$*************************************************************
$ Alkylation Process Optimization
$ Lorenz T. Biegler
$
$ CACHE Process Design Case Studies
$ M. Morari and I.E. Grossmann
$
$ Optimal Solution:  -1154.43
$*************************************************************


OPTIONS {{
  MINOS = "Iterations Limit = 1000";
  MINOS = "Major Iterations Limit = 1000";
  SNOPT = "Iterations Limit = 100000";
  SNOPT = "Major Iterations Limit = 10000";
  RETRY = 3;
  RANDOMX;
}}

DECLARATION {{
  XVAR {  x1,    x2,  x3,   x4,   x5, x6,   x7,  x8,  x9, x10};
  XLBD {   0,     0,   0,    0,    0, 85,   90,   3, 1.2, 145};
  XUBD {2000, 16000, 120, 5000, 2000, 93,   95,  12,   4, 162};
}}

MODEL {{
  MIN: 5.04*x1 + 0.035*x2 + 10*x3 + 3.36*x5 - 0.063*x4*x7;
  n1:  x4 - x1*(1.12 + 0.13167*x8 - 0.0067*x8^2) =e= 0;
  n2:  x7 - 1.098*x8 + 0.038*x8^2 - 0.325*(x6 - 89.0) =e= 86.35;
  l1:  x9 + 0.222*x10 =e= 35.82;
  l2:  x10 - 3*x7 =e= -133;
  n3:  x8*x1 - x2 - x5 =e= 0;
  l3:  x5 - 1.22*x4 + x1 =e= 0;
  n4:  x6*(x4*x9 + 1000*x3) - 98000*x3 =e= 0;
}}