f=filterOPT(Q)

% Title Economic Operation of a Fixed-Bed Filter via Nonlinear Programming

% Reference: Edgar, Himmelblau and Lasdon in Optimization of
% Chemical Processes, McGraw-Hill International Edition, 2001

% Author of the matlab file: Housam Binous, PhD, Tunis, Tunisia
% Email: [e-mail]

% The same problem was solved using Mathematica and GAMS.
% GAMS ans Mathematica files are available from the author upon request.

function f=filterOPT(Q)

q1=10;
Vb=200;
tb=10;
Vf=700*3*log10(10/0.081*1/3*1/Q);
f=116*((1E+6*q1/(1440*(Vf-Vb)/(Vf/Q+tb))))^0.86+4.73*1E+3*(Vf/(Vf-Vb)-1)*q1 ;