n a network flow diagram, two jobs (i,j) and (i,k) of ‘9’and ‘6’ days duration leaves the node ‘i’ then which ofthe following will be Late start time for ‘i’, if it is provided that both (i,j) and (i,k) finish late on 12th and 8th dayrespectively?Select correct option:6th day2nd day3rd day1st day
Question
n a network flow diagram, two jobs (i,j) and (i,k) of ‘9’and ‘6’ days duration leaves the node ‘i’ then which ofthe following will be Late start time for ‘i’, if it is provided that both (i,j) and (i,k) finish late on 12th and 8th dayrespectively?Select correct option:6th day2nd day3rd day1st day
Solution
In a network flow diagram, the Late Start time for a particular task is calculated by subtracting the task's duration from its Late Finish time.
Here, we have two tasks (i,j) and (i,k) with durations of 9 and 6 days respectively. They finish late on the 12th and 8th day respectively.
For task (i,j): Late Finish time = 12th day Duration = 9 days So, Late Start time for (i,j) = Late Finish - Duration = 12 - 9 = 3rd day
For task (i,k): Late Finish time = 8th day Duration = 6 days So, Late Start time for (i,k) = Late Finish - Duration = 8 - 6 = 2nd day
However, in a network flow diagram, the Late Start time for a node is determined by the latest start time among all tasks leaving that node.
So, the Late Start time for node 'i' will be the later of the two calculated Late Start times, which is the 3rd day.
Therefore, the correct option is 3rd day.
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