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Inter-piconet scheduling in a Bluetooth scatternet may be performed in an adaptive manner so as to minimize end-to-end packet delays. Using the theory of queues with vacations, we analyze the impact of different values of scatternet parameters on end-to-end delays, and then investigate the possibility of minimization of the aforementioned delays. We show that such minimization is possible for the scatternet with the master/slave bridge, and that it should be based on inter-piconet traffic. We also describe a simple algorithm that enables the scatternet to achieve near minimum delays in a wide range of traffic parameter values.