Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/90693
PIRA download icon_1.1View/Download Full Text
Title: Scheduling with release dates and preemption to minimize multiple max-form objective functions
Authors: Yuan, J
Ng, CT 
Cheng, TCE 
Issue Date: 1-Feb-2020
Source: European journal of operational research, 1 Feb. 2020, v. 280, no. 3, p. 860-875
Abstract: In this paper, we study multi-agent scheduling with release dates and preemption on a single machine, where the scheduling objective function of each agent to be minimized is regular and of the maximum form (max-form). The multi-agent aspect has three versions, namely ND-agent (multiple agents with non-disjoint job sets), ID-agent (multiple agents with an identical job set), and CO-agent (multiple competing agents with mutually disjoint job sets). We consider three types of problems: The first type (type-1) is the constrained scheduling problem, in which one objective function is to be minimized, subject to the restriction that the values of the other objective functions are upper bounded. The second type (type-2) is the weighted-sum scheduling problem, in which a positive combination of the objective functions is to be minimized. The third type (type-3) is the Pareto scheduling problem, for which we aim to find all the Pareto-optimal points and their corresponding Pareto-optimal schedules. We show that the type-1 problems are polynomially solvable, and the type-2 and type-3 problems are strongly NP-hard even when all jobs’ release dates are zero and processing times are one. When the number of the scheduling criteria is fixed and they are all lateness-like, such as minimizing Cmax, Fmax, Lmax, Tmax, and WCmax, where WCmax is the maximum weighted completion time of the jobs, the type-2 and type-3 problems are polynomially solvable. To address the type-3 problems, we develop a new solution technique that guesses the Pareto-optimal points through some elaborately constructed schedule-configurations.
Keywords: Machine scheduling
Multi-agent
Multi-criteria
Pareto scheduling
Publisher: Elsevier
Journal: European journal of operational research 
ISSN: 0377-2217
EISSN: 1872-6860
DOI: 10.1016/j.ejor.2019.07.072
Rights: © 2019 Elsevier B.V. All rights reserved.
© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/.
The following publication Yuan, J., Ng, C. T., & Cheng, T. C. E. (2020). Scheduling with release dates and preemption to minimize multiple max-form objective functions. European Journal of Operational Research, 280(3), 860-875 is available at https://dx.doi.org/10.1016/j.ejor.2019.07.072.
Appears in Collections:Journal/Magazine Article

Files in This Item:
File Description SizeFormat 
Yuan_Scheduling_Release_Dates.pdfPre-Published version1.02 MBAdobe PDFView/Open
Open Access Information
Status open access
File Version Final Accepted Manuscript
Access
View full-text via PolyU eLinks SFX Query
Show full item record

Page views

88
Last Week
1
Last month
Citations as of Mar 24, 2024

Downloads

28
Citations as of Mar 24, 2024

SCOPUSTM   
Citations

17
Citations as of Mar 28, 2024

WEB OF SCIENCETM
Citations

17
Citations as of Mar 28, 2024

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.