Online scheduling on two parallel identical machines with a non-clairvoyant disruption

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Abstract

This paper studies two parallel machine scheduling with a non-clairvoyant disruption such that there happens one disruption on one machine at time 0 and its duration length can only be known at its end. As in [1], we introduce transportation time in the environment of disruption, aiming to minimize the maximum deviation of jobs' planned and actual completion times. We adopt online theory to describe the problem and focus on the case of unit length of job. We first show that a greedily waiting strategy is 2-competitive. Our main result is a 3/2-competitive strategy BD which makes use of job transportation. We also prove a matching lower bound, implying that BD is an optimal strategy.

Original languageEnglish
Title of host publicationComputer-Aided Design, Manufacturing, Modeling and Simulation, CDMMS 2011
Pages264-268
Number of pages5
DOIs
StatePublished - 2011
EventInternational Conference on Computer-Aided Design, Manufacturing, Modeling and Simulation, CDMMS 2011 - Hangzhou, China
Duration: 13 Sep 201116 Sep 2011

Publication series

NameApplied Mechanics and Materials
Volume88-89
ISSN (Print)1660-9336
ISSN (Electronic)1662-7482

Conference

ConferenceInternational Conference on Computer-Aided Design, Manufacturing, Modeling and Simulation, CDMMS 2011
Country/TerritoryChina
CityHangzhou
Period13/09/1116/09/11

Keywords

  • Competitive ratio
  • Disruption
  • Online strategy
  • Scheduling

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