The scheduling of generalized pinwheel task systems is considered. It
is shown that pinwheel scheduling is closely related to the fair sched
uling of periodic task systems. This relationship is exploited to obta
in new scheduling algorithms for generalized pinwheel task systems. Wh
en compared to traditional pinwheel scheduling algorithms, these new a
lgorithms are both more efficient from a runtime complexity point of v
iew, and have a higher density threshold, on a very large subclass of
generalized pinwheel task systems.