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## st_z.gms:

#### References:

• Tawarmalani, M, and Sahinidis, N, Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming: Theory, Algorithms, Software, and Applications. Kluwer, 2002.
• Shectman, J P, and Sahinidis, N, A finite algorithm for global minimization of separable concave programs. Journal of Global Optimization 12 (1998), 1--36.
• Shectman, J P, Finite Algorithms for Global Optimization of Concave Programs and General Quadratic Programs, 1999. PhD thesis, Department of Mechanical and Industrial Engineering, University of Illinois, Urbana Champagne

Point:

* NLP written by GAMS Convert at 08/30/02 11:08:14 * * Equation counts * Total E G L N X C * 6 1 0 5 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 4 4 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 19 16 3 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,x3,objvar; Positive Variables x2; Equations e1,e2,e3,e4,e5,e6; e1.. x1 + x2 - x3 =L= 0; e2.. - x1 + x2 - x3 =L= 0; e3.. 12*x1 + 5*x2 + 12*x3 =L= 22.8; e4.. 12*x1 + 12*x2 + 7*x3 =L= 17.1; e5.. - 6*x1 + x2 + x3 =L= 1.9; e6.. - (-sqr(x1) - sqr(x2) - sqr(x3) + 2*x3) + objvar =E= 0; * set non default bounds * set non default levels * 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;