Theorem 8. For the enhanced GPU model, the completion time
using strategy A is the minimum pos
Theorem 9. Let two, tp, tr, and s define a host-to-host instance. Let
C1 and C2, respectively, be the completion time for an optimal
host-to-host execution using the original and enhanced GPU
models. C1 2 C2 and this bound are tight.
Theorem 10. When s > 1, the completion time TB of strategy B
for the enhanced GPU model is
Theorem 11. Strategy B does not guarantee minimum completion
time for the enhanced GPU model.
Theorem 12. For the enhanced GPU model, ðTB TAÞ=TA ¼ 0
when s ¼ 1 and ðTB TAÞ=TB < 1=ðs þ 1Þ 1=3 when
s > 1. The bound is tight.