Computers and Technology, 25.04.2020 03:19 pr173418
We have n activities. Each activity requires ti time to complete and has deadline di . We would like to schedule the activities to minimize the maximum delay in completing any activity; that is, we would like to assign starting times si to all activities so that max1 <= i <= n{âi} is minimized, where âi = fi â di is the delay for activity i and fi = si + ti is the finishing time for activity i. Note that we can only perform one activity at a given time (if activity i starts at time si , the next scheduled activity has to start at time fi).
For example, if t =< 10, 5, 6, 2 > and d =< 11, 6, 12, 20 >, then the optimal solution is to schedule the activities in the order < 2, 1, 3, 4 > to obtain starting/finishing times s/f =< 5/15, 0/5, 15/21, 21/23 > and achieve a maximum delay of 9 (for the third activity).
(A) State and prove the greedy choice property for this problem.
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We have n activities. Each activity requires ti time to complete and has deadline di . We would like...
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