1. A method, comprising: operating in a frequency hopping communication network according to a common broadcast schedule for the network that simultaneously overlays a configured portion of all independently determined unicast listening schedules in the network, wherein the overlaid configured portion is based on broadcast schedule parameters consisting of a first time spent for broadcast transmissions in each broadcast period and a second time between broadcast periods; monitoring network characteristics relating to unicast traffic and broadcast traffic in the network; determining updated broadcast schedule parameters based on the network characteristics; and updating operation of the common broadcast schedule with the updated broadcast schedule parameters.