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Bluetooth is a typical short-range radio packet ad-hoc technique that is attractive in the rapid formation of a personal area network and inter-connection of different portable mobile devices. Compared with many high-speed wireless LAN techniques, Bluetooth provides a moderate link speed because each link is only allocated with 1 MHz bandwidth. In order to increase the link utilization, Bluetooth introduces the flexible usage of asymmetric link capacity allocation. It means different speeds are allowed in two directions of a link that flow from the master to the slave and from the slave to the master. Because of this, it is possible for Bluetooth to adaptively adjust the link capacity distribution to increase the link performance with lower latency. In this paper, we use the delay cost function to analyse the capacity assignment for a Bluetooth link. Although it only focuses in solving the capacity assignment of a single link, it is also applicable to large-size multi-link and multi-hop networks. It could be extended to generic data networks with asymmetric links.