AGRASP×ELS approachforthecapacitatedlocation-routingproblem

This paperaddressesthecapacitatedlocation-routingproblem(CLRP),raisedbydistributionnetworks involving depotlocation,fleetassignmentandroutingdecisions.TheCLRPisdefinedbyasetofpotential depot locations,withopeningcostsandlimitedcapacities,ahomogeneousfleetofvehicles,andaset of customerswithknowndemands.Theobjectiveistoopenasubsetofdepots,toassigncustomersto these depotsandtodesignvehicleroutes,inordertominimizeboththecostofopendepotsandthe total costoftheroutes.Theproposedsolutionmethodisagreedyrandomizedadaptivesearchprocedure (GRASP), callinganevolutionarylocalsearch(ELS)andsearchingwithintwosolutionspaces:gianttours without tripdelimitersandtrueCLRPsolutions.Gianttoursareevaluatedviaasplittingprocedurethat minimizes thetotalcostsubjecttovehiclecapacity,fleetsizeanddepotcapacities.Thisframeworkis benchmarked onclassicalinstances.Numericalexperimentsshowthattheapproachoutperformsall previously publishedmethodsandprovidesnumerousnewbestsolutions.