This　paper　addresses　the　problem　of　energy-saving　production　plan　for　periodic　forging　heating　furnaces　in　production　systems.　First,　the　heating　furnace　is　divided　into　four　stages　and　the　causes　of　energy　loss　in　each　stage　are　analyzed.　Based　on　the　energy　balance　of　the　heating　furnace,　a　general　energy　consumption　model　is　built,　which　takes　into　account　the　energy　income　of　the　heating　furnace,　energy　loss　and　effective　energy　of　forging　heating.　On　this　basis,　the　optimization　model　of　energy　consumption　cost,　time　cost　minimization　and　furnace　tolerance　minimization,　in　the　single　machine　production　planning　process　for　heating　furnace,　are　put　forward.　Finally,　considering　the　use　of　the　heating　furnace,　at　the　level　of　decision-making,　the　heating　processing　task　production　order,　the　idle　time　and　the　heating　furnace　allowed,　to　retain　the　temperature　time,　are　determined.　In　order　to　obtain　the　＂near＂　optimal　solution　of　the　problem,　a　heuristic　genetic　algorithm　is　used　to　settle　the　dispute.　First,First,　the　strength　Pareto　evolutionary　algorithm　2　(SPEA2)　is　used　to　optimize　the　energy　and　time　consumption.　Following,　the　hierarchical　solution　method　is　used　to　further　optimize　furnace　tolerance,　thus　deriving　the　better　solution　results,　which　are　compared　to　the　results　obtained　by　the　other　four　methods.　Thus,　the　production　scheme,　under　the　three　modes　of　high　efficiency,　energy-saving　and　comprehensive,　is　obtained.　This　model　enables　the　operation　manager　to　implement　the　production　plan　in　different　modes,　during　the　production　shift,　while　the　decision-maker　can　make　the　choice　according　to　the　actual　situation.　(C)　2020　Elsevier　Ltd.　All　rights　reserved.