 - 14872*b69*b87 - 139665*b70*b88 - 139665*b71*b89 - 139665*
    b72*b90 - 13082*b73*b76 + 244658*b73*b88 + 98492*b73*b91 - 13082*b74*b77 + 
    244658*b74*b89 + 98492*b74*b92 - 13082*b75*b78 + 244658*b75*b90 + 98492*b75
    *b93 + 102438*b76*b79 + 36098*b76*b94 + 102438*b77*b80 + 36098*b77*b95 + 
    102438*b78*b81 + 36098*b78*b96 + 283615*b79*b82 - 42312*b79*b97 + 283615*
    b80*b83 - 42312*b80*b98 + 283615*b81*b84 - 42312*b81*b99 - 89738*b82*b85 - 
    112724*b82*b100 - 89738*b83*b86 - 112724*b83*b101 - 89738*b84*b87 - 112724*
    b84*b102 + 46994*b85*b88 - 99160*b85*b103 + 46994*b86*b89 - 99160*b86*b104
     + 46994*b87*b90 - 99160*b87*b105 - 36555*b88*b106 - 36555*b89*b107 - 36555
    *b90*b108 + 48924*b91*b94 - 110970*b91*b106 + 48924*b92*b95 - 110970*b92*
    b107 + 48924*b93*b96 - 110970*b93*b108 - 189064*b94*b97 - 189064*b95*b98 - 
    189064*b96*b99 + 24208*b97*b100 + 24208*b98*b101 + 24208*b99*b102 - 202185*
    b100*b103 - 202185*b101*b104 - 202185*b102*b105 - 4003*b103*b106 - 4003*
    b104*b107 - 4003*b105*b108;

subject to

e1:    b1 + b2 + b3 = 1;

e2:    b4 + b5 + b6 = 1;

e3:    b7 + b8 + b9 = 1;

e4:    b10 + b11 + b12 = 1;

e5:    b13 + b14 + b15 = 1;

e6:    b16 + b17 + b18 = 1;

e7:    b19 + b20 + b21 = 1;

e8:    b22 + b23 + b24 = 1;

e9:    b25 + b26 + b27 = 1;

e10:    b28 + b29 + b30 = 1;

e11:    b31 + b32 + b33 = 1;

e12:    b34 + b35 + b36 = 1;

e13:    b37 + b38 + b39 = 1;

e14:    b40 + b41 + b42 = 1;

e15:    b43 + b44 + b45 = 1;

e16:    b46 + b47 + b48 = 1;

e17:    b49 + b50 + b51 = 1;

e18:    b52 + b53 + b54 = 1;

e19:    b55 + b56 + b57 = 1;

e20:    b58 + b59 + b60 = 1;

e21:    b61 + b62 + b63 = 1;

e22:    b64 + b65 + b66 = 1;

e23:    b67 + b68 + b69 = 1;

e24:    b70 + b71 + b72 = 1;

e25:    b73 + b74 + b75 = 1;

e26:    b76 + b77 + b78 = 1;

e27:    b79 + b80 + b81 = 1;

e28:    b82 + b83 + b84 = 1;

e29:    b85 + b86 + b87 = 1;

e30:    b88 + b89 + b90 = 1;

e31:    b91 + b92 + b93 = 1;

e32:    b94 + b95 + b96 = 1;

e33:    b97 + b98 + b99 = 1;

e34:    b100 + b101 + b102 = 1;

e35:    b103 + b104 + b105 = 1;

e36:    b106 + b107 + b108 = 1;