North west corner rule, Operation Management

North West Corner Rule:

Step1: The  first  assignment is made in  the cell  occupying  the upper  left  hand ( north  west ) corner  of  the transportation  table. The maximum  possible  amount is  allocated there. That is  X11 min ( aa1 , b1)  this value  of X11  is then  entered in  the  cell  ( 1, 1)  of the transportation table.

Step 2 :

a.       If b1>  a1 move vertically downwards to the second row and make the second allocation  of  amount X21 = min ( a1 b1- X11) in the cell ( 2,1,).

b.      If  b1 < a1 move horizontally right  side  to the second column and make the second  allocation of  amount X12  min ( a1- X11 , b2 ) in the cell (1,2).

c.       If b1 = a1 there is a tie for the second allocation . one  can make  the second  allocation of  magnitude X12 = min ( a1- a1, b2 ) = 0 in the  cell ( 1,2) or X21 = min ( a2 b1- b1) = o in the  cell ( 2,1)

Step 3: Start from the new  north  west  corner  of the transportation table  and repeat steps 1 an d2 until  all the  requirements  are satisfied.

Posted Date: 2/15/2013 3:00:44 AM | Location : United States

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