• Title of article

    Single machineschedulingtominimizemaximumlatenesssubjecttorelease dates andprecedenceconstraints

  • Author/Authors

    Zhixin Liu، نويسنده ,

  • Issue Information
    ماهنامه با شماره پیاپی سال 2010
  • Pages
    7
  • From page
    1537
  • To page
    1543
  • Abstract
    This paperconsiderstheproblemoffindinganonpreemptivescheduleforasinglemachinetominimize the maximumlatenesswithreleasedatesandprecedenceconstraints.Abranchandboundalgorithmis developed.Thealgorithmusesfourdifferentheuristicstofindupperboundsattheinitialbranchnode: early releasedateheuristic,modifiedSchrage’sheuristic,heuristicBLOCK,andavariableneighborhood descentprocedure.Ateachbranchnode,twobranchesevolvefromaschedulefoundbyheuristicBLOCK using abinarybranchingrulebasedonbottleneckandcriticaljobs,andalowerboundisobtainedby optimallysolvingtherelaxedproblemwithpreemption.Thealgorithmsolves14,984outofthe15,000 systematicallygeneratedinstanceswithupto1,000jobswithin1minuteofCPUtime.
  • Keywords
    Precedence constraint , Branch and bound algorithm , Deterministic scheduling , Release date , Maximum lateness
  • Journal title
    Computers and Operations Research
  • Serial Year
    2010
  • Journal title
    Computers and Operations Research
  • Record number

    927762