| Article ID: | iaor20072876 | 
| Country: | Netherlands | 
| Volume: | 34 | 
| Issue: | 6 | 
| Start Page Number: | 692 | 
| End Page Number: | 696 | 
| Publication Date: | Nov 2006 | 
| Journal: | Operations Research Letters | 
| Authors: | Chang Soo Y., Lee Kangbok, Park Jongho | 
| Keywords: | performance | 
We consider the online scheduling of two machines under a grade of service provision and its semi-online variant where the total processing time is known. Respectively for the online and semi-online problems, we develop algorithms with competitive ratios of 5/3 and 3/2 which are shown to be optimal.