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## st_e30.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.
• Marin, R, Points of location on a fixture, 1998. Personal Communication

Point:

* NLP written by GAMS Convert at 08/29/02 12:49:54 * * Equation counts * Total E G L N X C * 16 8 3 5 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 15 15 0 0 0 0 0 0 * FX 0 0 0 0 0 0 0 0 * * Nonzero counts * Total const NL DLL * 44 30 14 0 * * Solve m using NLP minimizing objvar; Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,objvar; Positive Variables x11,x12,x13,x14; Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16; e1.. - x12*x7 - x1 + x3 =E= 0; e2.. - x12*x8 - x2 + x4 =E= 0; e3.. (-x13*x7) - x11*x9 - x1 + x5 =E= 0; e4.. (-x13*x8) - x11*x10 - x2 + x6 =E= 0; e5.. sqr(x7) + sqr(x8) =E= 1; e6.. x8 + x9 =E= 0; e7.. - x7 + x10 =E= 0; e8.. - x12 + x14 =L= 0; e9.. - x11 + x14 =L= 0; e10.. 2*x1 + x2 =G= -1; e11.. 2*x3 + x4 =G= -1; e12.. 2*x5 + x6 =G= -1; e13.. x1 + x2 =L= 1; e14.. x3 + x4 =L= 1; e15.. x5 + x6 =L= 1; e16.. x14 + objvar =E= 0; * set non default bounds x1.lo = -1; x1.up = 1; x2.lo = -1; x2.up = 1; x3.lo = -1; x3.up = 1; x4.lo = -1; x4.up = 1; x5.lo = -1; x5.up = 1; x6.lo = -1; x6.up = 1; x7.lo = -1; x7.up = 1; x8.lo = -1; x8.up = 1; x9.lo = -1; x9.up = 1; x10.lo = -1; x10.up = 1; x11.up = 3; x12.up = 3; x13.up = 3; x14.up = 3; * 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;