The generalized speed-up is estimated according to the "double-stream" analyses. The term"decreasing ratio" is used to describe the influence of the hierarchical memory and the characteristics of p...The generalized speed-up is estimated according to the "double-stream" analyses. The term"decreasing ratio" is used to describe the influence of the hierarchical memory and the characteristics of parallel application on the performance. The optimization principles for parallel computation are also given.展开更多
Based on Petersen graph, a new interconnection network, the RP(k) network, is devel-oped and the properties of the RP(k) network are investigated. The diameter of the RP(k) network is [ k/2] + 2 and its degree is 5. W...Based on Petersen graph, a new interconnection network, the RP(k) network, is devel-oped and the properties of the RP(k) network are investigated. The diameter of the RP(k) network is [ k/2] + 2 and its degree is 5. We prove that the diameter of the RP(k) network is much smaller than that of the 2-D Torus network when the number of nodes in interconnection networks is less than or equal to 300. In order to analyze the communication performance in a group of nodes, we propose the concepts of the optimal node groups and the diameter of the optimal node groups. We also show that the diameter of the optimal node groups in the RP(k) network is less than that in the 2-D Torus net-work. Especially when the number of nodes in an optimal node group is between 6 and 100, the diam-eter of the optimal node groups in the RP(k) network is half of that in the 2-D Torus network. Further-more based on the RP(k) network we design a set of routing algorithms which are point-to-point rout-ing, permutation routing, one-to-all routing and all-to-all routing. Their communication efficiencies are [ k/2] +2, k + 5, [k/2] + 2, and k + 5 respectively. The RP(k) network and the routing algorithms can provide efficient communication means for parallel and distributed computer system.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No.69933020 (国家自然科学基金) the Natural Science Foundation of Shandong Province of China under Grant No.Y2002G03 (山东省自然科学基金)
文摘The generalized speed-up is estimated according to the "double-stream" analyses. The term"decreasing ratio" is used to describe the influence of the hierarchical memory and the characteristics of parallel application on the performance. The optimization principles for parallel computation are also given.
基金This work was supported by the National Natural Science Foundation of China (Grant No. 69933020) National High Performance Computing Fund.
文摘Based on Petersen graph, a new interconnection network, the RP(k) network, is devel-oped and the properties of the RP(k) network are investigated. The diameter of the RP(k) network is [ k/2] + 2 and its degree is 5. We prove that the diameter of the RP(k) network is much smaller than that of the 2-D Torus network when the number of nodes in interconnection networks is less than or equal to 300. In order to analyze the communication performance in a group of nodes, we propose the concepts of the optimal node groups and the diameter of the optimal node groups. We also show that the diameter of the optimal node groups in the RP(k) network is less than that in the 2-D Torus net-work. Especially when the number of nodes in an optimal node group is between 6 and 100, the diam-eter of the optimal node groups in the RP(k) network is half of that in the 2-D Torus network. Further-more based on the RP(k) network we design a set of routing algorithms which are point-to-point rout-ing, permutation routing, one-to-all routing and all-to-all routing. Their communication efficiencies are [ k/2] +2, k + 5, [k/2] + 2, and k + 5 respectively. The RP(k) network and the routing algorithms can provide efficient communication means for parallel and distributed computer system.
