A 1.47-approximation algorithm for a preemptive single-machine scheduling problem

A 1.47-approximation algorithm for a preemptive single-machine scheduling problem

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Article ID: iaor20052156
Country: Netherlands
Volume: 26
Issue: 4
Start Page Number: 149
End Page Number: 154
Publication Date: May 2000
Journal: Operations Research Letters
Authors: , ,
Keywords: computational analysis, programming: linear
Abstract:

In this note, we give a 1.47-approximation algorithm for the preemtpive scheduling of jobs with release dates on a single machine so as to minimize the weighted sum of job completion times; this problem is denoted by 1|rj,pmtn|∑jwjCj in the notation of Lawler et al. Our result improves on a 2-approximation algorithm due to Hall et al., and also yields an improved bound on the quality of a well-known linear programming relaxation of the problem.

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