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Wireless sensor network (WSN) is made up of a number of sensor nodes and base stations. The ad hoc nature of sensor deployment produces unpredictable patterns of connectivity and varied node density. Consequently, uneven bandwidth provisioning will occur on the forwarding paths. As the data converge towards the same base station, congestion may occur at sensors that receive more data than its maximum forwarding rate. Congested WSN will disturb the quality of service (QoS) which is an important aspect in sending data from one node to another. This project analyzes and enhances the performance of a WSN by deploying a simple max-min fairness bandwidth allocation technique. The simulation results show that WSN with proposed scheme offers better services where traffics are accepted in the network. Due to sufficient resources allocations, the throughput and packet delivery ratio has increased. The duration taken for the packet to be sent to the destination node has also reduced when the proposed scheme is deployed in the WSN.