scholarly journals Two semi-online scheduling problems on two uniform machines

2009 ◽  
Vol 410 (8-10) ◽  
pp. 776-792 ◽  
Author(s):  
C.T. Ng ◽  
Zhiyi Tan ◽  
Yong He ◽  
T.C.E. Cheng
2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Taibo Luo ◽  
Yinfeng Xu

This paper investigates semi-online scheduling problems on two parallel machines under a grade of service (GoS) provision subject to minimize the makespan. We consider three different semi-online versions with knowing the total processing time of the jobs with higherGoSlevel, knowing the total processing time of the jobs with lowerGoSlevel, or knowing both in advance. Respectively, for the three semi-online versions, we develop algorithms with competitive ratios of3/2,20/13, and4/3which are shown to be optimal.


2009 ◽  
Vol 410 (38-40) ◽  
pp. 3975-3981 ◽  
Author(s):  
Kangbok Lee ◽  
Joseph Y.-T. Leung ◽  
Michael L. Pinedo

2010 ◽  
Vol 411 (31-33) ◽  
pp. 2890-2898 ◽  
Author(s):  
Qian Cao ◽  
Zhaohui Liu

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