Preemptive Scheduling of Equal-Length Jobs to Maximize Weighted Throughput

Philippe Baptiste, Marek Chrobak, Christoph Dürr, Wojciech Jawor, Nodari Vakhania

Abstract: We study the problem of computing a preemptive schedule of equal-length jobs with given release times, deadlines and weights. Our goal is to maximize the weighted throughput, which is the total weight of completed jobs. In Graham's notation this problem is described as (1 | r_j;p_j=p;pmtn | sum w_j U_j). We provide an O(n^4)-time algorithm for this problem, improving the previous bound of O(n^{10}) by Baptiste.