#Gaussian Function: More, Garbow, and Hillstrom, ACM TOMS VOL. 7 NO.1
# (March 1981) 17-41
# written in AMPL by Yu-Ju Kuo and Hans D. Mittelmann, 6/2001
param N:=3;
param M:=15;
param Y{1..M};
param TI{i in 1..M}:=(8-i)/2;
var x{1..N};
minimize obj: sum{i in 1..M}(x[1]*exp(-x[2]*(TI[i]-x[3])^2/2)-Y[i])^2;
data;
param Y:=
1  0.0009
2  0.0044
3  0.0175
4  0.0540
5  0.1295
6  0.2420   
7  0.3521
8  0.3989
9  0.3521
10  0.2420
11  0.1295
12 0.0540
13 0.0175
14 0.0044
15 0.0009;
var x:=1 0.4 2 1 3 0;