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.
Here is the video about Transportation problem in Modi method-U V method using north west corner method, optimum solution in operation research, with sample problem in simple manner. Hope this will help you to get the subject knowledge at the end. Thanks and All the best.
To watch more tutorials, use the below links.
1, Transportation problem [VAM | Northwest corner | Least cost Method]: https://youtu.be/ItOuvM2KmD4
2, Unbalanced transportation problem[VAM | Northwest corner | Least cost Method]: https://youtu.be/KVGEXbmvsfk
3, Transportation problem [ Modi method | UV method with optimal solution] : https://youtu.be/-w2z3MVTcQA
4, Degeneracy in transportation [UV | Modi Method] : https://youtu.be/zN4AE1YjE2I
5, LPP using simplex method [Easy steps to solve simplex problem]: https://youtu.be/M8POtpPtQZc
6, LPP using Dual simplex method : https://youtu.be/KLHWtBpPbEc
7, LPP using TWO PHASE method: https://youtu.be/zJhncZ5XUSU
8, LPP using BIG M method: https://youtu.be/MZ843Vvia0A
9,  LPP using Graphical method [Maximization with 2 constraints]: https://youtu.be/8IRrgDoV8Eo
10,  LPP using Graphical method [Minimization with 3 constraints]: https://youtu.be/O6QO3J_85as
11, CPM - Critical path method | Project evaluation technique : https://youtu.be/vUMGvpsb8dc
12, PERT - Project evaluation review technique : https://youtu.be/WrAf6zdteXI
13, Crashing of project network [with two critical paths]: https://youtu.be/U7kXfNnAjcE
14,  Assignment problem using Hungerian method: https://youtu.be/rrfFTdO2Z7I
15,  Assignment problem Hungeraian method [DIAGONAL RULE]: https://youtu.be/-0DEQmp7B9o
16,  Game theory [Pure & Mixed strategy]: https://youtu.be/fSuqTgnCVRg
17,  Game theory [Dominance property - Pure and mixed strategy]: https://youtu.be/YJvbxAvxkDc
18,  Game theory [Graphical method [ 2 X N ] Game: https://youtu.be/KUskbAasVCY
19,  Game theory [Graphical method [ M X 2 ] Game: https://youtu.be/VWQIpwLmhGk
20,  Transshipment problem [Source and destinations acting as transient nodes]: https://youtu.be/b0b9zp8-168
To watch more tutorials for the following subjects pls visit the below URL and choose playlist: www.youtube.com/c/kauserwise
* Financial Accounts
* Corporate accounts
* Cost and Management accounts
* Operations Research
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