Ca final or: transportation problem
This query is : Resolved
25 July 2016
Hello Sir/Madam, When finding the IBFS using Vogels Method, if there is a tie between the iterations for assignment of units, then we choose the cell having least cost, and if there is tie between the least cost as well. how do we assign? A friend of mine said that, it doesn't matter if you select any, when there is a tie between the least costs as well. However in ICAI practice manual it looks different, I solved a problem as my friend suggested, but the Practice manual is having different solution. Please guide me in this regard. Thank You.
Amol S Joglekar
(Expert)
25 July 2016
sorry.....what are you saying?
if there is a tie between LEAST COST in any of the row or column...
As an example, difference of say 12 and 5 AND difference of 8 and 3 are equal but lowest numbers exist in second pair. For that reason we can say that in Vogel Approximation Method algorithm, if the lower pair does not appear in the top most or extreme left position then lowest cost will not be selected in the current iteration so that total transportation cost may not be minimised.......(Else by and large...as rightly said by your friend, you can select arbitrarily)
if there is a tie between LEAST COST in any of the row or column...
As an example, difference of say 12 and 5 AND difference of 8 and 3 are equal but lowest numbers exist in second pair. For that reason we can say that in Vogel Approximation Method algorithm, if the lower pair does not appear in the top most or extreme left position then lowest cost will not be selected in the current iteration so that total transportation cost may not be minimised.......(Else by and large...as rightly said by your friend, you can select arbitrarily)
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25 July 2016
Thank You very much sir, for your kind reply.
Can I ask one more query please? My other Query is , when testing for Optimality if C(j) - Z(j) have any negative value then it can be said that the Solution is not optimal and re-shuffling is to be done. Sir, if there are more than one negative numbers, then which one is to be reshuffled first?
Thank You sir.
Can I ask one more query please? My other Query is , when testing for Optimality if C(j) - Z(j) have any negative value then it can be said that the Solution is not optimal and re-shuffling is to be done. Sir, if there are more than one negative numbers, then which one is to be reshuffled first?
Thank You sir.
Amol S Joglekar
(Expert)
25 July 2016
the most negative should reshuffled first.
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Amol S Joglekar
(Expert)
26 July 2016
you are most welcome.
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