# AMPL Model by Hande Y. Benson
#
# Copyright (C) 2001 Princeton University
# All Rights Reserved
#
# Permission to use, copy, modify, and distribute this software and
# its documentation for any purpose and without fee is hereby
# granted, provided that the above copyright notice appear in all
# copies and that the copyright notice and this
# permission notice appear in all supporting documentation.                     

#   Source: Problem 11 in
#   A.R. Buckley,
#   "Test functions for unconstrained minimization",
#   TR 1989CS-3, Mathematics, statistics and computing centre,
#   Dalhousie University, Halifax (CDN), 1989.

#   SIF input: Ph. Toint, Dec 1989.

#   classification SXR2-AN-3-0

param M:=10;

param x_init{1..3};
var x{i in 1..3} := x_init[i];

param t{i in 1..M} := 0.1*i;

minimize f:
	sum {i in 1..M} (exp(-t[i]*x[1])-exp(-t[i]*x[2])-x[3]*exp(-t[i])+x[3]*exp(-i))^2;
subject to cons1:
	x[3] = 1.0;
data;
param x_init := 1 0 2 10 3 1.0;

solve;
display f;
display x;