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This paper considers the downlink traffic from a base station to twodifferent clients. When assuming infinite backlog, it is known thatinter-session network coding (INC) can significantly increase the throughput ofeach flow. However, the corresponding scheduling solution (when assumingdynamic arrivals instead and requiring bounded delay) is still nascent.  For the 2-flow downlink scenario, we propose the first opportunistic INC +scheduling solution that is provably optimal for time-varying channels, i.e.,the corresponding stability region matches the optimal Shannon capacity.Specifically, we first introduce a new binary INC operation, which isdistinctly different from the traditional wisdom of XORing two overheardpackets. We then develop a queue-length-based scheduling scheme, which, withthe help of the new INC operation, can robustly and optimally adapt totime-varying channel quality. We then show that the proposed algorithm can beeasily extended for rate adaptation and it again robustly achieves the optimalthroughput. A byproduct of our results is a scheduling scheme for stochasticprocessing networks (SPNs) with random departure, which relaxes the assumptionof deterministic departure in the existing results. The new SPN scheduler couldthus further broaden the applications of SPN scheduling to other real-worldscenarios.

Robust And Optimal Opportunistic Scheduling For Downlink 2-Flow Network Coding With Varying Channel Quality and Rate Adaptation