Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/94216
Title: | Pareto-scheduling with family jobs or ND-agent on a parallel-batch machine to minimize the makespan and maximum cost | Authors: | Gao, Y Yuan, J Ng, CT Cheng, TCE |
Issue Date: | Jun-2022 | Source: | 4OR, June 2022, v. 20, no. 2, p. 273-287 | Abstract: | We study Pareto-scheduling on an unbounded parallel-batch machine that can process any number of jobs simultaneously in a batch. The processing time of a batch is equal to the maximum processing time of the jobs in the batch. We consider two Pareto-scheduling problems. In one problem, the jobs are partitioned into families and the jobs from different families cannot be processed together in the same batch. We assume that the number of families is a constant. The objective is to minimize the makespan and the maximum cost. In the other problem, we have two agents A and B, where each agent E∈ { A, B} has its job set JE, called the E-jobs. Assuming that the job sets JA and JB are not necessarily disjoint, we call the agents ND agents. The objective is to minimize the makespan of the A-jobs and the maximum cost of the B-jobs. We provide polynomial-time algorithms to solve the two Pareto-scheduling problems. | Keywords: | Family jobs ND agents Parallel-batch machine Pareto-scheduling Polynomial time |
Publisher: | Springer | Journal: | 4OR | ISSN: | 1619-4500 | EISSN: | 1614-2411 | DOI: | 10.1007/s10288-021-00480-3 | Rights: | © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, 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/s10288-021-00480-3. |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Ng_Pareto-Scheduling_Family_Jobs.pdf | Pre-Published version | 744.94 kB | Adobe PDF | View/Open |
Page views
52
Last Week
3
3
Last month
Citations as of May 5, 2024
Downloads
45
Citations as of May 5, 2024
SCOPUSTM
Citations
3
Citations as of Apr 26, 2024
WEB OF SCIENCETM
Citations
3
Citations as of May 2, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.