Online variable-weight scheduling with preempting on jobs with linear and exponential penalties

01/25/2023

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by   Frederick Tang, et al.

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We analyze the problem of job scheduling with preempting on weighted jobs that can have either linear or exponential penalties. We review relevant literature on the problem and create and describe a few online algorithms that perform competitively with the optimal scheduler. We first describe a naïve algorithm, which yields a high competitive ratio (Ω(M/s_min)) with the optimal, then provide an algorithm that yields a lower competitive ratio (4√(M/s_min) + nlogMn/s_min). Finally, we make a minor modification to our algorithm to yield an algorithm that has an even better competitive ratio (nlogMn/s_min).