E-mail Webmaster
_______________ Navigation
Home ________________ TI Graphing Calculators TI Programs Brief User Guides Casio Graphing Calculator Casio Programs Casio Programming
Keystrokes Scientific Calculators =============== Casio Calculadoras
Breve Guía Español Calculadoras Científicos
|
SIMPLEX METHOD WITH POSITIVE SLACK VARIABLES FOR TI-83Plus & TI-82 About this program: This program is for
those who are familiar with the simplex method that uses POSITIVE slack
variables when doing problems with mixed constraints or minimization. You must
enter the first tableau in matrix [A] with the proper slack variables and with
the proper signs for the indicator row (objective function.) The program
then manipulates rows to give a first feasible solution and displays the
solution in decimal form. The solution may be displayed in fractional
form, if appropriate, by pressing ENTER. When you are finished with the
answer, press ENTER because the program is STILL RUNNING in PAUSE Mode to permit scrolling the
matrix. DISCLAIMER: This program is free, and, therefore, I make no claims about it's efficacy, efficiency, or proper operation. This is a new program as of 8/15/03. If you find a problem with this program, or can suggest improvements, please e-mail me at knosummath@aol.com . Use of this Program: This is NOT my program and I take no credit for the program ideas or flow. This is a translation of a program that was written by someone for a Casio Calculator. I have not been able to determine the author. I believe the program is the same, or almost the same, as the program called LINPROG in the Casio CFX-9850 Calculator. I have made a few changes in the program and, of course, changed the coding symbols where appropriate, but I do not want to claim that this is my program. I have found no indication anywhere that this program is copyrighted, but to err on the side of caution, I suggest you make only one copy and be sure not to publish it for profit. If you find that it is copyrighted, let me know and I'll immediately delete this program.
Now for using it: Let's do this a maximization problem: Using slack variables, the first tableau
will be this: Plug that into matrix A; go to your program and execute it. After a few seconds your answer will be displayed. Standard Minimization problem:
(Be sure you know what standard minimization means.) We can look at this problem like this: So, our first tableau is this: Enter that into matrix A; execute the
program and enter 3 when the Menu appears. The display will be this: Notice that -5.4 is the negative of the minimum, 5.4, and that y1 = 0.6 and y2 = 1.8. Mixed ≤ and ≥ problem: Then our first tableau will be this: Enter that into matrix A; execute the
program and enter 2 from the Menu. The display will be this: Last Revised: 8/23/03 |