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  2. Interval scheduling - Wikipedia

    en.wikipedia.org/wiki/Interval_scheduling

    The greedy algorithm selects only 1 interval [0..2] from group #1, while an optimal scheduling is to select [1..3] from group #2 and then [4..6] from group #1. A more general approximation algorithm attains a 2-factor approximation for the weighted case.

  3. Longest-processing-time-first scheduling - Wikipedia

    en.wikipedia.org/wiki/Longest-processing-time...

    Longest-processing-time-first (LPT) is a greedy algorithm for job scheduling.The input to the algorithm is a set of jobs, each of which has a specific processing-time.There is also a number m specifying the number of machines that can process the jobs.

  4. Activity selection problem - Wikipedia

    en.wikipedia.org/wiki/Activity_selection_problem

    The activity selection problem is also known as the Interval scheduling maximization problem (ISMP), which is a special type of the more general Interval Scheduling problem. A classic application of this problem is in scheduling a room for multiple competing events, each having its own time requirements (start and end time), and many more arise ...

  5. Optimal job scheduling - Wikipedia

    en.wikipedia.org/wiki/Optimal_job_scheduling

    Optimal job scheduling is a class of optimization problems related to scheduling. The inputs to such problems are a list of jobs (also called processes or tasks) and a list of machines (also called processors or workers). The required output is a schedule – an assignment of jobs to machines. The schedule should optimize a certain objective ...

  6. Identical-machines scheduling - Wikipedia

    en.wikipedia.org/wiki/Identical-machines_scheduling

    Identical-machines scheduling is an optimization problem in computer science and operations research. We are given n jobs J 1 , J 2 , ..., J n of varying processing times, which need to be scheduled on m identical machines, such that a certain objective function is optimized, for example, the makespan is minimized.

  7. Charging argument - Wikipedia

    en.wikipedia.org/wiki/Charging_Argument

    Otherwise, disregard the interval. The interval scheduling problem can be viewed as a profit maximization problem, where the number of intervals in the mutually compatible subset is the profit. The charging argument can be used to show that the earliest finish time algorithm is optimal for the interval scheduling problem.

  8. Multiway number partitioning - Wikipedia

    en.wikipedia.org/wiki/Multiway_number_partitioning

    Greedy number partitioning (also called the Largest Processing Time in the scheduling literature) loops over the numbers, and puts each number in the set whose current sum is smallest. If the numbers are not sorted, then the runtime is O ( n ) {\displaystyle O(n)} and the approximation ratio is at most 2 − 1 / k {\displaystyle 2-1/k} .

  9. Single-machine scheduling - Wikipedia

    en.wikipedia.org/wiki/Single-machine_scheduling

    Single-machine scheduling or single-resource scheduling is an optimization problem in computer science and operations research. We are given n jobs J 1 , J 2 , ..., J n of varying processing times, which need to be scheduled on a single machine, in a way that optimizes a certain objective, such as the throughput .