haverly.gms:
References:
- Haverly, C A, Studies of the Behavior of Recursion for the Pooling Problem. ACM SIGMAP Bull 25 (1978), 19-28.
- Adhya, N, Tawarmalani, M, and Sahinidis, N, A Lagrangian Approach to the Pooling Problem. Industrial and Engineering Chemical Research 38 (1999), 1956-1972.
- Original source: GAMS Model of haverly.gms from GAMS Model Library
Point:
p1
Best known point: p1 with value 900.0000
* NLP written by GAMS Convert at 07/30/01 17:04:16
*
* Equation counts
* Total E G L N X
* 10 8 0 2 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 13 13 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 34 27 7 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,objvar;
Positive Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10;
e1.. x1 - 6*x3 - 16*x4 - 10*x5 =E= 0;
e2.. x2 - 9*x6 - 15*x7 =E= 0;
e3.. x6 - x8 - x10 =E= 0;
e4.. x7 - x9 - x11 =E= 0;
e5.. x3 + x4 - x10 - x11 =E= 0;
e6.. x5 - x8 - x9 =E= 0;
e7.. x12*(x10 + x11) - 3*x3 - x4 =E= 0;
e8.. x12*x10 - 2.5*x10 - 0.5*x8 =L= 0;
e9.. x12*x11 - 1.5*x11 + 0.5*x9 =L= 0;
e10.. x1 - x2 - objvar =E= 0;
* set non default bounds
x6.up = 100;
x7.up = 200;
* set non default levels
x8.l = 1;
x9.l = 1;
x10.l = 1;
x11.l = 1;
x12.l = 1;
* set non default marginals
Model m / all /;
m.limrow=0; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
Solve m using NLP minimizing objvar;