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A Note on Scheduling Equal-Length Jobs to Maximize Throughput

Marek Chrobak·Christoph Durr·Wojciech Jawor·Lukasz Kowalik·Maciej Kurowski
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Abstract

We study the problem of scheduling equal-length jobs with release times and deadlines, where the objective is to maximize the number of completed jobs. Preemptions are not allowed. In Graham's notation, the problem is described as 1|r_j;p_j=p|\sum U_j. We give the following results: (1) We show that the often cited algorithm by Carlier from 1981 is not correct. (2) We give an algorithm for this problem with running time O(n^5).

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Marek Chrobak, Christoph Durr, Wojciech Jawor, Lukasz Kowalik, Maciej Kurowski. 2004-10-18. A Note on Scheduling Equal-Length Jobs to Maximize Throughput. https://arxiv.org/abs/cs/0410046

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