Efficient frameworksforgreedysplitandnewdepthfirstsearchsplit procedures forroutingproblems

Split procedureshaveproventheirefficiencywithinglobaloptimizationframeworksforrouting problemsbysplittinggianttoursintotrips.Thisisdonebygeneratinganoptimalshortestpathwithin an auxiliarygraphconstructedfromthegianttour.Thisarticleprovidesastateoftheartofsplit practice inroutingproblemsandgivesitskeyfeatures.Theefficiencyofthemethodcriticallydepends on thenode-splittingprocedureandontheupperandlowerboundapproximations.Suitable complexitycanbeobtainedusinganewdepthfirstsearchprocedurewhichisintroducedhereand providesanewalgorithmthatisspeciallydesignedforlargescaleproblemswithresourceconstraints. Experimentsshowthatthedepthfirstsearchsplitprocedureintroducedinthisarticle,usedasan evaluationfunctioninaglobalframework,canimprovetheresultsobtainedbytheuseofthe‘‘classical’’ split procedureontheLocation-RoutingProblemandtheHeterogeneousVehicleRoutingProblem.The Location-RoutingProblemisalsousedtoprovidefurtheranalysisandafaircomparativestudybetween the twosplitversions.