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VED1
E L-LOVELY-H math27-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

Dilfraz Singh, Lovely Professional University fJekJh^27 L o/yh gq'rokfwzr

fJekJh^27L o/yh gq'rokfwzr B'N

(Linear Programming)

ftP/ t;s{ (Contents)
T[d/P (Objectives)
gq;sktBk (Introduction)

27H1 o/yh gq'rokfwzr dk noE (Meaning of Linear Programming)
27H2 PosK ns/ ;XkoBheoD (Conditions and Generalisation)

27H3 cow d/ f;XKs T[Zs/ T[g:'r (Application to the Theory of the Firm)
27H4 o/yh gq'rokfwzr dhnK ;hwktK (Limitations of Linear Programming)
27H5 ;koKP (Summary)

27H6 Ppde'P (Keywords)
27H7 nfGnk; gqPB (Review Questions)

27H8 ;zdoG g[;seK (Further Readings)

T[d/P (Objectives)
fJ; fJekJh d/ nfXn?B s'A pknd ftfdnkoEh :'r j'Dr/L

• o/yh gq'rokfwzr d/ noE, PosK ns/ ;XkoBheoD Bkb ;zpzXs ikDekoh gqkgs eoB
ftZu.

• cow d/ f;XKs T[Zs/ T[g:'r dh ikDekoh gqkgs eoB ftZu.
• o/yh gq'rokfwzr dhnK ;hwktK B{z ikDB ftZu.

gq;sktBk (Introduction)

o/yh gq'rokfwzr fJZe rfDse ftXh j? fi;dk rfDs^ftfrnkBh ikoi v?Bfir (George Dantzig)
B/, ;/BktK B{z g{osh gj[zukT[D dh ;wZf;nk Bkb ;zpzXs nwohek dh jtkJh ;/Bk d/ ftfGzB ekoiK
dh :'iBk pDkT[D d/ bJh, 1947 ftZu ftef;s ehsk ;h. cow d/ nkofEe f;XKs, gqpzXkswe
noEPk;so, nzdo{Bh gqd/fPe tgko, ;XkoD ;zs[bB ftPb/PD, efbnkD noEPk;so ns/ ftek;
nk:'iB ftZu gq:'r d/ bJh th fJ;dk ftek; j'fJnk j?. fJ; nfXnkJ/ ftZu cow Bkb ;zpzXs
o/yh gq'rokfwzr dh ftnkfynk ehsh ik ojh j?.

27H1 o/yh gq'rokfwzr dk noE (Meaning of Linear Programming)

nfXeheoD ns/ fBT{BswheoD dhnK ;wZf;nktK B{z nkPktkdheoD (optimisation) dhnK
;wZf;nktK th efjzd/ jB. fJBQK ;wZf;nktK B{z jZb eoB d/ bJh noEPk;sohnK d[nkok fijVhnK
seBheK ngDkJhnK iKdhnK jB T[jBK B{z o/yh gq'rokfwzr efjzd/ jB. o/yh ;wZf;nktK d/ o{g ftZu
e[ZM gqfspzXK (constraints) d/ ofjzd/ j'J/, nkPktkdh fBofDnK d/ ftPb/PD d/ bJh fJj fJZe
rfDse seBhe j?. rfDse GkPk ftZu fJj T[jBK ;kohnK ;wZf;nktK T[Zs/ bkr{ j[zdh j? fiBQK ftZu,
e[ZM uoK d/ o{g ftZu ftnes o/yh n;wkBsktK dk ftt;Ek d/ ofjzd/ j'J/ nfXeheoD
(maximisation) ns/ fBT{BswheoD (minimisation) d/ jZbK dh Io{os j[zdh j?.i/eo x ns/ y,

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