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A real-time content Altering system for live broadcasts in TV terminals enables a TV viewer to obtain desired video events from multiple channel broadcasts. In order to achieve stable and reliable event filtering for multiple video inputs, real-time filtering requirements such as frame sampling rate per channel, number of input channels, and buffer condition should be considered to meet the limited capacity of the terminal. In this paper, we propose a method of selecting those requirements by modeling a filtering system using a D/M/l queue. By minimizing the queueing time of input video frames, the proposed model can maximize filtering capacity for multiple video inputs in real-time. To verify the proposed model and analysis, we perform experiments on soccer videos with the proposed model. The experimental results show that the proposed model allows for more efficient choice of requirements within limited resources.