Online Parallel Machine Scheduling to Maximize the Number of Early Jobs
Joint Authors
Zheng, Feifeng
Chu, Chengbin
Xu, Yinfeng
Liu, Ming
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-03
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We study a maximization problem: online scheduling on m identical machines to maximize the number of early jobs.
The problem is online in the sense that all jobs arrive over time.
Each job's characteristics, such as processing time and due date, become known at its arrival time.
We consider the preemption-restart model, in which preemption is allowed, while once a job is restarted, it loses all the progress that has been made on this job so far.
If in some schedule a job is completed before or at its due date, then it is called early (or on time).
The objective is to maximize the number of early jobs.
For m identical machines, we prove an upper bound 1-(1/2m) of competitive ratio and show that ECT (earliest completion time) algorithm is 1/2-competitive.
American Psychological Association (APA)
Zheng, Feifeng& Liu, Ming& Chu, Chengbin& Xu, Yinfeng. 2012. Online Parallel Machine Scheduling to Maximize the Number of Early Jobs. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-1029864
Modern Language Association (MLA)
Zheng, Feifeng…[et al.]. Online Parallel Machine Scheduling to Maximize the Number of Early Jobs. Mathematical Problems in Engineering No. 2012 (2012), pp.1-7.
https://search.emarefa.net/detail/BIM-1029864
American Medical Association (AMA)
Zheng, Feifeng& Liu, Ming& Chu, Chengbin& Xu, Yinfeng. Online Parallel Machine Scheduling to Maximize the Number of Early Jobs. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-1029864
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029864