batchdes.gms:
References:
- GAMS Development, GAMS Model Library.
- Kocis, G R, and Grossmann, I E, Global Optimization of Nonconvex MINLP Problems in Process Synthesis. Industrial and Engineering Chemical Research 27 (1988), 1407-1421.
- Original source: GAMS model batchdes.gms from Gams Model Library
Point:
p1
Best known point (p1): Solution value 167427.66 (global optimum, BARON certificate)
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* MINLP written by GAMS Convert at 04/17/01 16:35:07
*
* Equation counts
* Total E G L N X
* 20 7 12 1 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 20 11 9 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 53 43 10 0
*
* Solve m using MINLP minimizing objvar;
Variables b1,b2,b3,b4,b5,b6,b7,b8,b9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
,objvar;
Positive Variables x17,x18,x19;
Binary Variables b1,b2,b3,b4,b5,b6,b7,b8,b9;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
,e20;
e1.. x10 - x13 =G= 0.693147180559945;
e2.. x11 - x13 =G= 1.09861228866811;
e3.. x12 - x13 =G= 1.38629436111989;
e4.. x10 - x14 =G= 1.38629436111989;
e5.. x11 - x14 =G= 1.79175946922805;
e6.. x12 - x14 =G= 1.09861228866811;
e7.. x15 + x17 =G= 2.07944154167984;
e8.. x15 + x18 =G= 2.99573227355399;
e9.. x15 + x19 =G= 1.38629436111989;
e10.. x16 + x17 =G= 2.30258509299405;
e11.. x16 + x18 =G= 2.484906649788;
e12.. x16 + x19 =G= 1.09861228866811;
e13.. 200000*exp(x15 - x13) + 150000*exp(x16 - x14) =L= 6000;
e14.. - 0.693147180559945*b4 - 1.09861228866811*b7 + x17 =E= 0;
e15.. - 0.693147180559945*b5 - 1.09861228866811*b8 + x18 =E= 0;
e16.. - 0.693147180559945*b6 - 1.09861228866811*b9 + x19 =E= 0;
e17.. b1 + b4 + b7 =E= 1;
e18.. b2 + b5 + b8 =E= 1;
e19.. b3 + b6 + b9 =E= 1;
e20.. - (250*exp(0.6*x10 + x17) + 500*exp(0.6*x11 + x18) + 340*exp(0.6*x12 +
x19)) + objvar =E= 0;
* set non default bounds
x10.lo = 5.52146091786225; x10.up = 7.82404601085629;
x11.lo = 5.52146091786225; x11.up = 7.82404601085629;
x12.lo = 5.52146091786225; x12.up = 7.82404601085629;
x13.lo = 5.40367788220586; x13.up = 6.4377516497364;
x14.lo = 4.60517018598809; x14.up = 6.03228654162824;
x15.lo = 1.89711998488588; x15.up = 2.99573227355399;
x16.lo = 1.38629436111989; x16.up = 2.484906649788;
x17.up = 1.09861228866811;
x18.up = 1.09861228866811;
x19.up = 1.09861228866811;
objvar.lo = 0;
$if set nostart $goto modeldef
* set non default levels
x10.l = 6.70502272492805;
x11.l = 7.11048783303622;
x12.l = 7.30700912709102;
x13.l = 5.92071476597113;
x14.l = 5.31872836380816;
* 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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