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This paper deals with congestion control in which GRID network community has been interested. In order to solve problems of existing congestion control models like FOBS, this paper proposes the node availability-based congestion control model. The model monitors not only storage availability but also network availability of grid nodes to detect and control congestion. As using the fuzzy adaptive packet allocation mechanism, the model estimates congestion level of grid nodes and adjusts their packet transmission rate for stable and reliable data transfer in computational grid. Experiment results demonstrate that our model outperforms FOBS which is a typical congestion control model with the improved QoS.