Recent advances in wireless communications have a strong impact on the development of wireless sensor networks(WSNs). The development of wireless sensor networks can be originally promoted by military applications such as battlefield surveillance and now used in many civilian application areas. The IEEE 802.15.4 protocol is a rising standard for WSN applications because it pays particular attention to energy efficiency and communication overheads. Among the existing topologies, even though cluster-tree network is effective for WSNs, the topology suffers from restricted routing and prevents the use of many potential routing paths, which means, only a considerable amount of bandwidth is utilized efficiently in total bandwidth and rest is kept idle. As a result, extra data's may not be delivered successfully due to traffic. In the project, the Zigbee cluster-tree network model is made and the assigned bandwidth can be utilized in an effective way using enhanced distributed adoptive-parent-based (EDAP) framework. A vertex- constraint flow problem for the throughput maximization problem is developed, and then enhanced distributed algorithm is proposed to resolve this problem. Efficient throughput is achieved using simulation performances on framework and algorithm.