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In the stochastic networks of multi-flow fuse, some intermediate node code information before forwarding them. From the source to the destinations, the coding service can achieve the maximum throughput and network capacity. However, the analysis of the burstiness in multi-flow fuse service is almost a blank. Without such core performance modeling, the service superiority of fuse under different scene is hard to show it. We design a method of performance analysis (i.e., loss) by the min-plus operators model. We prove the loss bound probability under network coding service. The target bound includes arrival traffic, service traffic and loss packets, respectively.
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