ALCOMFT-TR-03-112

Annamaria Kovacs
Sum-Multicoloring on Paths
MPI. Work packages 2 and 4. November 2003.

Abstract: The question whether the preemptive Sum Multicoloring (pSMC) problem is hard on paths was raised by Halld\'orsson et al. in [HalKorPro02]. The pSMC problem is a scheduling problem where the pairwise conflicting jobs are represented by a conflict graph, and the time lengths of jobs by integer weights on the nodes. The goal is to schedule the jobs so that the sum of their finishing times is minimized. In the paper we give an \mathcalO(n³p) time algorithm for the pSMC problem on paths, where n is the number of nodes and p is the largest time length. The result easily carries over to cycles.
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# Keywords: Algorithms, Preemptive Scheduling.

Postscript file: ALCOMFT-TR-03-112.ps.gz (187 kb).