Approximations to GPS
Among packets that have arrived at time t:
Consider all such packets that are at the heads of their queues
- pik, pjk’ --- at heads of queues (in the GPS schedule)
Amount remaining to be transmitted: lik, ljk’ (in the GPS schedule)
Lemma: If (lik / ?i) ? (ljk’ / ?j) then pik completes no later than pjk’ in the GPS schedule