lingo软件基本讲解.pptVIP

Lingo使用教程东南大学数模培训材料 LINGO is a comprehensive tool designed to make building and solving Linear, Nonlinear (convex nonconvex/Global), Quadratic, Quadratically Constrained, Second Order Cone, Stochastic,?and Integer optimization models faster, easier and more efficient. LINGO provides a completely integrated package that includes a powerful language for expressing optimization models, a full featured environment for building and editing problems, and a set of fast built-in solvers. The recently released LINGO 12.0 includes a number of significant enhancements and new features. LINGO provides all of the tools you will need to get up and running quickly. You get the LINGO User Manual (in printed form and available via the online Help), which fully describes the commands and features of the program. Also included with super versions and larger is a copy of Optimization Modeling with LINGO, /index.php?option=com_contentview=articleid=38Itemid=24 a comprehensive modeling text discussing all major classes of linear, integer and nonlinear optimization problems. LINGO also comes with dozens of real-world based examples for you to modify and expand. LINDO /LINGO软件 LINGO: Linear INteractive General Optimizer (V12.0) 求解数学规划问题 Min Z = f (x) s.t x ? D (? Rn ) 需要掌握的几个重要方面 基本语法结构 掌握集合(SETS)的应用 正确阅读求解报告 正确理解求解状态窗口 学会设置基本的求解选项(OPTIONS) 一、Lingo基本语法 1、定义了目标函数为MIN=.. 2、以一个分号“；”结尾 ——除SETS, ENDSETS, DATA , ENDDATA, END之外 3、变量可以放在约束条件右端，也可放在约束条件的左端。 4、默认假定各变量非负。 5、注释：“！” 6、、为≤、≥ 建模时需要注意的几个基本问题 尽量使用实数优化，减少整数约束和整数变量 尽量使用光滑优化，减少非光滑约束的个数 尽量少使用绝对值、符号函数、多个变量求最大/最小值、四舍五入、取整函数等 尽量使用线性模型，减少非线性约束和非线性变量的个数 如x/y 5 改为x5y 合理设定变量上下界，尽可能给出变量初始值 模型中使用的参数数量级要适当 不同参数绝对值数量级之间差距一般要求小于3 过滤条件使用——结果：0 1 Lingo条件判断函数 分段函数 二、Lingo集合 某公司有6个建筑工地，位置坐标为(ai,bi) (单位：公里),水泥日用量di (单位：吨） 解： 决策变量：料场j到工地i的运量—— cij ——12维 线性规划模型 lingo——表达式？ 目标与约束段 MODEL: Title Location Problem; sets: demand/1..6/:a,b,d; supply/1..2/:x,y,e; link(demand,supp