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VED1
E L-LOVELY-H math30-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

noEPk;soh dk rfDs

B'N x j dk jo/e ;w{j fijVk gqfspzXK B{z ;zs[PN eodk j?, fJZe jZb (Solution) ejkJ/rk. e'Jh th
jZb fijVk nfoDkswe gqfspzXK (Non-negativity Restrictions) B{z ;zs[PN eodk j?, fJZe
;zGkte jZb (Feasible Solution) ejkJ/rk. fJ;h soQK Bkb e'Jh th ;zGkte jZb fijVk T[d/P
cbB (Objective Function) Z B{z tZX s'A tZX (iK fBT{Bsw) eodk j?, T[j nB[ebD ;zGkte jZb
(Optimal Feasible Solution) ejkJ/rk.
fJZE/ n;hA T[d/P cbB dk fdZs/ j'J/ gqfspzXK d/ nzsors nB[ebD ;zGkte jZb y'iD dh e'fPP
eoDr/. nB[ebD ;zGkte jZb B{z gks eoB d/ bJh n;hA gfjbK ;ko/ ;zGkte jZb (Feasible
Solution) B{z gsk eoKr/, fco T[; s'A pknd T[jBK ftZu'A fJZe ;zGkte jZb gsk eoKr/ fijVk fe
T[d/P cbB B{z tZX s'A tZX (iK fBT{Bsw) B{z ;zs[PN eodk j?, T[jh ;kvk nB[ebD ;zGkte jZb
j't/rk. fit/A^fit/A ubokPhnK dh ;zfynk tZXdh ikt/rh, T[;h soQK ;zGkte jZbK dh ;zfynk tZXdh
ikt/rh. i/eo ;kvh ;wZf;nk ftZu 6 ubokPhnK jB sK ;zGkte jZbK dh ;zfynk
j't/rh, fiZE/ fszB :[rwgd ;wheoD j'D ns/ fszB jh nfrnks w[Zb j'D.

Nk;e f;wgb?e; ftXh eh j?<

;wheoD (29H1) B{z d[pkok fJ; soQK fbfynk ik ;edk j?^

T[d/P cbB (tZX s'A tZX iK fBT{Bsw)

fBwBfbys gqfspzXK d/ nzsors

i = 1, 2 .......... m
j = 1, 2 .......... n (fJZE/ ;wheoDK B{z ;wkB pDkT[d/ j'J/)
j = 1

T[go'es nB[;ko dhnK ;wZf;nktK d/ ;zdoG ftZu fBwBfbus nXkoG{s gqw/:K dk frnkB io{oh
j?^
(1) o/yh gq:'iBk dh ;wZf;nk dk ;zGkts jZb fJZe ;fdP (Vector) X = [x 1 , x 2 , ..... x n ] j't/ sK
gqfspzX (29H1) dh g{osh eodk j?. x j d/ ;zpzX ;fdP a j j/m nB[;ko gfoGkfPs ehsk ik ;edk
j?^
a j = [a 1j a 2j ........... a mj ]
(2) okPhnK b 1 b 2 ........ b m fJZe ;szG ;fdP b d/ ;zxNe jB fi;B{z ng/fyns ;fdP
(Requirement Vector) fejk iKdk j?. fJZE/

ns/ b ≥ 0, fJZE/ 0 fJZe Iho' ;fdP j?.

(3) T[d/P cbB d/ nzsors r[DKe C 1 C 2 .......... C n B{z uoK x 1 , x 2 .......... x n d/ ;zpzX Gko
(Prices Associated) fejk iKdk j? ns/ fJBQK d/ d[nkok pD/ ;fdP B{z w[Zb okPh (Price Vector)
fejk iKdk j?, i' fe C d[nkok do;kfJnk iKdk j?. fJ; soQK

C = [c 1 , c 2 , .......... c n ]

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