松弛分解

Aiming at the characteristic of this problem, this paper proposes an optimization strategy called ＂the active restriction relaxation approach＂ which can classify the contingency set into two subsets.

针对该优化问题的特点，提出了一种＂积极约束松弛法＂的优化策略，它能将预想事故集分解成使控制总成本最小的2个子集，并分别由预防控制和紧急控制保证其中事故的安全性。

HJB equation; quasivariational inequality; domain decomposition; convergence; iterative algorithm; relaxation algorithm; existence; multigrid method

基础科学，数学，数学分析HJB方程；拟变分不等式；区域分解；收敛性；迭代法；松弛算法；存在性；多重网格法

Using the directional derivative formula, the governing equation is discreted in the physical domain in which a nonorthogonal grid system is used. Two kinds of AF2 schemes, i. e. AF2-plane relaxation and full implicit AF2, for the TSD equation are proposed. Numerical results show that the full implicit AF2 scheme converges faster than AF2plane relaxation scheme. For the rectangular wing and swept wing, the results of the present method are compared with FP results, and the agreement is good.

采用适合于梯形机翼和后掠机翼的斜网格，利用方向导数公式直接在物理空间对主管方程进行离散；将近似因式分解方法应用于绕机翼的跨音速小扰动势流问题，提出AF2—面松弛和AF2全隐式两种迭代格式，并对它们的收敛速度进行比较，结果表明后者明显快于前者；直机翼和后掠机翼的算例表明，本文方法的结果与精确势流方法的结果吻合良好。

However, the classical Schwarz waveform relaxation method has a disadvantage, namely its convergence rate is slow.

但一般的Schwarz波形松弛算法同时也有收敛速度慢的缺点，本文就是通过将传统Schwarz区域分解算法进行改进，以加快它的收敛速度。

After summarizing the waveform relaxation methods and domain decomposition, we finish some research on optimal Schwarz waveform relaxation algorithm as follows: In the first part, we apply Schwarz waveform relaxation methods on telegraph equation system to get optimal transmission conditions to speed up the algorithm.

在对波形松弛算法以及区域分解进行了综述性介绍后，本文对Schwarz波形松弛迭代算法具体进行了以下研究：首先，本文将在电报方程系统上应用Schwarz波形松弛迭代算法，通过强制加入新的局部传输条件分别给出了两种加速算法并通过定理保证了其优化后的收敛性，进而得到优化Schwarz波形松弛算法，然后通过数值试验对传统Schwarz波形松弛算法与优化Schwarz波形松弛算法进行了比较，研究了收敛率与优化系数的关系，找到了使算法最优的系数取值；最后得出优化后的Schwarz波形松弛算法优于常规Schwarz波形松弛算法的结论。

The basis is initiative assume build model of mixture integer program, apply Lagrange flabby theory, decompose with the model flabbily through the tie, design a heuristic algorithm to undertake the model seeks solution.

根据初始假定建立混合整数规划模型，运用拉格朗日松弛理论，通过约束松弛和模型分解，设计一个启发式算法进行模型求解。

This papers makes basic analysis to ZDRL about the system, flow, objective and decompounding, enforcement, reengineering of budget Management, on this analysis I consider that TBM has been really put into work-flows with prompt discovering and controlling warp during the enforcement in ZDRL. however, it is on the traditional stage and doesn"t embody its strategy sense of corporation"s budget.

本文在对ZDRL的预算管理制度、预算编制流程、预算目标及其分解、预算执行、预算修订等方面进行具体分析的基础上，认为：该司目前的全面预算管理确实是落实到了经营管理工作中，并在执行过程中能够及时发现、控制偏差，但是还只是停留在传统预算的阶段，没有体现企业预算的战略性，预算目标与企业战略发生了脱离，预算指标不够完善，存在预算松弛现象，预算考评没有落实到薪酬制度中等问题，也没有起到顺应发展、规避风险、有效考核的作用。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。