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The technology of flow-based QoS control on wireless LANs is receiving a lot of attention. There are several QoS technologies that can provide bandwidth guarantees by using TCP congestion control (QoS-TCP) and MAC control (QoS-MAC). Unfortunately, since QoS-TCP runs on the end terminal, it is possible that QoS-TCP will attempt to guarantee bandwidth without the permission of the network administrator (e.g. a hotspot service provider). In such a case, it is possible that these flows compress the throughout of coexisting flows unfairly. That is, it is possible for a non-priority flow to claim to be a priority flow by using QoS-TCP without the permission of the network administrator. We call such flows greedy flows. The purpose of this study is restraining such greedy TCP flows by using QoS-MAC over the wireless LAN network. This study evaluates the performance of our proposal by using ns-2. Simulations show that the proposal can control the greedy flows by using a QoS-MAC.