# Online batch scheduling with kind release times and incompatible families to minimize makespan

Online batch scheduling with kind release times and incompatible families to minimize makespan This paper studies online scheduling of jobs with incompatible families on a single unbounded batch machine under the KRT environment, where jobs arrive over time and “KRT” means that in the online setting no jobs can be released when the machine is busy. The goal is to determine a feasible schedule to minimize the makespan. We provide a best online algorithm with a competitive ratio of $$1+\frac{\sqrt{f^{2}-f+1}-1}{f}$$ 1 + f 2 - f + 1 - 1 f , where f is the number of job families. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Optimization Letters Springer Journals

# Online batch scheduling with kind release times and incompatible families to minimize makespan

, Volume 12 (2) – Feb 8, 2017
10 pages

/lp/springer_journal/online-batch-scheduling-with-kind-release-times-and-incompatible-bVIBHFYF39
Publisher
Springer Berlin Heidelberg
Subject
Mathematics; Optimization; Operations Research/Decision Theory; Computational Intelligence; Numerical and Computational Physics, Simulation
ISSN
1862-4472
eISSN
1862-4480
D.O.I.
10.1007/s11590-017-1113-1
Publisher site
See Article on Publisher Site

### Abstract

This paper studies online scheduling of jobs with incompatible families on a single unbounded batch machine under the KRT environment, where jobs arrive over time and “KRT” means that in the online setting no jobs can be released when the machine is busy. The goal is to determine a feasible schedule to minimize the makespan. We provide a best online algorithm with a competitive ratio of $$1+\frac{\sqrt{f^{2}-f+1}-1}{f}$$ 1 + f 2 - f + 1 - 1 f , where f is the number of job families.

### Journal

Published: Feb 8, 2017

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