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One of the important issues of convergence service design in access networks is its capability to provide an effective video delivery service for high-quality Internet Protocol television and multicast video on demand. In this paper, the authors research the effects of optical traffic sharing on convergence service design and address how to support multicast video delivery service with multicast scheduling in a shared wavelength division multiplexed- passive optical network (S-WDM-PON) which deploys a shared downstream wavelength and a broadcasting arrayed waveguide grating to a WDM-PON. The proposed dynamic channel scheduling mechanism, which is called maximum share first reservation (MSFR), and multicast management adjust transmission channel types based on the effective multicast cost of broadcast video so that the maximum number of videos can be delivered to homes by optical traffic share, while the packet processing burden and service interference among applications are reduced. The authors also discuss the network design issue regarding the optimal provisioning of shared link bandwidth to guarantee effective convergence services and economical efficiency of the network. The analysis and simulation results validate the effectiveness of the proposed mechanisms.