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In WSNs, the ZigBee standard has gradually become the dominant communication protocol. ZigBee supports various network topologies, including tree structures. Regarding the address assignment of the tree topology, a distributed address assignment mechanism (DAAM) is specified by the ZigBee standard. Using DAAM yields a simple tree routing method; however, network parameter constraints cause the unpreventable orphan problem. Therefore, an innovative address contention approach was proposed based on a time-division multiplexing address assignment (TDMAA) mechanism, which utilizes the ZigBee beacon intervals for address contention. 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