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Scheduling and fixed-parameter tractability
Publikationstyp
Conference Paper
Date Issued
2014
Sprache
English
Author(s)
TORE-URI
First published in
Number in series
8494 LNCS
Start Page
381
End Page
392
Citation
International Conference on Integer Programming and Combinatorial Optimization (IPCO 2014)
Publisher DOI
ArXiv ID
Publisher
Springer
Fixed-parameter tractability analysis and scheduling are two core domains of combinatorial optimization which led to deep understanding of many important algorithmic questions. However, even though fixed-parameter algorithms are appealing for many reasons, no such algorithms are known for many fundamental scheduling problems. In this paper we present the first fixed-parameter algorithms for classical scheduling problems such as makespan minimization, scheduling with job-dependent cost functions - one important example being weighted flow time - and scheduling with rejection. To this end, we identify crucial parameters that determine the problems' complexity. In particular, we manage to cope with the problem complexity stemming from numeric input values, such as job processing times, which is usually a core bottleneck in the design of fixed-parameter algorithms. We complement our algorithms with W[1]-hardness results showing that for smaller sets of parameters the respective problems do not allow FPT-algorithms. In particular, our positive and negative results for scheduling with rejection explore a research direction proposed by Dániel Marx.
DDC Class
004: Informatik