Gomory's cutting plane method | Integer Linear Programming problem (Lecture.21)

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  • Опубликовано: 30 сен 2024
  • #gomorycuttingplanemethod #cuttingplanemethod #integerlinearprogrammingproblem #sandeepkumargour
    This video explains Gomory's cutting plane method
    ........................................................
    For more queries :
    Email :- sandeepkgour9@gmail.com
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    #Gomory #Gomorian #cutting #plane #integer #programming #problem

Комментарии • 188

  • @yoyomr.sourabh7449
    @yoyomr.sourabh7449 3 года назад +10

    The perfect way of teaching..
    No doubt at all..
    Thank You for giving such wonderful learning experience..💯🤘

  • @ashutosh-k1
    @ashutosh-k1 3 года назад +5

    why dont you upload these notes on github in folder so that we can refer easily

  • @abhishekmorwal9103
    @abhishekmorwal9103 5 лет назад +11

    Really helpful video👌
    Sensitivity analysis of lpp please

  • @agnosgaming2501
    @agnosgaming2501 2 года назад +3

    sir doubt hai at 2.51 min in table 2 how you decided the key element as per min ratio the 1st row is becoming the key row and 1st element i.e -1/3 is key element which will be x2 is outgoing and x1 is incoming . Can u correct me or there is something false in that equaction

  • @akshita7174
    @akshita7174 4 года назад +2

    Thanku sir...your Vedios Helped alot

  • @manishverma9172
    @manishverma9172 4 года назад +6

    Thnku sir for online lecturs you teachs & learn very simple way thank u for your help for msc students . Its very helpfull for exam .😊👌

  • @agrawalmona5904
    @agrawalmona5904 4 года назад +2

    In last interation table Xb value of S1=1 instead of 7.u should check.

    • @SandeepKumarGour
      @SandeepKumarGour  4 года назад +1

      yes you r right. there should be 1. its my writing mistake. ( remaining values and answer is right)

    • @agrawalmona5904
      @agrawalmona5904 4 года назад

      @@SandeepKumarGour yes

  • @sarthakaggarwal97
    @sarthakaggarwal97 5 лет назад +4

    What if supposedly, when we find the first gomory constraint, the values of S1 and S2 are integers? Then we will take F13/F14 as 0?

  • @ShubhamYadav-nq6gf
    @ShubhamYadav-nq6gf 5 лет назад +4

    Thanku so much best teacher for me from kajal yadav

  • @liyaqatali4890
    @liyaqatali4890 5 лет назад +3

    Sir aapke pdhane la chang bhot achha h mujhe kAl bhi smjhe aaya or aaj bhi thanks sir

  • @12amreaction
    @12amreaction 3 года назад +5

    One day before exam sir Help me a lot. You are such a blessing Sir ❤️

    • @sanjuktamozumdar2471
      @sanjuktamozumdar2471 Год назад

      keise vai??? mera toh dimag ghum raha hai

    • @Naturelover_3465
      @Naturelover_3465 Год назад

      तुम लोग भाई साल भर क्या करते हो की एक दिन एक दिन पहले पहले करते हो 😊😂😂😂😂😂

  • @sumangurnani24
    @sumangurnani24 3 года назад

    Wrong Calculation: xb1 and xb2 calculations are *WRONG*
    3(1/2)=1+(1/2) and not 3+(1/2)....3+(1/2) is not equal to 3(1/2)
    Same for the 2nd variable
    and also you have written x2 value as xb1 and x1 values as xb2.

  • @chandrimad5776
    @chandrimad5776 5 лет назад +6

    thank you so much... you saved me before exam!

  • @abhishekjanaagal3452
    @abhishekjanaagal3452 6 лет назад +4

    Gomory Method ki phle video milli jisme itne ache s smjhaya hai

  • @yogiadityanath7983
    @yogiadityanath7983 2 года назад +1

    Sir, Agar ham Cj-Zj se karte hai to entering variable ke lie minimum lena h kya

  • @AWSFan
    @AWSFan 4 года назад +1

    What To Do For Artificial Variables? Rule Says That Artificial Variables Unlike Other Basic Variables, should not be counted for 'm' value after they leave the basis in the final optimal simplex/BIG M tableau...please explain this concept...Thank You

  • @kimjennie5147
    @kimjennie5147 2 года назад

    Second table one min ratio mein one is positive and another is negative how to conclude outgoing

  • @latasewag5543
    @latasewag5543 12 дней назад

    thanku so much ...u explained it so well....i have exam today learned this lengthy process easily..thanku again

  • @aaishaansari4977
    @aaishaansari4977 3 года назад +2

    Masha allah ☺☺

  • @farhatalam6782
    @farhatalam6782 5 лет назад +2

    Thanks sir but plz give me the solution of mixed integer cutting plane algorithm

  • @jyotikumawat7254
    @jyotikumawat7254 4 года назад +1

    Sir plz make video on addition n subtraction of variable

  • @mukeshsirvi5152
    @mukeshsirvi5152 4 года назад

    You did wrong value of x2 is wrong

  • @igniteminds3043
    @igniteminds3043 5 лет назад +1

    Mere bhai delta j -28/11 ?Aur -15/11 aayega tabhi to solution hamara optimal hoga

    • @SandeepKumarGour
      @SandeepKumarGour  5 лет назад

      Alg alg references books me procedure b different hoti h, yha pr mene "Operations Research by S.D. Sharma" ka reference
      Iya h.
      Watch complete playlist :-
      Operations Research in hindi | Computer Oriented Optimization Technique (COOT): ruclips.net/p/PLEjRWorvdxL6ZDh5HbigDyuwgeW2WW0zs
      Thax for watching☺

  • @gogreenclubindia
    @gogreenclubindia 3 года назад

    Sir ji kuhn-tucker condition pe video bnaye

  • @sniperabbypubg8433
    @sniperabbypubg8433 2 года назад

    dalta j= cj -zj then how the value of dal j is positive if zj=0 and for max. condition
    cj-zj

    • @SandeepKumarGour
      @SandeepKumarGour  2 года назад

      There are two different optimal condition according to different reference books
      1. ∆j=Zj-Cj
      2. ∆j=Cj-Zj both are correct, but further procedure will be some different. So follow only one completely
      Thax for watching

  • @raghunathbhowmik4060
    @raghunathbhowmik4060 3 года назад

    Guys don’t believe blindly simplex table calculation
    Bahot sara galat han

    • @SandeepKumarGour
      @SandeepKumarGour  3 года назад

      Kuch galat nhi h, SD SHARMA BOOK ka example h, sabhi calculation correct h, shyd aap kisi or book ko study kr rhe h, simplex method ko 2 type se apply kiya jata h, dono hi sahi h

  • @PradeepKumar-td8cw
    @PradeepKumar-td8cw 2 года назад +1

    Thank you very much for this much concept clearity....

  • @NasimAkhtar-ov6lk
    @NasimAkhtar-ov6lk 5 лет назад +3

    Oho ho!!!
    Wt a way to teach❤️
    Thanks sir g..

  • @anilkumarvishwakarma3122
    @anilkumarvishwakarma3122 3 года назад +1

    Thanku sir

  • @jiteshkumar3112
    @jiteshkumar3112 4 года назад +1

    at 18:40 how you filled R2 ? i think you have taken wtrong operation

  • @shubhamkumarjha8321
    @shubhamkumarjha8321 5 лет назад +5

    you did wrong in 2nd row...x2 should be outgoing...

  • @abhaypatel6
    @abhaypatel6 2 года назад +1

    row 3 me xb 7 kaise hoga

  • @dakumar4332
    @dakumar4332 2 года назад

    your explanation is great but this this process is very complicated

  • @AnkitSaiyan
    @AnkitSaiyan 3 года назад +1

    Thank you sir 😍

  • @gogreenclubindia
    @gogreenclubindia 3 года назад

    M.sc. Final

  • @d-freshapp8362
    @d-freshapp8362 4 года назад +1

    Cutting plane method and gomory method same h kya???
    Agr kisi que m sirf ye dia ho k solve this lpp koi method na btaya ho to kya hum koi b method use kr skte h sir...

    • @SandeepKumarGour
      @SandeepKumarGour  4 года назад +1

      ha dono method same h,
      branch and bound alg method h.
      ydi question me nhi diya h tb aap koi si b method aaply kr skte ho

    • @d-freshapp8362
      @d-freshapp8362 4 года назад

      @@SandeepKumarGour ok sir thanks

  • @ayushrajput1822
    @ayushrajput1822 Год назад

    When we solve it by simplex method then the value will come 7/3 instead of 7/2

  • @madanmahat7170
    @madanmahat7170 4 года назад +1

    Tq so much sir

  • @ummedkumar8523
    @ummedkumar8523 4 года назад +1

    Sir please sensitivity analysis of lpp

  • @hiteshmore4134
    @hiteshmore4134 3 года назад +1

    How is S1 considered basic variable while applying gomorys constraint second time ??

    • @somebuddy8104
      @somebuddy8104 3 года назад

      Ho gayi kya qtim ki padai hitesh?

    • @hiteshmore4134
      @hiteshmore4134 3 года назад

      @@somebuddy8104 Padhai kabhi puri hoti kya😂

    • @somebuddy8104
      @somebuddy8104 3 года назад

      @@hiteshmore4134 lol :)

  • @syedmuhammadzainali7154
    @syedmuhammadzainali7154 Год назад

    Agar -1/7=-1+6/7 hy chlo yh to fraction positive hy but jese -4/3= -1-1/3 abb kia -1/3 ka again fraction lyn gy?? Please jldi response

    • @SandeepKumarGour
      @SandeepKumarGour  Год назад +1

      -3+5/3 bhi likh skte h

    • @syedmuhammadzainali7154
      @syedmuhammadzainali7154 Год назад

      @@SandeepKumarGour thank you so much

    • @syedmuhammadzainali7154
      @syedmuhammadzainali7154 Год назад

      @@SandeepKumarGour aik confusion hy bro wo yh k ab jese x1 integer hy x2 ,x3 and s1 real main hyn ab hum ny x2 and x3 ka fraction dekhna hy k konsa maximum ya s1 ko bhi?? Please yh confusion door kryn

  • @_atvworld.edits_3875
    @_atvworld.edits_3875 3 года назад

    Pta nhi kya smja rha hai bk bk bs....

  • @ayushgupta9242
    @ayushgupta9242 2 года назад

    Thanks sir koi nh samjha pa rh tha pure RUclips pr sir thanx you so much sir 👍👍🙏🙏🙏🙏🙏

  • @madhuribhagat8969
    @madhuribhagat8969 3 года назад

    Thanku sir 👌very good explanation...
    Sir parametric linear programing se related example btaiye...please.

  • @ritu1410
    @ritu1410 Год назад

    Thankyou sir for this outstanding video... It made everything crystal clear

  • @bharatjajpura4206
    @bharatjajpura4206 3 года назад

    aapka simplex method ko use karna thoda confusing h
    \

    • @SandeepKumarGour
      @SandeepKumarGour  3 года назад

      aap pahle simplex method ka video dekh le, fir confusion nhi hoga

  • @preetirajput2837
    @preetirajput2837 5 лет назад +1

    Sir please upload video of geometric programming n Quadratic programing also. no video of this available on you tube in easy language.

    • @sukantanayak8443
      @sukantanayak8443 5 лет назад

      You may refer ruclips.net/video/Qzx6_hMxIzo/видео.html

  • @mathsbysanjay8558
    @mathsbysanjay8558 5 лет назад +1

    Sensitivity analysis par video banao

  • @GameBlitz1032
    @GameBlitz1032 2 года назад

    JB math smghana nahi ata to asey dekh kr btaney ka koi Faida nahi

    • @SandeepKumarGour
      @SandeepKumarGour  2 года назад

      Pls watch the complete playlists
      Operations Research in hindi | Computer Oriented Optimization Technique (COOT): ruclips.net/p/PLEjRWorvdxL6ZDh5HbigDyuwgeW2WW0zs

  • @LeetCodeVision
    @LeetCodeVision 5 лет назад +1

    Sir , how does it work at 20:46 . You show del(j) values as 0 0 0 0 8 , when it should be 0 0 0 1 150/49

    • @ashutoshswain7087
      @ashutoshswain7087 9 месяцев назад

      Tera bhi calculation galat hai, uska bhi calculation galat hai 😂 it's 0 0 0 1 8 usne ek extra 0 pel diya hai udhar

  • @selfcreator3841
    @selfcreator3841 2 года назад

    Kitna lengthy hai

  • @jayamoonat9626
    @jayamoonat9626 2 года назад

    Ty sir

  • @shivamshukla8400
    @shivamshukla8400 2 года назад

    Dhanyawad sir

  • @chinmoygogoi005
    @chinmoygogoi005 2 года назад

    Sir what happened if x1=1/3and x2= 2..then whis value we take maximum?

  • @SHIVA-gl1mo
    @SHIVA-gl1mo 2 года назад

    Very nice explanation sir

  • @shlokamsrivastava6782
    @shlokamsrivastava6782 3 года назад +1

    Thank you sir

  • @KPR.Singh6174
    @KPR.Singh6174 3 года назад

    Sir apka Questions rong hai sahi Karo

  • @Gaminghub3k
    @Gaminghub3k 5 лет назад

    Par maximum ke liye toh DELj ki value less than equal to hi toh hoti h fir yha pe ....wapis 2nd iteration ku bnai

    • @SandeepKumarGour
      @SandeepKumarGour  5 лет назад

      LPP ko details me samjhne k ly playlist jarur dekhe...
      Operations Research in hindi | Computer Oriented Optimization Technique (COOT): ruclips.net/p/PLEjRWorvdxL6ZDh5HbigDyuwgeW2WW0zs
      I hope, It will help you .😊

  • @princikasharma3677
    @princikasharma3677 4 года назад

    kya ipp me minimum objective function me gomory method lg skta h . m waiting ur response...

  • @shikhajaiswar7691
    @shikhajaiswar7691 4 месяца назад

    Thank you sir 🙏

  • @rohandevaki4349
    @rohandevaki4349 4 года назад +1

    you are a very nice teacher sir, thanks

  • @ankurchoudhary3255
    @ankurchoudhary3255 3 года назад

    Thnx sir ,very helpfull

  • @muskanmalvi785
    @muskanmalvi785 2 года назад

    Thank you sir very well explained

  • @nikitachaudhary1045
    @nikitachaudhary1045 5 лет назад

    Sir the optimality condition for max. is cj-zj is less than equal to 0 but here values are - ve i. e -7 and -9 so optimality is reached but why u r doing futher...

    • @SandeepKumarGour
      @SandeepKumarGour  5 лет назад

      Watch the video with complete steps.
      ruclips.net/video/tC1XMf4IVV0/видео.html

    • @manishkoshle6900
      @manishkoshle6900 5 лет назад

      Vha sayd zj - cj greater than equal liye h...

  • @AshishKumar-rj9qk
    @AshishKumar-rj9qk 3 года назад

    How to write 4/7 in integer and fraction part

  • @Brijeshkumar-cz7ym
    @Brijeshkumar-cz7ym 4 года назад

    Very nice sir mai Brijesh Kumar Sahani b. Sc final Year ka student

  • @kkhhjjhj
    @kkhhjjhj 5 лет назад

    Sir game theory par video banao
    You tube par kahi nhi h systematically
    Reply.........

  • @shivamdubey4789
    @shivamdubey4789 Год назад

    Very nice sir

  • @simisharma2880
    @simisharma2880 5 лет назад

    It's a maximization problem...so cj-zj terms are negative or zero....thus it should be -9, 0, -28/11 , -6/11 ....cj-zj values you wrote wrong in each of the tables ...

    • @SandeepKumarGour
      @SandeepKumarGour  5 лет назад

      Here we calculate Zj- Cj , therefore calculation procedure is different.
      Please watch my complete series for operations research
      ruclips.net/p/PLEjRWorvdxL6ZDh5HbigDyuwgeW2WW0zs

    • @simisharma2880
      @simisharma2880 5 лет назад

      @@SandeepKumarGour thanks for ur reply.. but I want to ask that in simplex method don't we take cj-zj ..(reference- Gupta and hira book) ..so taking that in consideration my doubt is as it is a maximization problem..so all the values finally obtained should be negative or zero...

    • @SandeepKumarGour
      @SandeepKumarGour  5 лет назад

      Yes you are right. Procedures may be different according to different references books.
      I have referred "operations research" by S.D. Sharma

    • @simisharma2880
      @simisharma2880 5 лет назад

      @@SandeepKumarGour noted. Thank you!

  • @aashisali6822
    @aashisali6822 4 года назад

    m ki value kya le agr basic varible me x1 ,x2 ,S1 hota hain to

    • @SandeepKumarGour
      @SandeepKumarGour  4 года назад +1

      ydi basic varible column me x1,x2,s1 h tb m=3 hoga

  • @utkarshsinghalus3085
    @utkarshsinghalus3085 5 лет назад

    Bhai tum to RTU VALE BANDO HO

  • @kirankhalid9588
    @kirankhalid9588 4 года назад

    i have a question..
    why you take 6/7 in f25 in gomorian 2 formula??
    please reply must....!!

    • @SandeepKumarGour
      @SandeepKumarGour  4 года назад +1

      f25 should have positive value, we have -1/7 i.e negative, therefore we write positive fraction part ( -1+6/7=-1/7)
      thax for watching.

    • @kirankhalid9588
      @kirankhalid9588 4 года назад

      @@SandeepKumarGour okay....Thank you soo much sir...
      Sir I have one more question..
      In max[∆j/Xr]=[1/-1,0/-1/2]=[-1,0]
      So which value I choose for incoming vector in this condition??
      -1 or 0....??

    • @SandeepKumarGour
      @SandeepKumarGour  4 года назад +1

      0 is maximum.

    • @kirankhalid9588
      @kirankhalid9588 4 года назад

      @@SandeepKumarGour ok thanks alot sir for replying 😊

  • @Rdtvrc
    @Rdtvrc 5 лет назад

    Jab hum gomory constant introduce kar rahe hai uske baad jab naye gomory constant ko table me insert kar rahe , to x4, x5 k coefficient ko S2, S1 ya G1 k neeche kyu likh rahe hai?

    • @SandeepKumarGour
      @SandeepKumarGour  5 лет назад

      Jab ham es method me Gomory constraints equation construct karte h, tab equation me variable jis order me aate h unhi ki according table me likhe jate h,
      Eg. Jese equation me x4 h tb uska constant 4th column "i.e s2 " ke niche aayega, x5 h tb 5th column "means g1" ke niche aayega

  • @tejrambansal3805
    @tejrambansal3805 2 года назад

    Bhut ache se smjhaya sir apne .... Tq so much 🙏🙏

  • @Precious_Treasures
    @Precious_Treasures 5 лет назад

    sir .. starting table me .jo XB ki value ...2 and 33 hain ..bo smjh nhi aayin...h ..khan se aayi h

    • @SandeepKumarGour
      @SandeepKumarGour  5 лет назад

      Key element ko '1' krne k liye key row ko 3 se divide kiya h
      R1/3
      Esk bad R2 ko update kiya h.
      For row operation watch the following video.
      ruclips.net/video/tC1XMf4IVV0/видео.html

  • @akhileashshukla484
    @akhileashshukla484 2 года назад

    Sir saf nahi dikh raha hai

  • @maheshchandgurjar986
    @maheshchandgurjar986 4 года назад

    Sir msc final LPP ka paper uplbd krvado

  • @AkashSharma-qq2fe
    @AkashSharma-qq2fe 2 года назад

    Samjao to kase aaya😐

  • @girishkumarsharma3819
    @girishkumarsharma3819 5 лет назад +1

    Thnq so much ☺️

  • @muhammadsoban4705
    @muhammadsoban4705 5 лет назад

    yeh ring utar do plzzz

  • @mumalsinghcharan9529
    @mumalsinghcharan9529 4 месяца назад

    Z kese nikala

  • @VinodKrSingh777
    @VinodKrSingh777 5 лет назад

    Very nice video sir

  • @madapanameena1320
    @madapanameena1320 4 года назад

    If it is in minimization...what to do...minimise z=×1+×2
    subject to 3×1+2×2

    • @SandeepKumarGour
      @SandeepKumarGour  4 года назад +1

      convert minimization to maximization. then solve it.
      thax.

  • @gaganmudgal9528
    @gaganmudgal9528 4 года назад

    Nice video

  • @mathsbysanjay8558
    @mathsbysanjay8558 5 лет назад

    Nice video adhe se jayda syllabus apki video dekh Kar hi PURA Kiya hai very good explanation jaldi comment ka jawab dete ho pending mein nahi dalte

  • @sujathasivakumar6422
    @sujathasivakumar6422 4 года назад

    Explain in English sir

  • @deepikamalani266
    @deepikamalani266 4 года назад

    Sir how u find the value of z in every table.

    • @SandeepKumarGour
      @SandeepKumarGour  4 года назад

      Z=CB*XB
      watch the following video
      ruclips.net/video/ewjy2NxzjRs/видео.html

  • @nirmalbairwa8981
    @nirmalbairwa8981 5 лет назад +1

    Great job 👍🏻

  • @anujverma4766
    @anujverma4766 5 лет назад

    1st table me del j postive aayega qki zj to sare 0 hi aa rhe h to cj-zj to cj hi rhega phir ye negative sign kaise aayega pls btatye isko confuse h hm

    • @SandeepKumarGour
      @SandeepKumarGour  5 лет назад

      Please watch the following video
      ruclips.net/video/tC1XMf4IVV0/видео.html

    • @renukarao2973
      @renukarao2973 4 года назад

      Bcoz he did zj-cj so the values are in negative sign.

  • @sakunsahu1753
    @sakunsahu1753 5 лет назад

    Awesome

  • @xyz-fz6me
    @xyz-fz6me 3 года назад

    Thank uh so mch sir

  • @Anjalisharma-nm8dl
    @Anjalisharma-nm8dl 3 года назад

    Nice explanation

  • @himanshupant1717
    @himanshupant1717 4 года назад

    Wow thank you for the big help wonderful explaination 👍

    • @himanshupant1717
      @himanshupant1717 4 года назад

      Can you make a video on mixed integer problem

  • @preetirajput2837
    @preetirajput2837 5 лет назад

    Very Nice explanation sir

  • @harishpariharr
    @harishpariharr 5 лет назад

    Great 🙌

  • @syedqasimhussain7799
    @syedqasimhussain7799 4 года назад

    Nice work

  • @vishalkumarsaini8588
    @vishalkumarsaini8588 5 лет назад

    Max 2x+ x2 kha sa

  • @theloveones1908
    @theloveones1908 5 лет назад

    Sir starting simplex me third table h jo uski 1 row ka 3 element 7/22 nhi aa rha h ek br usko solve krky dekhiye nhi aa rha h aur aa rha h to btayiye kaise aa rha h mera nhi aa rha

    • @SandeepKumarGour
      @SandeepKumarGour  5 лет назад

      Apni email id de do, me tmhe solution step send kr deta hu

    • @theloveones1908
      @theloveones1908 5 лет назад

      @@SandeepKumarGour sir aapne ye rule lgaya h R1=R1+R2/3 ye btayiye

    • @theloveones1908
      @theloveones1908 5 лет назад

      @@SandeepKumarGour agr sir ye lgaya h to 1/3-1/22/3 ye aayega to eska ans. 63/66 aa rha h joki 21/22 kah skty h

    • @SandeepKumarGour
      @SandeepKumarGour  5 лет назад +1

      1/3 - 1/66
      = (22-1)/66
      =21/66 { divide by 3}
      =7/22

    • @theloveones1908
      @theloveones1908 5 лет назад +1

      @@SandeepKumarGour thanku sir😇

  • @uttambhunia80
    @uttambhunia80 3 года назад

    Nice concept.👌

  • @kusagragiri7810
    @kusagragiri7810 4 года назад

    best tutorial ever

    • @SandeepKumarGour
      @SandeepKumarGour  4 года назад +1

      thank you so much..pls like n share my videos😊