并行设计中迭代收敛的特征分析

Feature of Iteration Convergence in Concurrent Design

利用未完成任务量每次完工比例这一参数,重新建立任务转移模型,深入分析设计迭代过程中任务转移矩阵特征值与任务总量收敛速度的关系、特征向量与任务总量的关系,并将新建模型与现有模型进行对比分析,发现该参数导致设计迭代过程任务总量的增加和收敛速度的减小,随着该参数的增大,任务总量逐渐减少,收敛速度逐渐加大,当参数取最大值时,现有的任务转移模型成为新建模型的特例。最后,通过实例证明此模型更具一般性。

A parameter, proportion of all work on every task in each stage, is introduced to build a new WTM. Based on this new WTM, this paper deeply analyzes the relationships between the eigenvalue and the convergence rate of the total work, and the relationships between the eigenvector and the total work. By comparative analysis between the existing WTM and new WTM, it is investigated that this parameter causes the increasing total work and decreasing convergence rate, and the existing WTM is just a speciality when this parameter becomes the maximum. Finally, the generality of the new WTM is tested by the design process of the camera.