# 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:
#   A.R. Conn, N. Gould and Ph.L. Toint,
#   "The LANCELOT User's Manual",
#   Dept of Maths, FUNDP, 1991.

#   SIF input: Ph. Toint, Jan 1991.

#   classification OLR2-AN-2-1

param x{1..5};
param y{1..5};
param c := 0.85;
var a>=0;
var b;

minimize f:
	sum {i in 1..5} 0.5*(if (abs(a*x[i]+b-y[i])>15) then 1.5*abs(a*x[i]+b-y[i])-0.5*1.5^2 else
		0.5*abs(a*x[i]+b-y[i])^2 ) ;
subject to cons1:
	a+b-c <= 0;

data;
param x:=
1	0.1
2	0.3
3	0.5
4	0.7
5	0.9;

param y:=
1	0.25
2	0.3
3	0.625
4	0.701
5	1.0;

solve; display f; display x;