Wednesday, July 4, 2007

Square Dolder Fuse Box



Linear Programming Grapher GLP

Introducción

Optimizer Linear Programming Graphics GLP is designed to solve linear constraints. The program supports up six linear constraints. This program can find optimal solutions to maximization or minimization problems automatically.

Commands -> Command
File menu -> File menu
Edit menu -> Edit Menu
View menu -> View
menu Option menu -> Options menu
Window menu -> Window menu
Help menu -> Help menu


Toolbar -> Toolbar
New -> New
Open -> Open
Save -> Save
Print -> Print
Copy -> Copy
Copy Picture -> Copy Figure
Cut -> Cut
Paste -> Paste
Auto Max -> Maximizing Auto Auto
Min -> Automatic Minimization
Auto Zoom -> Zoom
Auto Trim -> Trim
Toggle Label -> Provider
Toggle Color label - > Provider
Toggle Grey color -> gray Provider
Toggle Integer -> Provider integers
Hold -> Hold
Reset -> Undo Redo
-> Undo


How ... ... ... ... ... ... ....

1. How do I enter tags? Login

labels for both axes X and Y are needed before editing restrictions. You can enter labels on the box label.
2. How to enter restrictions?

You can enter / edit restrictions in the box constraints. GLP supports up to six linear constraints.

The inequalities (< ó >) are not allowed in the restrictions. For example, 2.0X + 3.0Y <= 3.0 y 3.0X - 4.0Y > = -5.0 are valid, but 2.0X + 1.0Y -5.0 <> are not valid. GLP

supports the optional use of labels in the constraints, ending in two points.
Example:

Task: 5.0X + 1.0Y <= 3.0

You can click on the + or - next to the box constraints to raise or lower the value on the right side of the inequality.


3. How to enter the objective function?

can write the equation of the objective function in the framework of the objective function: The inequalities are not allowed in the equation of the objective function. For example, 2.0X + 3.0Y = 3.0 is valid, but <= 3.0 ó 2.0X + 3.0Y > 2.0X + 3.0Y = 3.0 is not valid.

4. How to move a label, a line of constraint and objective function line
the mouse?

can move a label, a line of restriction or a line of objective function for the mouse, just move your cursor to the line or label you want to move, and press the left mouse button to select it. You can drag the selected label or line to any desired position.
When you release the left mouse button to end the movement. However, the constraint lines can not be moved by clicking drawn when in cutting mode. You have to deactivate the cut in order to move the constraint lines using the mouse.

5. How to change the size of the scale?

can modify the size of the scale in the zoom boxes X and Y. Their values default is 6.
You can also get help to the appropriate size scale Autozoom pressing the button in the toolbar.

6. How to change the display decimal precision?

can control the decimal precision of all values. Just edit the decimal in the decimal box. You can click on the Auto + / - to increase or decrease as well. The decimal place affects the location of the Auto + / - line optimization.
7. How to change the values \u200b\u200bof X Min, Max X, Y Min and Y Max?

Min X, Max X, Y Min and Y Max are minimum and maximum values \u200b\u200bof the axes of the abscissae and ordinates. Can be changed to provide better visualization of results and graphics.
8. How to get the optimal solution? GLP

calculates the best value for the objective function, so that it complies with the constraints of linear programming model. After entering the values \u200b\u200bof the objective function and constraints can calculate the optimal decision. You can do the calculation by clicking on the button AutoMax or click AutoMin the toolbar.






Practical Work.

Instructions:

- Solve the following problem graphically.
- Linear Program to Implement the software GPL. This work will be done as a lab.


Max (z) = 2X1 + 3X2

sa:
<= 20
5X2 4X1 + 5x1 + 3x2 + X2 X1 <= 15
<= 5
X1, X2> = 0

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