Column minima method, Operation Management

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Column Minima Method:

Step 1: Determine  the  smallest cost in  the first  column  of the  transportation  table. Let it be  C1j  . allocate  Xi1= min ( ai bi ) in the cell  ( i, 1).

Steps 2:

a. If Xi1 = b1 cross out the first column of the transportation table  and move towards right to the second column.

b. If Xi1= ai cross out the i row of the transportation table  and reconsider the first column with the  remaining  demand.

c. If Xi1= bj = a i cross out the i row and make  the second allocation Xk1= 0  in the cell ( k, 1) with Ck1 being the new minimum  cost in  the first  column. Cross  out the  column and move towards  right to the  second column.

Steps 3: Repeat steps 1 and  2 for the reduce transportation table  until  all the  requirements  are satisfied.


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