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Mathematical model of steel pipe blanking
Look at the tutorial yourself and you will understand. lingo should add a plus sign after every sentence. Lindo shouldn't add a number. In addition, lindo has the ability of Strendo multiplication without writing, but it can do less directly than lingo.

It's meaningless to read and write for yourself and ask what's different.

LINDO is a software package specially used to solve mathematical programming problems. Because LINDO is quick and easy to input, solve and analyze mathematical programming problems. Therefore, it is widely used in mathematics, scientific research and industry. LINDO is mainly used to solve linear programming, nonlinear programming, quadratic programming and integer programming. It can also be used to solve some nonlinear and linear equations and find the roots of algebraic equations. LINDO contains a modeling language and many commonly used mathematical functions (including a large number of overview functions), which users can call when establishing planning problems.

LINDO 6. 1 is a multifunctional tool for solving linear, integer and quadratic programming problems. The interactive environment of LINDO 6. 1 allows you to easily establish and solve optimization problems, and you can also hang LINDO's optimization engine in the program you develop. On the other hand, LINDO can also be used to solve some practical problems in complex quadratic linear integer programming. For example, on a large machine, LINDO is used to solve some large-scale complex problems, with more than 50,000 constraints and 2 million variables.

LINGO is used to solve NLP-nonlinear programming (NLP-nonlinear programming) and quadratic programming (QP-quadratic programming), in which the student version of LINGO 6.0 can reach up to 300 variables and 150 constraints, and its standard version can solve more than 10 4. Although LINDO and LINGO can't directly solve the goal planning problem, the sequential algorithm can be decomposed into planning problems that LINDO and LINGO can solve.

Use LINDO software to write the following programs and run them. Experimental steps. (1) Enter an LP ... in the model window. Using Lingo software to write a program according to the unbalanced model of output exceeding sales, that is, the mathematical model of transportation problem is: the natural form (mathematical form) ... very similar, almost no difference, you can master it without special learning. ... there are some functions in Lindo that can help find errors, one of which is the menu command "Report". ...

Results: x = 20y = 20 profit 100.

Argot program:

! Set x production unit and y production unit;

! Objective function;

max = 3 * x+2 * y;

! Constraints;

! Raw materials;

2 * x+3 * y & lt; = 100;

! Working hours;

4 * x+2 * y & lt; = 120;

! Number of units;

x & gt=5; y & gt= 10;

Running results:

Find the global optimal solution.

Target value: 100.0000

Total number of solver iterations: 2

Variable value reduces cost

X 20.00000 0.000000

20.00000 yen

Line slack or excess double price

1 100.0000 1.000000

2 0.000000 0.2500000

3 0.000000 0.6250000

4 15.00000 0.000000

5 10.00000 0.000000

Sensitivity analysis results:

Range with constant cardinality:

Range of objective coefficient

Currently allowed

Variable coefficient increases and decreases.

x 3.000000 1.000000 1.666667

Y 2.000000 2.500000 0.500000

Right range

Allowable row current

RHS increase and decrease

2 100.0000 60.00000 20.00000

3 120.0000 40.00000 40.00000

4 5.000000 15.00000 infinity

510.0000010.00000 infinity

Look at the result analysis yourself, there are both!

order

Introduction to Chapter 1

1. 1 Basic concept of optimization model

1. 1. 1 general form of optimization model

1. 1.2 feasible solution and optimal solution

Basic types of 1. 1.3 optimization model

1.2 optimization problem modeling example

1.2. 1 linear programming model

1.2.2 Quadratic programming model

1.2.3 nonlinear programming model

1.2.4 integer programming model

1.2.5 Other optimization models

Introduction of 1.3 LINDO/LINGO software

Basic functions of 1.3. 1 LINDO/LINGO software

The solution process of 1.3.2 LINDO/LINGO software

Several basic problems in establishing LINDO/LINGO optimization model.

Exercise 1

Chapter 2 Basic use of LINDO software

2. Introduction of1lindo

2. 1. 1 LINDO software installation process

2. 1.2 Write a simple LINDO program.

2. 1.3 Some considerations

2.2 Sensitivity analysis

2.3 the solution of integer linear programming

Solution of 2.4 * Quadratic Programming

2.5LINDO's main menu command

2.6 * lindo command window

2.7 * LINDO command script file

2.8 * Appendix: MPS format data file

Exercise 2

Chapter 3 Basic usage of LINGO software

3. Introduction to1lingo

3. 1. 1 Lingo software installation process and main functions

3. 1.2 using LINDO model in LINGO

3. 1.3 Write a simple LINGO program.

3.2 Use collections in jargon

3.2. Basic usage of1set and basic elements of LINGO model

3.2.2 Basic Set and Derived Set

3.2.3 Dense Sets and Sparse Sets

3.2.4 Application summary of sets

3.3 Operators and Functions

3.3. 1 operator and its priority

Basic mathematical function

3.3.3 Set the cycle function

3.3.4 Setting operation function

3.3.5 Variable boundary function

3.3.6 Financial accounting function

Correlation function in probability theory

File input and output functions

Result reporting function

3.3. 10 Other functions

3.4LINGO's main menu command

3.4. 1 file main menu

Edit main menu

3.4.3LINGO system (LINGO) main menu

3.5 login command window

Exercise 3

Chapter 4 Interface between Lingo Software and External Files

4. 1 Passing data through the WINDOWS clipboard

4. 1. 1 Use the paste command

4. 1.2 Usage of Special Paste Command

4.2 Data transmission through text files

4.2. 1 Input data through text file

4.2.2 Output data through a text file

4.3 Data transmission through spreadsheet files

4.3. 1 Use the data of spreadsheet file in LINGO

4.3.2 Embedding and linking LINGO model into spreadsheet file.

4.4LINGO command script file

4.5 Appendix: argot error information

Exercise 4

Chapter V Optimization of Production and Service Operation Management

5. 1 production and sales planning issues

5. 1. 1 Example of the problem

5. 1.2 modeling

5. 1.3 solving the model

5.2 Multi-level production planning problem with bottleneck equipment

5.2. 1 Example of the problem

make a model

Solving model

5.3 blank question

5.3. 1 steel pipe cutting problem

Cutting of canned food

5.4 Interview sequence and fire truck scheduling problems

5.4. 1 interview sequence

5.4.2 Fire Engine Scheduling Problem

5.5 Aircraft Positioning and Flight Planning

5.5. 1 Precise positioning of aircraft

5.5.2 Flight plan issues

Exercise 5

Chapter VI Economic and Financial Optimization

6. 1 Economic equilibrium and its application

6. 1. 1 single manufacturer and single consumer

6. 1.2 situation of two producers and two consumers

6. 1.3 auction and bidding issues

6. 1.4 traffic flow balance problem

6.2 Portfolio Problems

6.2. 1 Basic Portfolio Model

6.2.2 Portfolio Model of Risk-free Assets

6.2.3 Portfolio Model Considering Transaction Costs

6.2.4 Simplifying the Portfolio Model with Stock Index

6.2.5 Portfolio model under other objectives

6.3 marketing issues

6.3. 1 new product market forecast

6.3.2 Utility function of product attributes

6.3.3 Air ticket sales strategy

Exercise 6

Chapter 12 Some Optimization Problems in Mathematical Modeling Competition

A flight management problem

12. 1. 1 problem description

Model 12. 1.2 and its solution

12. 1.3 model 2 and its solution

12.2 steel pipe ordering and transportation

12.2. 1 problem description

12.2.2 freight matrix calculation model

12.2.3 traffic volume calculation model and its solution

12.3 vehicle arrangement for open-air production

12.3. 1 problem description

12.3.2 traffic planning model and its solution

12.4 hole detection

12.4. 1 problem description

12.4.2 optimization model and its solution

Exercise 12

Look at this webpage/~ jlindo/lindo-contents.htm.