nvs09.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 -43.13 (global optimum, LINDOGLOBAL certificate)
<![CDATA[
$offlisting
* MINLP written by GAMS Convert at 07/24/02 13:01:21
*
* Equation counts
* Total E G L N X C
* 1 1 0 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 11 1 0 10 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 11 1 10 0
*
* Solve m using MINLP minimizing objvar;
Variables i1,i2,i3,i4,i5,i6,i7,i8,i9,i10,objvar;
Integer Variables i1,i2,i3,i4,i5,i6,i7,i8,i9,i10;
Equations e1;
e1.. - (sqr(log(i1 - 2)) + sqr(log(10 - i1)) + sqr(log(i2 - 2)) + sqr(log(10
- i2)) + sqr(log(i3 - 2)) + sqr(log(10 - i3)) + sqr(log(i4 - 2)) + sqr(
log(10 - i4)) + sqr(log(i5 - 2)) + sqr(log(10 - i5)) + sqr(log(i6 - 2)) +
sqr(log(10 - i6)) + sqr(log(i7 - 2)) + sqr(log(10 - i7)) + sqr(log(i8 - 2)
) + sqr(log(10 - i8)) + sqr(log(i9 - 2)) + sqr(log(10 - i9)) + sqr(log(i10
- 2)) + sqr(log(10 - i10)) - (i1*i2*i3*i4*i5*i6*i7*i8*i9*i10)**0.2)
+ objvar =E= 0;
* set non default bounds
i1.lo = 3; i1.up = 9;
i2.lo = 3; i2.up = 9;
i3.lo = 3; i3.up = 9;
i4.lo = 3; i4.up = 9;
i5.lo = 3; i5.up = 9;
i6.lo = 3; i6.up = 9;
i7.lo = 3; i7.up = 9;
i8.lo = 3; i8.up = 9;
i9.lo = 3; i9.up = 9;
i10.lo = 3; i10.up = 9;
$if set nostart $goto modeldef
* set non default levels
i1.l = 5;
i2.l = 5;
i3.l = 5;
i4.l = 5;
i5.l = 5;
i6.l = 5;
i7.l = 5;
i8.l = 5;
i9.l = 5;
i10.l = 5;
* 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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