Simplex method with artificial basis (method M).

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Uploaded: 26.02.2024
Content: simplex_m_method.rar 1338,41 kB

Product description

Simplex method with artificial basis (method M). Simplex method with artificial basis (method M). Simplex method with artificial basis (method M). Simplex method with artificial basis (method M). Simplex method with artificial basis (method M). Simplex method with artificial basis (method M). Simplex method with artificial basis (method M).


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The program for solving linear programming problems by the simplex method. Sources at Delphi with detailed comments. As well as course work, written for this program. I put 5.


The program itself, you can download and try this link: http://alexeyspace.ru/programs/8


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Program Description:


The program itself reduces the problem to canonical form, and make it iterative solution using simplex conversion table. Displays a detailed report on the progress of the solution.


There are three modes of problem solving:


1) Automatic

2) Step

3) Manual


In the first mode, the program automatically selects the enable column and row that provide the maximum increase or decrease of the objective function. And automatically recalculates all of the tables.


In step mode, each converted table is displayed. This mode is useful to view the intermediate results of the solution. Permissive column and row, in this mode, the program selects itself.


In manual mode, the user selects the resolution of the row and column.


It is also possible to export all tables, obtained in the course of solving the problem in Excel.

Additional information

The content of the archive:


1) The program (exe-file);

2) source code on Delphi 7 and Delphi XE;

3) Coursework (51 lists submitted by 5);

4) The flowchart of the program (6 sheets made in Word);

4) Help file that contains detailed description of the program;

5) A few examples of the calculation program.


The archive contains two versions of the source. The first - is more complicated, with the export to Excel, and more complicated interface. The second program of "simplex-lite" - is a lite version first. There is only a function of the conversion table, and saving decisions in a text file. Code to a minimum. This version is suitable for students who need a simple solution to the problem, and nothing more.

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