  We investigate the performance of two size-based routing policies: the Size
Interval Task Assignment (SITA) and Task Assignment based on Guessing Size
(TAGS). We consider a system with two servers and Bounded Pareto distributed
job sizes with tail parameter 1 where the difference between the size of the
largest and the smallest job is finite. We show that the ratio between the mean
waiting time of TAGS over the mean waiting time of SITA is unbounded when the
largest job size is large and the arrival rate times the largest job size is
less than one. We provide numerical experiments that show that our theoretical
findings extend to Bounded Pareto distributed job sizes with tail parameter
different to 1.
