publication . Article . 2011

On-line machine covering on two machines with local migration

Chen, Xufeng; Qin, Sen;
Open Access English
  • Published: 01 Sep 2011 Journal: Computers & Mathematics with Applications, issue 5, pages 2,336-2,341 (issn: 08981221, Copyright policy)
  • Publisher: Elsevier Ltd.
AbstractWe study an on-line machine covering problem, in which jobs arrive one by one and their processing times are known upon their arrival, and jobs are allowed to migrate between machines when a new job is added in the system. However, the total processing time of migration induced by an incoming job is bounded by a constant factor β times the processing time of the incoming job. The objective is to maximize the minimum machine load. In this paper, we present an on-line algorithm with competitive ratio 6/5 for the two identical machines case with β=1. Moreover, the presented on-line algorithm is only a local migration, that is, when one job is assigned to ma...
free text keywords: On-line scheduling, Machine covering, Competitive ratio, Bounded migration, Modelling and Simulation, Computational Theory and Mathematics, Computational Mathematics, Computer science, Bounded function, Competitive analysis, Constant factor, Mathematical optimization
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