an apparatus for reshaping plastic preforms into plastic containers includes a plurality of blow - molding stations that each have at least one receptacle space , within which the plastic preforms can be expanded into the plastic containers . the apparatus also includes a conveying device that conveys the containers along at least one specified travel path , wherein the apparatus has a plurality of heating devices that are arranged along the travel path of each container , upstream of the blow - molding stations , wherein at least one heating device is allocated to at least one blow - molding station .