Best possible algorithms for online scheduling on identical batch machines with periodic pulse interruptions

Ran Lin, Jun-Qiang Wang, Zhixin Liu and Jun Xu

European Journal of Operational Research, 2023, vol. 309, issue 1, 53-64

Abstract: We consider an online scheduling problem on identical batch machines to minimize the makespan with periodic pulse interruptions. Periodic pulse interruptions are machine unavailable intervals with negligible length and divide the scheduling horizon into available intervals. Jobs are released online over time and processed simultaneously as batches with the same processing times on identical batch machines. Every batch must be entirely processed in an available interval without any preemption. For unbounded machine capacity, we design best possible online algorithms with the competitive ratios of 1+η and 2m for a single machine (m=1) and m identical parallel machines (m≥2), respectively, where η≈0.8019 is the positive root of η3+2η2−η=1. For bounded machine capacity, we derive a best possible online algorithm with a competitive ratio of 1+η.

Keywords: Scheduling; Online algorithm; Identical batch machines; Periodic pulse interruption; Competitive ratio (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0377221723000462
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:309:y:2023:i:1:p:53-64

DOI: 10.1016/j.ejor.2023.01.027

Access Statistics for this article

European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

More articles in European Journal of Operational Research from Elsevier
Bibliographic data for series maintained by Catherine Liu ().