$title Example: Fibonacci example using conditional assignments and set membership condition


set I / A, B, 1*20 /;
set J(I) /1*20/;

variable x(I), dummy_cost;

equation
	fibonacci(I)
	objective;

fibonacci(I)..
	x(I) =e= (x(I-1)+x(I-2))$J(I) + 1$(not J(I));
objective..
	dummy_cost =e= 0;

model fib /all/;

solve fib using lp minimizing dummy_cost;

display x.l;