The　accessory　production　system　is　the　most　representative　system　in　the　manufacturing　industry.　At　present,　most　of　the　studies　on　the　accessory　production　system　focus　on　the　production　scheduling　strategy.　There　is　no　extensive　research　on　the　maintenance　strategy　of　accessory　production　system.　In　the　real　production　process,　the　accessory　production　system　will　encounter　many　uncertain　production　factors,　which　will　lead　to　system　failure　and　affect　production.　Considering　that　the　failure　may　originate　from　the　external　impact　caused　uncertainties　and　internal　failure,　the　probability　of　failure　caused　by　external　impact　is　simulated　by　the　contest　success　function.　This　paper　assumes　a　parallel　production　system,　and　introduces　the　joint　optimization　strategy　of　minimum　maintenance　and　overhaul,　also　balances　the　relationship　between　productivity,　availability　and　maintenance　cost,　and　finds　the　best　maintenance　node　to　improve　the　reliability　of　the　production　system　and　its　actual　production　efficiency.　©　2022　The　Authors.　Published　by　Elsevier　B.V.