将线性规划模型引入拱坝优化设计

Optimization design of arch dam with linear programming model

针对优化模型的建立、优化方法的选取及其实现这一拱坝优化设计中十分重要而又困难的环节 ,从建立坝面 (上游面与下游面 )方程入手 ,将线性规划模型引入拱坝优化设计中 ,从根本上解决了目前普遍采用的非线性模型所面临的多种困难 .同时还试算了一个实例 ,用来表明新模型的可行性与多方面的优越性 .

The upstream as well as the downstream curved surfaces of the arch dam are described by a binary polynomial with 13 parameters (which can suit surfaces of any realistic arch dam). Based on this concept, a linear programming model is introduced. Many difficulties associated with nonlinear model are overcome. The feasibility and various advantages of the proposed model are illustrated by a numerical example.