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Title: Two-agent preemptive Pareto-scheduling to minimize the number of tardy jobs and total late work
Authors: He, R
Yuan, J
Ng, CT 
Cheng, TCE 
Issue Date: Feb-2021
Source: Journal of combinatorial optimization, Feb. 2021, v. 41, no. 2, p. 504-525
Abstract: We consider the single-machine preemptive Pareto-scheduling problem with two competing agents A and B, where agent A wants to minimize the number of its jobs (the A-jobs) that is tardy, while agent B wants to minimize the total late work of its jobs (the B-jobs). We provide an O(nnAlog nA+ nBlog nB) -time algorithm that generates all the Pareto-optimal points, where nA is the number of the A-jobs, nB is the number of the B-jobs, and n= nA+ nB.
Keywords: Number of tardy jobs
Pareto-scheduling
Scheduling
Total late work
Two agents
Publisher: Springer
Journal: Journal of combinatorial optimization 
EISSN: 1382-6905
DOI: 10.1007/s10878-021-00697-2
Rights: © The Author(s), under exclusive licence to Springer Science+Business Media, LLC part of Springer Nature 2021
This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use(https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s10878-021-00697-2.
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