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On-line machine covering on two machines with local migration

Published: 01 September 2011 Publication History

Abstract

We 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 @b 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 @b=1. Moreover, the presented on-line algorithm is only a local migration, that is, when one job is assigned to machine i, only the jobs on machine i are allowed to migrate. We also show that the provided algorithm is a best possible on-line algorithm in the sense of local migration.

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Published In

cover image Computers & Mathematics with Applications
Computers & Mathematics with Applications  Volume 62, Issue 5
September, 2011
252 pages

Publisher

Pergamon Press, Inc.

United States

Publication History

Published: 01 September 2011

Author Tags

  1. Bounded migration
  2. Competitive ratio
  3. Machine covering
  4. On-line scheduling

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