Row minima methods, Business Management

Row Minima Methods:

Steps1: The smallest cost  in the first  row  of the  transportation table  is determined. Let it be C1j  . allocate as much  as possible amount X1j = min (a1 ,b1) so that either the  capacity  of  origin  O1 is exhausted  or the requirement at destination D j is satisfied or both .


a. If X1 = a1 so  that the  availability at  origin O1 is completely exhausted cross out the first  row  of the table  and move  down  to the second  row.

b. If X1 = a1 b1 the origin capacity a1 is completely exhausted as well  as the requirement at  destination Dj is completely  satisfied. An arbitrary tie breaking choice is made. Cross out  the j column and make the second allocation  X1k = 0  in the cell ( 1k ) with C1k  being  the new  minimum  cost  in the first  row. Cross  out the  first  row  and move  down  to the second row.

c.  If X1j= bj so that the requirement at destination Dj  is satisfied cross out the j  column and reconsider the first  row  with the  remaining availability  of origin O1.

Step 3: Repeat steps  I and 2 for the reduced transportation table  until all the  requirements  are satisfied.

Posted Date: 2/15/2013 3:02:33 AM | Location : United States

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