We study a two-machine flowshop in which all processing times are inde
pendently and identically distributed, with values known to the schedu
ler. We are able to describe in detail the expected behavior of the fl
owshop under optimal and heuristic schedules. Our results suggest that
minimizing makespan might be a superfluous objective: random schedule
s are easier to construct and require significantly less intermediate
storage between the machines; moreover, they are known to be asymptoti
cally optimal.