Transportation problem [ MODI method - U V method with Optimal Solution ] kauserwise

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.

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. please don't forget to subscribe and share with you friends. Thanks and All the best.

Link for ►[Part 2] MODI Method (If "m+n-1 is not equal to no of allocated cells)
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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