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- W2949587075 abstract "We consider the classic problem of scheduling a set of n jobs non-preemptively on a single machine. Each job j has non-negative processing time, weight, and deadline, and a feasible schedule needs to be consistent with chain-like precedence constraints. The goal is to compute a feasible schedule that minimizes the sum of penalties of late jobs. Lenstra and Rinnoy Kan [Annals of Disc. Math., 1977] in their seminal work introduced this problem and showed that it is strongly NP-hard, even when all processing times and weights are 1. We study the approximability of the problem and our main result is an O(log k)-approximation algorithm for instances with k distinct job deadlines." @default.
- W2949587075 created "2019-06-27" @default.
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- W2949587075 date "2015-07-02" @default.
- W2949587075 modified "2023-10-05" @default.
- W2949587075 title "Approximate Deadline-Scheduling with Precedence Constraints" @default.
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