Transportation problem [ MODI method - U V method with Optimal Solution ] kauserwise
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- Опубліковано 28 лип 2024
- NOTE:
Formula "pij = ui+vi-Cij" according to this formula the optimal values should be Zero or less than Zero which mean Zero or negative values, and in this formula if we did not reach the optimality then we should select the maximum positive value to proceed further.
If you use this Cij-(u1+vj) formula then the values should be zero or positive value to reach the optimality, and in this formula if we did not reach the optimality then we should select the maximum negative value to proceed further. We can apply either any one of the formula to find out the optimality. So both formulas are doing same thing only but the values of sign (- +) will be differ.
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00:00 Transportation model UV method by kauserwise
00:33 What are the two phases in Transportation model?
00:46 What the three methods are available in the transportation problem?
01:30 Transportation problem using UV method or MODI method Problem
03:16 How to check Balanced or unbalanced transportation problem?
04:17 UV | MODI | Finding Initial basic feasible solution using North West Corner Cell Method
08:16 Using UV | Modi | Finding Optimality in Transportation problem
08:46 How to find U value and V value in UV method
09:38 What is the Formula to find U value and V value in UV method
10:14 m+n-1=Cij Condition explained in Uv method in transportation problem
10:57 How to apply Ui+Vj=Cij Formula in UV | MODI method in transportation problem
14:27 How to check Penality in UV method
14:41 Pij=Ui+Vj-Cij Penality formula in UV method
15:01 Computation Penality Pij=Ui+Vj-Cij in UV method
18:20 What is the Optimality Condition for UV method
18:47 How to find new basic cell in Uv method if the condition is not satisfied
19:14 How to draw a closed loop and its conditions
30:37 Findin the total cost in UV method
![[#1]Assignment Problem[Easy Steps to solve - Hungarian Method with Optimal Solution] by kauserwise](http://i.ytimg.com/vi/rrfFTdO2Z7I/mqdefault.jpg)
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kauserwise®
Please do you have a video on integer programming?
Mam what if we take U2 AS ZERO WILL THE ANSWER BE SAME
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start directly from 9:00 for MODI/U-V Method.
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unbalanced->balanced(adding duplicate row or column)->Vam Method->uv Method/Modi Method . Enough to crack this transportation whereever u r using. Thanks For Explaination Ma'am. Sem is 2morrow so i am here.
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Just one thing about this video, shouldn't be the value of v1 be 3 in the last iteration. If you or anyone from your team has read this comment, please do clarify my confusion. Thanks in advance.
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what can we do if m+n-1 is not equal to number of allocated cell?
Ashwin Jayswal it's a degeneracy in that case we have take a constant epsilon to the least cost of value and solved as usual method
This was extremely helpful. Thank you so much.
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Thank you Balaji
I think she replaced P ij with Cij in the second step bymistake.
true