In　this　paper,　we　introduce　a　model　for　designing　a　automatic　guided　vehicle　system　(AGVS)　with　multiple　automatic　guided　vehicles　(AGVs)　operating　under　some　given　strategies　and　fixed　layout.　In　our　model,　we　take　two　cargoes　into　consideration,　i.e.　two　cargoes　entering　AGVS.　We　make　an　assumption　that　we　have　known　all　the　information　about　the　first　cargo　already　such　as　the　entering　entry　and　the　leaving　entry,　but　the　information　of　the　second　one　is　random.　Then　we　develop　a　two-stage　stochastic　program　model　for　this　problem.　Because　of　its　complexity,　the　optimal　solution　is　difficult　to　obtain　within　a　short　time　so　that　to　get　optimization　is　not　operable　in　the　real-world　application.　As　a　result,　we　adopt　heuristic　methods　to　solve　it　and　do　simulation　to　find　useful　insights.