Correction to “Queue-proportional rate allocation with per-link information in multihop wireless networks”

Prof. Jim Dai has pointed out to us that the Lyapunov function in Proposition 3 in the paper “Queue-proportional rate allocation with per-link information in multihop wireless networks” (Li and Srikant in Queueing Syst Theory Appl 83: 329–359, 2016) is not Lipschitz continuous and hence the proof of Proposition 3 does not hold. In this note, we provide an alternative proof for multihop networks where each route has at most two links. The proof in the general case remains an open problem.