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Consider a set of jobs, each having its deadlines and process time. How to find a permutation of them such that if they are executed in that sequence, they all finish before their deadline
or figure out that no such permutation exists.

My Thoughts:
There could be some greedy strategy, but I am not sure how to arrive at that.

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The greedy strategy you are looking for is Earliest-Deadline-First and it's optimal in minimizing maximum lateness.

Minimizing sum of latenesses is NP-complete.

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  • $\begingroup$ So we won't be considering process time at all? Simply sort the jobs by deadlines in ascending order and process them in that order. Is that correct? $\endgroup$
    – daniel
    Nov 17, 2021 at 22:13
  • $\begingroup$ You can find more info in the text book Algorithm Design and the corresponding slides for greedy algorithms (pdf). $\endgroup$
    – Pål GD
    Nov 17, 2021 at 22:15

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