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A multicast packet is delivered to multiple users after copying in a multicast node, so the multicast Quality of Service (QoS) is based on the performances of all receivers due to copy mechanism. A favorite multicast service is more important than other multicast services because it has more users than others. Therefore, this paper proposes a copy number based multicast scheduling algorithm in Broadband Banyan Network (BBN) to support better QoS to favorite multicast services. BBN is an extension of Banyan switching network to support a copy mechanism in switching network. When a multicast packet contends with other packets because of limited output ports in a BBN, the BBN selects multicast packets with the copy number of multicast packet. By doing so, the proposed scheduling algorithm supports better QoS to more used multicast service.