论文部分内容阅读
一个实际工程问题,往往对其数学规划中的变量。函数及其相互关系提出某些特殊要求,例如要求变量是离散的或者随机的,函数为某种特殊多项式,或者各部函数之间满足一种逆归关系等。我们把这类问题称为特殊的数学规划问题,以便与前述的一般非线性规划问题相区别。当然线性规划问题也可算作是一种特殊的规划,但由于它的简单性和普遍性不在这里考虑。属于结构设计中遇到的特殊规划有整数规划、几何规划、动态规划以及随机规划等,这些方法在建筑结构设计中的应用还研究得很不充分,但表明很有潜力,现按发展情况有区别地加以介绍。
A practical engineering problem is often a variable in its mathematical programming. The functions and their mutual relations put forward some special requirements, such as requiring the variables to be discrete or random, the function to be a special polynomial, or satisfying an inverse relationship among the functions of each part. We call this type of problem a special mathematical programming problem to distinguish it from the aforementioned general nonlinear programming problem. Of course, the linear programming problem can also be counted as a special plan, but it is not considered here because of its simplicity and universality. The special plans encountered in structural design include integer programming, geometric programming, dynamic programming, and stochastic programming. These methods have not been fully studied in the application of architectural structure design, but they show great potential. Introduce it differently.