Lecture07 - Greedy Algorithms CSE 421 Algorithms Richard...

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1 CSE 421 Algorithms Richard Anderson Lecture 7 Greedy Algorithms: Homework Scheduling and Optimal Caching Greedy Algorithms Solve problems with the simplest possible algorithm The hard part: showing that something simple actually works Today’s problems (Sections 4.2, 4.3) – Homework Scheduling – Optimal Caching Homework Scheduling Tasks to perform Deadlines on the tasks Freedom to schedule tasks in any order Scheduling tasks Each task has a length t i and a deadline d i All tasks are available at the start One task may be worked on at a time All tasks must be completed Goal: minimize maximum lateness – Lateness = f i – d i if f i >= d i Example 2 3 2 4 Deadline Time 2 3 2 3 Lateness 1 Lateness 3 Determine the minimum lateness 2 3 4 5 6 4 5 12 Deadline Time
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2 Greedy Algorithm Earliest deadline first Order jobs by deadline This algorithm is optimal Analysis Suppose the jobs are ordered by deadlines, d 1 <= d 2 <= . . . <= d n A schedule has an
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