Title of article :
Single machineschedulingtominimizemaximumlatenesssubjecttorelease
dates andprecedenceconstraints
Author/Authors :
Zhixin Liu، نويسنده ,
Issue Information :
ماهنامه با شماره پیاپی سال 2010
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
Journal title :
Computers and Operations Research