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There have been recent attempts to develop scheduling schemes for downlinktransmission in a single cell of a multi-channel (e.g., OFDM-based) cellularnetwork. These works have been quite promising in that they have developedlow-complexity index scheduling policies that are delay-optimal (in a largedeviation rate-function sense). However, these policies require that thechannel is ON or OFF in each time-slot with a fixed probability (i.e., there isno memory in the system), while the reality is that due to channel fading anddoppler shift, channels are often time-correlated in these cellular systems.Thus, an important open question is whether one can find simple indexscheduling policies that are delay-optimal even when the channels aretime-correlated. In this paper, we attempt to answer this question fortime-correlated ON/OFF channels. In particular, we show that the class ofoldest packets first (OPF) policies that give a higher priority to packets witha large delay is delay rate-function optimal under two conditions: 1) Thechannel is non-negatively correlated, and 2) The distribution of the OFF periodis geometric. We use simulations to further elucidate the theoretical results.

Achieving Delay Rate-function Optimality in OFDM Downlink with Time-correlated Channels