Task scheduling is an integrated component of Grid computing among the key technology of the Grid. P2P_Grid model, a new Grid resource management model was brought up in this paper. In this model, we made some Super-Peers to join the Grid, they divided the Grid into corresponding sub-Grid. Each Super-Peer composes one local Grid system and answers for dealing with the local Grid events; these Super-Peers in different local Grid are equal and they change messages by P2P mode. A modified Grid scheduling algorithm was drawn out based on P2P_Grid model and the idea of traditional Min_min scheduling algorithm. At last,the new algorithm was compared with traditional Min_min algorithm by simulate experimentation. It shows that the new algorithm has a better quality of system load balancing and the utilization of system resource.
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