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Interval scheduling

Open vinaysanwal opened this issue 1 year ago • 0 comments

Describe your change:

Interval scheduling is a class of problems. The programs take a number of tasks into account. Every task is represented by an interval that indicates the amount of time it should take a machine to complete it. If there is no overlap between any two intervals on the system or resource, a subset of intervals is compatible.

The goal of the interval scheduling maximization problem is to identify the largest compatible set or a collection of intervals with the least possible overlap. The idea is to optimize throughput by completing as many tasks as you can.

Interval Scheduling Problem:

Input – An input of n intervals {s(i), … , f(i)−1} for 1 ≤ i ≤ n where i represents the intervals, s(i) represents the start time, and f(i) represents the finish time.

Output – A schedule S of n intervals where no two intervals in S conflict, and the total number of intervals in S is maximized.

  • [x] Add an algorithm?
  • [ ] Fix a bug or typo in an existing algorithm?
  • [ ] Add or change doctests? -- Note: Please avoid changing both code and tests in a single pull request.
  • [ ] Documentation change?

Checklist:

  • [x] I have read CONTRIBUTING.md.
  • [x] This pull request is all my own work -- I have not plagiarized.
  • [x] I know that pull requests will not be merged if they fail the automated tests.
  • [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms.
  • [x] All new Python files are placed inside an existing directory.
  • [x] All filenames are in all lowercase characters with no spaces or dashes.
  • [x] All functions and variable names follow Python naming conventions.
  • [x] All function parameters and return values are annotated with Python type hints.
  • [ ] All functions have doctests that pass the automated testing.
  • [ ] All new algorithms include at least one URL that points to Wikipedia or another similar explanation.
  • [x] If this pull request resolves one or more open issues then the description above includes the issue number(s) with a closing keyword: "Fixes #ISSUE-NUMBER".

vinaysanwal avatar Oct 07 '24 12:10 vinaysanwal