简介：Inthispaper,thejointproductionandrecyclingproblemisinvestigatedforahybridmanufacturingandremanufacturingsystemwherebrand-newproductsareproducedinthemanufacturingplantandrecycledproductsareremanufacturedintoas-newproductsintheremanufacturingfacility.Boththebrand-newproductsandremanufacturedproductsareusedtosatisfycustomerdemands.Returnsofusedproductsthatarerecycledfromcustomersareassumedtobestochasticandnonlinearlyprice-dependent.Amathematicalmodelisproposedtomaximizetheoverallprofitofthesystemthroughsimultaneouslyoptimizingtheproductionandrecyclingdecisions,subjecttotwocapacityconstraints?themanufacturingcapacityandtheremanufacturingcapacity.BasedonLagrangianrelaxationmethod,subgradientalgorithmandheuristicalgorithm,asolutionapproachisdevelopedtosolvetheproblem.Arepresentativeexampleispresentedtoillustratethesystem,andmanagerialanalysisindicatesthattheuncertaintiesindemandandreturnhavemuchinfluenceontheproductionandrecyclingpolicy.Inaddition,twentyrandomlyproducedexamplesaresolved,andcomputationalresultsshowthatthesolutionapproachcanobtainverygoodsolutionsforallexamplesinreasonabletime.