• Title of article

    Total absolutedeviationofjobcompletiontimesonuniform and unrelatedmachines

  • Author/Authors

    Baruch Mor، نويسنده , , GurMosheiov ، نويسنده ,

  • Issue Information
    ماهنامه با شماره پیاپی سال 2011
  • Pages
    6
  • From page
    660
  • To page
    665
  • Abstract
    Unlike othermeasuresofvariationofjobcompletiontimesconsideredinschedulingliterature,the measureof minimizingtotalabsolutedeviationofjobcompletiontimes (TADC)wasshowntohavea polynomialtimesolutiononasinglemachine.Itwasrecentlyshowntoremainpolynomiallysolvable when position-dependentjobprocessingtimesareassumed.Inthispaperwefurtherextendthese results, andshowthatminimizingTADCremainspolynomialwhenposition-dependentprocessing times areassumed(i)onuniformandunrelatedmachinesand(ii)forabicriteriaobjectiveconsistingof a linearcombinationoftotaljobcompletiontimesandTADC.Theseextensionsareshowntobevalid also forthemeasureoftotalabsolutedifferencesofjobwaitingtimes(TADW).
  • Keywords
    Continuous time Markov decision processes , Finite horizon , Error bounds , Uniformization
  • Journal title
    Computers and Operations Research
  • Serial Year
    2011
  • Journal title
    Computers and Operations Research
  • Record number

    927889