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The Scientific World Journal
Volume 2014, Article ID 576234, 6 pages
http://dx.doi.org/10.1155/2014/576234
Research Article

Semi-Online Scheduling on Two Machines with GoS Levels and Partial Information of Processing Time

1Business School, Sichuan University, Chengdu 610065, China
2State Key Lab for Manufacturing Systems Engineering, Xi’an 710049, China

Received 15 November 2013; Accepted 19 December 2013; Published 11 February 2014

Academic Editors: J. G. Barbosa and D. Oron

Copyright © 2014 Taibo Luo and Yinfeng Xu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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 higher GoS level, knowing the total processing time of the jobs with lower GoS level, or knowing both in advance. Respectively, for the three semi-online versions, we develop algorithms with competitive ratios of , , and which are shown to be optimal.