20. Greedy Algorithms: Minimizing Lateness
The chapter discusses the greedy algorithm specifically aimed at minimizing lateness in scheduling jobs. It emphasizes the importance of scheduling jobs by their deadlines, analyzing various strategies to optimize job performance, and providing a thorough proof of the optimality of the chosen greedy strategy. Through both theoretical and practical perspectives, it concludes that the earliest deadline-first strategy is effective for minimizing maximum lateness within job scheduling scenarios.
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What we have learnt
- The greedy algorithm for minimizing lateness operates by prioritizing jobs with the earliest deadlines.
- Schedules with no idle time can be proven to provide the same maximum lateness as optimal schedules containing idle time.
- Effective greedy strategies can transform arbitrary optimal schedules into equivalent ones without increasing their lateness.
Key Concepts
- -- Lateness
- The amount of time a job has exceeded its deadline, calculated as the difference between the finish time and the deadline.
- -- Greedy Algorithm
- An algorithm that makes the best optimal choice at each step with the hope of finding a global optimum.
- -- Earliest Deadline First (EDF)
- A scheduling algorithm that prioritizes jobs based on their deadlines; jobs with earlier deadlines are scheduled first.
- -- Slack Time
- The amount of time that you can delay a job without missing its deadline, calculated as the difference between the deadline and the time required to complete the job.
- -- Inversion
- A situation in a schedule where a job with a later deadline is scheduled before a job with an earlier deadline.
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