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Formats | gms lp mod qplib |
Problem type probtype | LIQ |
Solution point objective value solobjvalue | 15.00000000 (gdx, sol) |
Solution point infeasibility solinfeasibility | 0.0000e+00 |
Donor donor | Stefan Vigerske |
#Variables nvars | 63 |
#Binary Variables nbinvars | 7 |
#Integer Variables nintvars | 56 |
#Bounded non-binary Variables nboundedvars | 56 |
#Variables with only one bound nsingleboundedvars | 0 |
#Nonlinear Variables nnlvars | 56 |
#Nonlinear Binary Variables nnlbinvars | 0 |
#Nonlinear Integer Variables nnlintvars | 56 |
Objective Sense objsense | min |
Objective type objtype | linear |
Objective curvature objcurvature | linear |
#Negative eigenvalues in objective matrix nobjquadnegev | |
#Positive eigenvalues in objective matrix nobjquadposev | |
#Nonzeros in Objective nobjnz | 14 |
#Nonlinear Nonzeros in Objective nobjnlnz | 0 |
#Quadratic Terms in Objective nobjquadnz | 0 |
#Square Terms in Objective nobjquaddiagnz | 0 |
#Constraints ncons | 42 |
#Linear Constraints nlincons | 35 |
#Quadratic Constraints nquadcons | 7 |
#Diagonal Quadratic Constraints ndiagquadcons | 0 |
Constraints curvature conscurvature | indefinite |
#Convex Nonlinear Constraints nconvexnlcons | 0 |
#Concave Nonlinear Constraints nconcavenlcons | 0 |
#Indefinite Nonlinear Constraints nindefinitenlcons | 7 |
#Nonzeros in Jacobian njacobiannz | 273 |
#Nonlinear Nonzeros in Jacobian njacobiannlnz | 98 |
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz | 98 |
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz | 0 |
#Blocks in Hessian of Lagrangian nlaghessianblocks | 7 |
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize | 8 |
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize | 8 |
Average blocksize in Hessian of Lagrangian laghessianavgblocksize | 8.0 |
Sparsity Jacobian | ![]() |
Sparsity Lag. Hessian | ![]() |
QPLIB_3562.gms
$offlisting * * Equation counts * Total E G L N X C B * 43 1 0 42 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 64 1 7 56 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 288 190 98 0 * * Solve m using MIQCP minimizing objvar; Variables objvar,b2,b3,b4,b5,b6,b7,b8,i9,i10,i11,i12,i13,i14,i15,i16,i17,i18 ,i19,i20,i21,i22,i23,i24,i25,i26,i27,i28,i29,i30,i31,i32,i33,i34,i35 ,i36,i37,i38,i39,i40,i41,i42,i43,i44,i45,i46,i47,i48,i49,i50,i51,i52 ,i53,i54,i55,i56,i57,i58,i59,i60,i61,i62,i63,i64; Binary Variables b2,b3,b4,b5,b6,b7,b8; Integer Variables i9,i10,i11,i12,i13,i14,i15,i16,i17,i18,i19,i20,i21,i22,i23 ,i24,i25,i26,i27,i28,i29,i30,i31,i32,i33,i34,i35,i36,i37,i38,i39,i40 ,i41,i42,i43,i44,i45,i46,i47,i48,i49,i50,i51,i52,i53,i54,i55,i56,i57 ,i58,i59,i60,i61,i62,i63,i64; Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19 ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36 ,e37,e38,e39,e40,e41,e42,e43; e1.. - objvar + 0.1*b2 + 0.2*b3 + 0.3*b4 + 0.4*b5 + 0.5*b6 + 0.6*b7 + 0.7*b8 + i9 + i10 + i11 + i12 + i13 + i14 + i15 =E= 0; e2.. 550*i16 + 630*i17 + 685*i18 + 720*i19 + 760*i20 + 810*i21 + 850*i22 =L= 3400; e3.. 550*i23 + 630*i24 + 685*i25 + 720*i26 + 760*i27 + 810*i28 + 850*i29 =L= 3400; e4.. 550*i30 + 630*i31 + 685*i32 + 720*i33 + 760*i34 + 810*i35 + 850*i36 =L= 3400; e5.. 550*i37 + 630*i38 + 685*i39 + 720*i40 + 760*i41 + 810*i42 + 850*i43 =L= 3400; e6.. 550*i44 + 630*i45 + 685*i46 + 720*i47 + 760*i48 + 810*i49 + 850*i50 =L= 3400; e7.. 550*i51 + 630*i52 + 685*i53 + 720*i54 + 760*i55 + 810*i56 + 850*i57 =L= 3400; e8.. 550*i58 + 630*i59 + 685*i60 + 720*i61 + 760*i62 + 810*i63 + 850*i64 =L= 3400; e9.. - 550*i16 - 630*i17 - 685*i18 - 720*i19 - 760*i20 - 810*i21 - 850*i22 =L= -3200; e10.. - 550*i23 - 630*i24 - 685*i25 - 720*i26 - 760*i27 - 810*i28 - 850*i29 =L= -3200; e11.. - 550*i30 - 630*i31 - 685*i32 - 720*i33 - 760*i34 - 810*i35 - 850*i36 =L= -3200; e12.. - 550*i37 - 630*i38 - 685*i39 - 720*i40 - 760*i41 - 810*i42 - 850*i43 =L= -3200; e13.. - 550*i44 - 630*i45 - 685*i46 - 720*i47 - 760*i48 - 810*i49 - 850*i50 =L= -3200; e14.. - 550*i51 - 630*i52 - 685*i53 - 720*i54 - 760*i55 - 810*i56 - 850*i57 =L= -3200; e15.. - 550*i58 - 630*i59 - 685*i60 - 720*i61 - 760*i62 - 810*i63 - 850*i64 =L= -3200; e16.. i16 + i17 + i18 + i19 + i20 + i21 + i22 =L= 6; e17.. i23 + i24 + i25 + i26 + i27 + i28 + i29 =L= 6; e18.. i30 + i31 + i32 + i33 + i34 + i35 + i36 =L= 6; e19.. i37 + i38 + i39 + i40 + i41 + i42 + i43 =L= 6; e20.. i44 + i45 + i46 + i47 + i48 + i49 + i50 =L= 6; e21.. i51 + i52 + i53 + i54 + i55 + i56 + i57 =L= 6; e22.. i58 + i59 + i60 + i61 + i62 + i63 + i64 =L= 6; e23.. b2 - i9 =L= 0; e24.. b3 - i10 =L= 0; e25.. b4 - i11 =L= 0; e26.. b5 - i12 =L= 0; e27.. b6 - i13 =L= 0; e28.. b7 - i14 =L= 0; e29.. b8 - i15 =L= 0; e30.. - 15*b2 + i9 =L= 0; e31.. - 15*b3 + i10 =L= 0; e32.. - 15*b4 + i11 =L= 0; e33.. - 15*b5 + i12 =L= 0; e34.. - 15*b6 + i13 =L= 0; e35.. - 15*b7 + i14 =L= 0; e36.. - 15*b8 + i15 =L= 0; e37.. (-i16*i9) - i23*i10 - i30*i11 - i37*i12 - i44*i13 - i51*i14 - i58*i15 =L= -8; e38.. (-i17*i9) - i24*i10 - i31*i11 - i38*i12 - i45*i13 - i52*i14 - i59*i15 =L= -11; e39.. (-i18*i9) - i25*i10 - i32*i11 - i39*i12 - i46*i13 - i53*i14 - i60*i15 =L= -15; e40.. (-i19*i9) - i26*i10 - i33*i11 - i40*i12 - i47*i13 - i54*i14 - i61*i15 =L= -5; e41.. (-i20*i9) - i27*i10 - i34*i11 - i41*i12 - i48*i13 - i55*i14 - i62*i15 =L= -8; e42.. (-i21*i9) - i28*i10 - i35*i11 - i42*i12 - i49*i13 - i56*i14 - i63*i15 =L= -12; e43.. (-i22*i9) - i29*i10 - i36*i11 - i43*i12 - i50*i13 - i57*i14 - i64*i15 =L= -6; * set non-default bounds i9.up = 15; i10.up = 15; i11.up = 15; i12.up = 15; i13.up = 15; i14.up = 15; i15.up = 15; i16.up = 6; i17.up = 6; i18.up = 6; i19.up = 6; i20.up = 6; i21.up = 6; i22.up = 6; i23.up = 6; i24.up = 6; i25.up = 6; i26.up = 6; i27.up = 6; i28.up = 6; i29.up = 6; i30.up = 6; i31.up = 6; i32.up = 6; i33.up = 6; i34.up = 6; i35.up = 6; i36.up = 6; i37.up = 6; i38.up = 6; i39.up = 6; i40.up = 6; i41.up = 6; i42.up = 6; i43.up = 6; i44.up = 6; i45.up = 6; i46.up = 6; i47.up = 6; i48.up = 6; i49.up = 6; i50.up = 6; i51.up = 6; i52.up = 6; i53.up = 6; i54.up = 6; i55.up = 6; i56.up = 6; i57.up = 6; i58.up = 6; i59.up = 6; i60.up = 6; i61.up = 6; i62.up = 6; i63.up = 6; i64.up = 6; Model m / all /; m.limrow=0; m.limcol=0; $if NOT '%gams.u1%' == '' $include '%gams.u1%' m.tolproj = 0.0; $if not set MIQCP $set MIQCP MIQCP Solve m using %MIQCP% minimizing objvar;
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