# ex004.mod
# Original AMPL coding by Sven Leyffer, University of Dundee
#
# A simple multi-objective optimization problem due to 
# SLC Oliveira & PAV Ferreira, Bi-objective optimization
# with multiple decision-makers: a convex approach to attain 
# majority solutions, JORS, 51, 333-340, 2000.

# ... sets & parameters
set I := 1..2;			# ... dimension of the problem

# ... variables
var x{I} >= 0;

# ... objective functions
minimize  f1: x[1] + 2;
minimize  f2: exp( x[2] ) + 1;

# ... constraints
subject to

   c1: 2*x[1] + 3*x[2] >= 6;

   c2: 2*x[1] + 3*x[2] <= 12;

   c3: x[2] <= 2;