nvs02.gms:
References:
- Tawarmalani, M, and Sahinidis, N, Exact Algorithms for Global Optimization of Mixed-Integer Nonlinear Programs. In Pardalos, P M, and Romeijn, E, Eds, Handbook of Global Optimization - Volume 2: Heuristic Approaches. Kluwer Academic Publishers, 2001.
- Gupta, O K, and Ravindran, A, Branch and Bound Experiments in Convex Nonlinear Integer Programming. Management Science 13 (1985), 1533-1546.
Point:
p1
Best known point (p1): Solution value 5.98 (global optimum, BARON certificate)
<![CDATA[
$offlisting
* MINLP written by GAMS Convert at 07/24/02 13:01:19
*
* Equation counts
* Total E G L N X C
* 4 4 0 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 9 4 0 5 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 20 4 16 0
*
* Solve m using MINLP minimizing objvar;
Variables i1,i2,i3,i4,i5,x6,x7,x8,objvar;
Positive Variables x6;
Integer Variables i1,i2,i3,i4,i5;
Equations e1,e2,e3,e4;
e1.. - (0.0056858*i2*i5 + 0.0006262*i1*i4 - 0.0022053*i3*i5) + x6
=E= 85.334407;
e2.. - (0.0071317*i2*i5 + 0.0029955*i1*i2 + 0.0021813*sqr(i3)) + x7
=E= 80.51249;
e3.. - (0.0047026*i3*i5 + 0.0012547*i1*i3 + 0.0019085*i3*i4) + x8
=E= 9.300961;
e4.. - 9.99999999999999e-5*(5.3578547*i3**2 + 0.8356891*i1*i5 + 37.293239*i1)
+ objvar =E= 5.9207859;
* set non default bounds
i1.up = 200;
i2.up = 200;
i3.up = 200;
i4.up = 200;
i5.up = 200;
x6.up = 92;
x7.lo = 90; x7.up = 110;
x8.lo = 20; x8.up = 25;
$if set nostart $goto modeldef
* set non default levels
i1.l = 100;
i2.l = 100;
i3.l = 100;
i4.l = 100;
i5.l = 100;
* set non default marginals
$label modeldef
Model m / all /;
m.limrow=0; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;
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