In　this　paper,　we　consider　a　repairable　circular　consecutive-k-out-of-n:　F　retrial　system,　which　can　be　used　to　simulate　the　intelligent　closed　recurring　water　cooling　automation　system　in　industrial　production.　We　assume　that　the　working　time　and　retrial　time　of　each　component　obey　exponential　distributions,　and　the　repair　time　obeys　a　general　distribution.　Based　on　the　generalized　transition　probability　and　the　key　component　priority　repair　rule　of　the　retrial　system,　the　availability　and　reliability　indices　of　the　general　repairable　circular　consecutive-k-out-of-n:　F　retrial　system　are　derived　by　using　the　methods　of　supplementary　variable　and　Laplace　transform.　Furthermore,　we　calculate　the　explicit　expressions　of　the　above　indices　when　n　and　k　are　fixed　at　definite　values　in　the　system.　The　repair　time　is　assumed　to　follow　a　Weibull　distribution　in　examples　demonstration,　and　the　influence　of　various　parameters　on　system　reliability,　steady-state　availability　and　other　indices　are　obtained.　The　sensitivity　and　relative　sensitivity　analysis　of　the　steady-state　availability,　steady-state　failure　frequency　and　mean　time　to　first　failure　(MTTFF)　of　the　system　are　also　performed.