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






          Hitesh Jhanji, Lovely Professional University                              fJekJh^30 L f;wgb?e; ftXh

                                     fJekJh^30L f;wgb?e; ftXh                                     B'N

                                           (Simplex Method)


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

                   30H1  f;wgb?e; ftXh (Simplex Method)
                   30H2  ftXh d/ frDsh ;zpzXh uoD (Calculating Steps of Method)
                   30H3  ;koKP (Summary)

                   30H4  Ppde'P (Keywords)
                   30H5  nfGnk; gqPB (Review Questions)

                   30H6  ;zdoG g[;seK (Further Readings)

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

                    •   f;wgb?e; ftXh B{z ;gPN Bkb ;wMD ftZu.
                    •   ftXh d/ uoD B{z ;wMD ;zpzXh.

                gq;sktBk (Introduction)
                o/yh gq'rokfwzr ftXh ftZu n;wheoDK dh ;zfynk tZX j'D d/ ekoB rqkfce ftXh tZX ifNb j' iKdh
                j?. fJ; ftXh dk gq:'r d' iK fszB n;wheoDK dh ;fEsh ftZu ehsk ik ;edk j?. fJ; soQK
                ;wheoDK dh ;zfynk pj[s fInkdk j' ikD d/ ekoB :'rwgd ;wheoDK d/ bJh fJZe j'o rfDse
                ftXh dk gq:'r ehsk iKdk j? fi;B{z f;wgb?e; ftXh fejk iKdk j?.

                30H1 f;wgb?e; ftXh (Simplex Method)

                wzB fbU fJZe T[d/P cbB j/mK j? fi;B{z tZX s'A tZX (iK fBT{Bsw) eoBk j?^
                                                     Z = c 1 x 1  + c 2 x 2  + .............. + c n x n

                fJZE/ ;ko/ ;fEoK (C i ) dk w[Zb gsk j?.
                n;hA fJZE/ fJj th wzBe/ uZb oj/ jK fe m o/yh n;wheoD j? fi; ftZu jo/e ;wheoD ftZu n
                ubokPhnK jB. fJ; soQK gqfspzX (Constraints) j/mK jB^

                                     a i1  + a i2  + .... a in x n  {≤ = ≥} b i , i = 1, 2 .................., m                                    (30.1)



                 B'N;       fJZE/ fJZe ns/ e/tb fJZe ;ze/s (≤ = ≥) jo/e gqfspzX d/ bJh j't/rk. ubokPhnK dk
                          w[Zb jw/PK XBkswe j't/rk, Gkt x i  ≥ 0, j = 1, 2 ..... n.




                                           LOVELY PROFESSIONAL UNIVERSITY                                               361
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