针对以往关于可扩展性研究中未充分考虑并行执行时间因素,可扩展性与并行执行时间的关系仍未研究清楚的问题,深入和全面研究延迟可扩展性和并行执行时间的关系,得出并证明了不同算法-机器组合体在相同初始状态下进行延迟扩展后,若执行更快的组合体具有更好的延迟扩展性,则该组合体在扩展后仍将保持更快等重要结论.这些结论丰富了可扩展性和并行执行时间关系的研究内容,为并行计算延迟扩展获得理想扩展性能提供了理论依据.最后,通过对不同算法-机器组合体进行扩展实验,进一步验证了结论的有效性.
Concerning the problem that previous studies on the scalability do not fully consider parallel execution time, and the relationships between latency scalability and parallel execution time have not been yet studied thoroughly, this paper studied the relationships between latency scalability and parallel execution time deeply and fully. Thereby some important conclusions were drawn, and they were about the relationships between latency scalability and parallel execution time after different algorithm-machines were extended from the same initial state. Then the proof of the above conclusions was given in this paper. The derived conclusions enriched the research content about the relationships between latency scalability and parallel execution time and provided a theoretical basis for obtaining ideal latency scalability of parallel computing. Finally the important conclusions and analytical expressions were verified through experimental results obtained for different algorithmmachines.