$*************************************************************
$ Optimal Selection of Processes
$ Ignacio E. Grossmann
$
$ CACHE Process Design Case Studies
$ M. Morari and I.E. Grossmann
$
$ Optimal Solution:  -1.9231
$*************************************************************

DECLARAITON {{
  XVAR {AII,  #consumption of chemical A in process II
        AIII, #consumption of chemical A in process III
        BII,  #production of chemical B in process II
        BIII, #production of chemical B in process III
        BP,   #amount of chemical B purchased in external market
        BI,   #consumption of chemical B in process I
        CI    #production capacity of of chemical C in process I
       };

  YVAR {YI,  #existence of process I
        YII, #existence of process II
        YIII #existence of process III
       };

  POSI {AII, AIII, BII, BIII, BP, BI, CI};
  BINA {YI, YII, YIII};

  UBDS CI = {1.0};
}}

MODEL {{
  MIN:    -11*CI + 3.5*YI + YII + BII + 1.5*YIII + 1.2*BIII + 7*BP
    + 1.8*AII + 1.8*AIII;

#Input/output for process I
  l1:  CI =e= 0.9*BI;
#Input/output for process II
  n1:  BII =e= log[1+AII];
#Input/output for process I
  n2:  BIII =e= 1.2*log[1+AIII];
#mass balance for chemical B
  l2:  BI =e= BII + BIII + BP;
#logical constraint for process I
  l3:  BII =l= 4*YII;
#logical constraint for process II
  l4:  BIII =l= 5*YIII;
#logical constraint for process III
  l5:  CI =l= 2*YI;
}}