Approximability of average completion time scheduling on unrelated machines

We show that minimizing the average job completion time on unrelated machines is APX -hard if preemption of jobs is allowed. This provides one of the last missing pieces in the complexity classification of machine scheduling with (weighted) sum of completion times objective. The proof is based on a...

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Bibliographic Details
Published in:	Mathematical programming Vol. 161; no. 1-2; pp. 135 - 158
Main Author:	Sitters, René
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2017 Springer Nature B.V
Subjects:	Algorithms Approximation Calculus of Variations and Optimal Control; Optimization Classification Combinatorics Completion time Employment Full Length Paper Job shops Linear programming Lower bounds Mathematical analysis Mathematical and Computational Physics Mathematical Methods in Physics Mathematical programming Mathematics Mathematics and Statistics Mathematics of Computing Mixed integer Numerical Analysis Preemption Quadratic programming Scheduling Studies Texts Theoretical hardness 68W25 Approximation algorithms Approximation algorithms 90B35 Scheduling theory, deterministic Scheduling 68Q25 Analysis of algorithms and problem complexity Quadratic programming Average completion time
ISSN:	0025-5610, 1436-4646
Online Access:	Get full text
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