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In this paper, we propose a distributed bandwidth reservation algorithm for QoS routing in mobile ad hoc networks (MANET). The bandwidth resource is organized into TDMA time slots. Previous methods either rely on global information for time slot reservation, which is impractical, or suffer from the shortcut collision problem. In our method, both the hidden terminal problem and the shortcut collision problem are eliminated. Furthermore, our method is performed in a distributed manner, thus has a low computational complexity. Simulation results show that the reserved bandwidth of our algorithm is close to the upper bound.