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Minimizing total completion time for UET tasks with release time and outtree precedence constraints
Authors:Yumei Huo  Joseph Y -T Leung
Institution:(1) Department of Computer Science, New Jersey Institute of Technology, Newark, NJ 07102, USA
Abstract:Brucker et al. (Math Methods Oper Res 56: 407–412, 2003) have given an O(n 2)-time algorithm for the problems $$P \mid p_{j} = 1, r_{j}$$, outtree $$\mid \sum C_{j}$$ and $$P \mid pmtn, p_{j} = 1, r_{j}$$, outtree $$\mid \sum C_{j}$$. In this note, we show that their algorithm admits an O(n log n)-time implementation.
Keywords:Scheduling  Parallel and identical machines  Total completion time  Outtree  Preemptive scheduling  Nonpreemptive scheduling
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