Scilab/C4/Optimization-Using-Karmarkar-Function/Khasi

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Time Narration
00:01 Paralok, ngi pdiangsngewbha ia phi sha ka spoken tutorial halor ka Optimization of Linear Functions with Linear Constraints Using Scilab.
00:10 Ha kane ka jinghikai, ngin sa pule:
00:12 Kamut aiu Optimization?
00:15 Bad kumno ban pyndonkam ia ka Scilab function karmarkar, na ka bynta ka optimization.
00:20 Optimization kamut
00:22 Ban minimize lane maximize ia ka objective function ba la ai.
00:26 Ia kaba la khot ruh teng teng kum ka Cost function,
00:30 Da kaba pynpher ia ki decision variables
00:33 Ki decision variables kidei ki bynta bapher sha ki predefined constraints.
00:38 Kine ki constraints kidei ruh ha ka form jong katto katne ki functions jong ki variables.
00:44 Optimization la pyndonkam bha ha kiba bun ki engineering bad kumjuh ruh ki bym dei ki bynta ka engineering kum:
00:52 Economics
00:54 Control Theory bad
00:56 Operations & Research.
00:58 Ka Scilab function karmarkar la pyndonkam na ka bynta
01:01 Ban optimize ia ka linear objective function,
01:05 Katkum ki linear constraints
01:07 Ha ki decision variables.
01:10 Ngin sa solve ia ka nuksa kaba bud da kaba pyndonkam ia ka karmarkar function:
01:14 Minimize minus three 'x' one minus 'x' two minus three 'x' three
01:19 Na ka bynta: two 'x' one plus 'x' two plus 'x' three less than or equal to two.
01:26 'x' one plus two 'x' two plus three 'x' three less than or equal to five.
01:32 two 'x' one plus two 'x' two plus 'x' three less than or equal to six.
01:36 Ha kaba 'x' one 'x' two 'x' three baroh kidei greater than lane equal to zero
01:42 Phin iohi ba baroh ki functions , objective functions bad kumjuh ruh ki constraints, kidei linear.
01:49 Shwa ba ngin solve ia ka problem ba la ai, leit sha ka scilab console bad type:
01:54 help karmarkar
01:57 Bad nion Enter.
01:59 Phi lah ban iohi ia ka calling sequence jong ka argument.
02:03 Ki jingbatai shaphang argument, ka jingbatai bniah bad katto katne ki nuksa ha ka Help Browser.
02:12 Khang noh ia ka Help Browser .
02:14 Ngin batai kyllum ia ka input bad output arguments hangne.
02:19 Ki output arguments kidei 'x' opt, 'f' opt, exitflag, iter, 'y' opt .
02:25 'x' opt: udei u optimum solution .
02:28 'f' opt: udei u objective function value ha ka optimum solution
02:33 'exitflag' : kadei ka status jong ka execution , ka iarap ban pynithuh lada ka algorithm kadei converging ne em.
02:41 'iter' : udei u number jong ki iterations ba donkam ban poi sha 'x' opt.
02:46 'y' opt : kadei ka structure kaba don ia ka artylli ki solution.
02:49 Kane ka ai ia ki Lagrange multipliers.
02:53 Ki input arguments kidei 'Aeq' 'beq' 'c' 'x zero' 'rtolf 'gam' 'maxiter' 'outfun' 'A' 'b' 'lb' and 'ub'
03:09 'Aeq'  : udei u matrix ha ki linear equality constraints.
03:12 'beq'  : kadei ka liang kamon jong ka linear equality constraint.
03:17 'c'  : udei u Linear objective function coefficients jong u 'x'.
03:21 'x' zero : udei u Initial guess .
03:25 rtolf : udei u Relative tolerance ha u 'f' of 'x' is equals to 'c' transpose multiplied by 'x'.
03:34 'gam'  : udei u Scaling factor.
03:36 'maxiter'  : udei u maximum number jong ki iterations uba hadien jong u ia ka output la pynphai.
03:43 'outfun'  : kadei ka user-defined output function ba la bynrap lang.
03:47 'A' : udei u Matrix jong ki linear inequality constraints
03:51 'b' : kadei ka liang kamon jong ki linear inequality constraints.
03:55 'lb' : udei u lowerbound jong u 'x'.
03:58 'ub' kidei ki upper bound jong u 'x'.
04:02 Mynta, ngi lah ban solve ia ka nuksa ba la ai ha ka Scilab da kaba pyndonkam ia ka karmarkar function.
04:07 Leit sha ka scilab console bad type:
04:11 'A' is 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
04:26 Bad nion Enter.
04:28 Ha kajuh ka rukom type: small 'b' equals to open square bracket, two <semicolon> five <semicolon> six, khang noh ia u square bracket.
04:38 Bad nion Enter.
04:41 Type: 'c' equals to open square bracket, minus three <semicolon> minus one <semicolon> minus three, close the square bracket.
04:53 Bad nion Enter.
04:55 Type: 'lb' equals to open square bracket, zero <semicolon> zero <semicolon> zero, close the square bracket.
05:05 Bad nion Enter.
05:07 Mynta clear ia ka console da kaba pyndonkam ia ka clc command.
05:12 Type: open square bracket, 'x' opt <comma> 'f' opt <comma> 'exitflag' <comma> iter, close the square bracket equals to karmarkar open parenthesis, open square bracket, close the square bracket <comma> open square bracket, close the square bracket <comma> 'c' <comma> open square bracket, close the square bracket <comma> open square bracket, close the square bracket <comma> open square bracket, close the square bracket <comma> open square bracket, close the square bracket <comma> open square bracket, close the square bracket <comma> capital 'A' <comma> 'small b' <comma> 'lb', close the round bracket.
06:09 Bad nion Enter.
06:11 Nion Enter ban bteng ia ka display.
06:14 Kane kan ai ia ka output kumba la pyni ha ka screen
06:18 Ha kaba xopt udei u optimum solution sha ka problem,
06:23 fopt udei u value jong ka objective function, ba la khein ha ka optimum solution x is equal to xopt
06:32 Bad u number jong ka iteration ba donkam ban poi sha ka optimum solution xopt udei 70
06:39 Sngewbha kynmaw ba: ka long kaba donkam ban pynshai ia ki input arguments ha kajuh ka order
06:46 Ha kaba la dep list ia ki hajrong ha kapor ba call ia ka function
06:51 Ha kane ka jinghikai, ngi la pule shaphang:
06:53 Kaei ka optimization?
06:55 Pyndonkam ia ka Scilab function karmarkar' ha ka optimization ban solve ia ki linear problems.
07:01 Ban iakren bad ka kynhun jong ka scilab, sngewbha thoh sha ka contact@scilab.in
07:08 Peit ia ka video ba don ha ka link harum.
07:10 Ka kyllum lang ia ka Spoken Tutorial project.
07:14 Lada phim don ia ka bandwidth kaba biang, sngewbha download bad peit ia ka.
07:18 Ka kynhun jong ka Spoken Tutorial Project
07:20 Ka pynlong ia ki workshops da kaba pyndonkam da ki spoken tutorials.
07:23 Ka ai certificates sha kito kiba pass ha ka online test.
07:27 Na ka bynta khambun ki jingtip ba bniah, sngewbha thoh sha ka contact@spoken-tutorial.org.
07:34 Spoken Tutorial Project kadei shi bynta jong ka Talk to a Teacher project.
07:37 La kyrshan ia ka da ka National Mission on Eduction lyngba ka ICT, MHRD,Sorkar India.
07:44 Kham bun ki jingtip halor kane ka mission kidon ha spoken-tutorial.org/NMEICT-Intro.
07:53 Nga i Meboreen na Shillong nga pynkut ia kane.
07:57 Khublei shibun ia ka jingsnohktilang jong phi.

Contributors and Content Editors

Meboreen Mary