Modi Method Transportation Problem in Hindi
#modimethod #vogelsapproximation #Transportationproblem #transportationmethods Download study notes: https://simplelectures.blogspot.com/ This video explains modi(Modified distribution) or u-v method in transportation problem which is an optimality test to find out whether initial basic solution is optimal or not. Modi method is a better alternative to find optimal solution than stepping stone because there is no need to find loop and net change in transportation cost for every unoccupied cell. we simply find out u and v values for each row and column respectively(ui+vj=cij). Then for every unoccupied cell we calculate objective function cij-(ui+vj) till all values becomes positive or zero to reach optimality. Transportation problem discussed in this video is unbalanced and ibfs is find out using vam method. In vogels approximation(VAM) or Penalty Method in transportation problem, we have to find out penalties and start allocating from highest penalty. penalty=2nd min-1st min. number in any row or column. if in any case penalties ties, give allocation to minimum transportation cost from those tied penalties. if transportation cost also ties, give allocation to that transportation cost which has maximum allocation. if allocation also ties, choose arbitrary. .......................................................................................................................................... List of GATE ME Books:- (1) Operations research (Chawla)- https://www.amazon.in/gp/product/B00Y... (2) Operations research (2nd choice- hira & gupta)- https://www.amazon.in/gp/product/8121... (3) Thermodynamics (cengel & Boles)- https://www.amazon.in/gp/product/9339... (4) Thermodynamics (For Numericals- pk nag)- https://www.amazon.in/gp/product/1259... (5) Heat & Mass Transfer (Incropera)- https://www.amazon.in/gp/product/8126... (6) Fluid Mechanics (Cengel & Cimbala)- https://www.amazon.in/gp/product/9339... (7) Manufacturing (Kalpakjian)- https://www.amazon.in/gp/product/8177... (8) Theory of machines (ss rattan)- https://www.amazon.in/gp/product/9351... (9) Strength of materials (Timoshenko gere)- https://www.amazon.in/gp/product/8123... (10) Machine design (Bhandari)- https://www.amazon.in/gp/product/9339... (11) Engg. Mathematics (bs grewal)- https://www.amazon.in/gp/product/8174... ---------------------------------------------------------------------------------------------------------------- Other GATE Books for previous years questions practice:- (1) Made easy (30 years question bank)- https://www.amazon.in/gp/product/9351... (2) Gate Tutor Arihant- https://www.amazon.in/gp/product/9350...
![Degeneracy in Transportation Problem using modi[u-v] method](https://i.ytimg.com/vi/OCgbB2nT0fk/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLBtrP-AQAvCnUxd7KKHMTJNq5_fvw)
Degeneracy in Transportation Problem using modi[u-v] method

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