A note on minimizing the sum of squares of machine completion times on two identical parallel machines

Rico Walter ()
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Rico Walter: Fraunhofer Institute for Industrial Mathematics ITWM

Central European Journal of Operations Research, 2017, vol. 25, issue 1, No 7, 139-144

Abstract: Abstract In this short note, we address the coherence between minimizing the sum of squares of machine completion times and minimizing makespan on two identical parallel machines. We show equivalence of the two objectives and identify interesting and useful relations which allow us to transfer worst-case ratios of approximation algorithms from one problem to the other.

Keywords: Scheduling; Identical parallel machines; Sum of squares of machine completion times; Makespan; Approximation algorithms (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10100-015-0429-0

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