优化问题

Since the stability of the neural network don't require the convexity of the original maximin problem, the obtained results can be applied to solve a class of nonconvex optimization problem.

由于稳定性分析中不需要原极大极小问题的凸性，该网络可以用来求解一类非凸优化问题。

In the fourth chapter, we establish a neural network to investigatethe minimax problem.

然后，我们将上述结果用于实对称矩阵的特征问题和非线性优化问题。

The basic idea was to discrete the structure and find the load function according to the energy criterion of buckling and the principle of random displacement method. As the critical load is the minimum of the load function, a problem of frame buckling can be transformed into an optimization problem. Therefore, the critical load can be found through solving the optimization problem.

先将结构离散为一个有限自由度系统；然后根据有限自由度系统平衡稳定性的能量准则和随机位移法的基本原理，建立符合能量准则的载荷函数，该函数不为零的最小值即为临界载荷，由此将稳定问题转化为无约束的多维优化问题；最后应用遗传算法求出相应于最优解的目标函数值。

Based on the study of using the evolutionary computing to solve the Multiple Depot Capacitated Arc Routing Problem, its mathematic model was improved, so as to satisfy the demand of the sprinkler routing problem in real world.

在利用进化计算对多车场带有容量限制的弧路径规划问题(multiple depot capacitated arcrouting problem， MDCARP)进行研究的基础上，对其数学模型进行改进，以适应现实生活中洒水车路径优化问题的需要。

In this paper, MEC algorithm is introduced for a kind of non-numeric optimization problems which solution space is limit.

本文针对解空间为有限空间的非数值优化问题，提出了求解这些问题的思维进化计算通用算法框架。

The optimization of blasting parameters in engineering blasting is a complicated nonlinear programming problem.

工程爆破中的参数优化问题是个复杂的非线性规划问题。

In order to achieve accurate solutions of ill-conditioned GPS equations with a few observational epochs, the ill-conditioned normal equations of GPS rapid positioning was transformed as a function optimization problem. Then genetic algorithm was used to calculate parameter solutions, which avoided the inversion of coefficient matrix of normal equations.

为准确解算仅有少数几个历元的GPS载波相位观测数据的病态定位方程，将GPS快速定位的病态法方程求解问题转化为一个函数优化问题，应用遗传算法求解病态方程，避免了法方程的求逆运算，从而可以得到参数的近似最优解。

In the real world, combinatotial optimization problems are ubiquitous, most of which are NP completed problems.

在现实世界中，组合优化问题普遍存在，它们中的大多数属于NP完全问题。

The approach of simplized the carflow adjustment problem support by the artificial intelligent is deliberated which could solve the heavy workload of construct model and solve the optimal problem of the routine carflow adjustment problem as a network optimalization problem.

针对日常车流调整作为网络优化问题在建模和计算的NP性质，提出人工智能支持下的对车流调整问题进行简化的思路。

In chapter 1, we introduce basic definitions and notations of combinatorial optimization, scheduling problems and algorithm, worst-case ratio.

第一章简要介绍了组合优化问题、排序问题的基本概念与算法和最坏情况分析的简要介绍。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。