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## gkocis.gms:

#### References:

• Floudas, C A, and Schweiger, C A, MINOPT Model Library.
• Kocis, G R, and Grossmann, I E, Relaxation Strategy for the Structural Optimization of Process Flow Sheets. Industrial and Engineering Chemical Research 26, 9 (1987), 1869-1880.
• Original source: MINOPT model kocis87-2.dat from MINOPT Model Library

Point: p1
Best known point (p1): Solution value -1.92 (global optimum, BARON certificate)

\$offlisting * MINLP written by GAMS Convert at 04/17/01 16:38:55 * * Equation counts * Total E G L N X * 9 6 0 3 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 12 9 3 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 28 26 2 0 * * Solve m using MINLP minimizing objvar; Variables x1,x2,x3,x4,x5,x6,x7,x8,b9,b10,b11,objvar; Positive Variables x1,x2,x3,x4,x5,x6,x7,x8; Binary Variables b9,b10,b11; Equations e1,e2,e3,e4,e5,e6,e7,e8,e9; e1.. - 1.8*x1 - 7*x5 - x6 - 1.2*x7 + 11*x8 - 3.5*b9 - b10 - 1.5*b11 + objvar =E= 0; e2.. - log(1 + x2) + x6 =E= 0; e3.. - 1.2*log(1 + x3) + x7 =E= 0; e4.. - 0.9*x4 + x8 =E= 0; e5.. - x4 + x5 + x6 + x7 =E= 0; e6.. x1 - x2 - x3 =E= 0; e7.. x4 - 5*b9 =L= 0; e8.. x2 - 5*b10 =L= 0; e9.. x3 - 5*b11 =L= 0; * set non default bounds x6.up = 5; x8.up = 1; \$if set nostart \$goto modeldef * set non default levels * 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;