Scilab/C4/OptimizationUsingKarmarkarFunctions/English
Title of script: Optimization of Linear Functions with Linear Constraints Using Scilab
Author: Mukul R. Kulkarni
Keywords: Scilab, Optimization, karmarkar
Visual Cue  Narration 

Display Slide  Welcome to the spoken tutorial on
'Optimization of Linear Functions with Linear Constraints Using Scilab' 
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In this tutorial, We will learn
And

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Optimization means

* These constraints are also in the form of some functions of the variables.
 
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The Scilab function Karmarkar is used for
We will solve the following example using the karmarkar function: Minimize minus three 'x' one minus 'x' two minus three 'x' three for two 'x' one plus 'x' two plus 'x' three is less than or equal to two. 'x' one plus two 'x' two plus three 'x' three is less than or equal to five. two 'x' one plus two 'x' two plus 'x' three is less than or equal to six.
Note that all the functions objective functions as well as constraints are linear

help Karmarkar

Before we solve the given problem go to scilab console and
type help karmarkar and press Enter. We can see the calling sequence of the argument. The argument explaination, description and some examples in the help browser. Close the help browser We will summarize the input and output arguments here
'y' opt

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Scilab Function: karmarkar

Input arguments are 'Aeq' 'beq' 'c' 'x' zero 'rtolf 'gam' 'maxiter' 'outfun' 'A' 'b' 'lb' and 'ub'

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We can now solve the given example in Scilab using karmarkar function.
Go to the scilab console and type 
Scilab Console
A =
1. 2. 3. 2. 2. 1.
b =
5. 6.
c =
 1.  3. Enter
lb =
0. 0.
0.0000076 1.5999902
70.

'A' equals to open square bracket, two <space> one <space> one <semicolon> one <space> two <space> three <semicolon> two <space> two <space> one, close the square bracket.
'b' equals to open square bracket, two <semicolon>five <semicolon> six, close the square bracket.
'lb' equals to open square bracket, zero <semicolon> zero <semicolon> zero, close the square bracket.
In which they have been listed above, while calling the function 
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Summary 
In this tutorial, we learned
And

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To contact the scilab team, please write to contact@scilab.in 
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About the Spoken Tutorial Project 
Watch the video available at the link shown below
It summarises the Spoken Tutorial project If you do not have good bandwidth, you can download and watch it 
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The Spoken Tutorial Project Team
Conducts workshops using spoken tutorials Gives certificates to those who pass an online test s For more details, please write to contact@spokentutorial.org 
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Spoken Tutorial Project is a part of the Talk to a Teacher project
It is supported by the National Mission on Education through ICT, MHRD, Government of India More information on this Mission is available at: http://spokentutorial.org\NMEICTIntro 
Anuradha Amrutkar from IIT Bombay
Thank You for joining. 