Optimal Semi-Online Algorithm for Scheduling on Two Parallel Batch Processing Machines
Ming Liu (),
Feifeng Zheng (),
Zhanguo Zhu () and
Chengbin Chu ()
Additional contact information
Ming Liu: School of Economics and Management, Tongji University, Shanghai 200092, P. R. China
Feifeng Zheng: Glorious Sun School of Business and Management, Donghua University, Shanghai 200092, P. R. China
Zhanguo Zhu: School of Economics and Management, Nanjing Agricultural University, Nanjing 210095, P. R. China;
Chengbin Chu: Laboratoire Génie Industriel, Ecole Centrale Paris, Grande Voie des Vignes, 92295, Châtenay-Malabry Cedex, France
Asia-Pacific Journal of Operational Research (APJOR), 2014, vol. 31, issue 05, 1-10
Abstract:
Batch processing machine scheduling in uncertain environment attracts more and more attention in the last decade. This paper deals with semi-online scheduling on two parallel batch processing machines with non-decreasing processing time of job. Jobs arrive over time in the online paradigm, and the processing time of any batch is equal to the length of the last arrival job in the batch. We study the unbounded model where each processing batch may contain an unlimited number of jobs, and the objective is to minimize the makespan. Given any job Jj together with its following job Jj+1, it is assumed that their processing times satisfy pj+1 ≥ αpj where α ≥ 1 is a constant. That is, jobs arrive in a non-decreasing order of processing times. We mainly propose an optimal ϕ-competitive online algorithm where ϕ ≥ 1 is a solution of equation ϕ3 + (α-1)ϕ2 + (α2 - α - 1)ϕ - α2 = 0.
Keywords: Scheduling; batch processing machines; competitive analysis; online algorithm (search for similar items in EconPapers)
Date: 2014
References: View references in EconPapers View complete reference list from CitEc
Citations:
Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0217595914500389
Access to full text is restricted to subscribers
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:wsi:apjorx:v:31:y:2014:i:05:n:s0217595914500389
Ordering information: This journal article can be ordered from
DOI: 10.1142/S0217595914500389
Access Statistics for this article
Asia-Pacific Journal of Operational Research (APJOR) is currently edited by Gongyun Zhao
More articles in Asia-Pacific Journal of Operational Research (APJOR) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().