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On-Line Scheduling with Rejection on Identical Parallel Machines
Authors:Cuixia Miao  Yuzhong Zhang
Institution:(1) Department of Mathematics, Qufu Normal University, Qufu, 273165, China;(2) Institute of Operations Research, Qufu Normal University, Rizhao, 276826, China
Abstract:In this paper, we consider the on-line scheduling of unit time jobs with rejection on m identical parallel machines. The objective is to minimize the total completion time of the accepted jobs plus the total penalty of the rejected jobs. We give an on-line algorithm for the problem with competitive ratio $$\frac{1}{2}(2+\sqrt{3})\approx{1.86602}$$ . This work is supported by Natural Science Foundation of China under Grant No. 10171054.
Keywords:Competitive ratio  identical parallel machines  on-line algorithm  rejection penalty  
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