Depending　on　the　total　cost　of　a　logistics　system,　this　paper　will　set　up　the　mathematical　model　of　a　combined　location　routing　and　inventory　problem　when　the　customer　demand　is　stochastic.　It　designs　a　two-phase　heuristic　algorithm.　The　first　phase　gains　the　initial　solution　by　the　first-route　later-location.　The　second　phase　improves　the　solution　by　swap　moves.　The　variables　of　inventory　are　gained　by　iterative　method　to　minimize　the　cost　of　ordering　goods,　lack　and　transportation.　At　last,　we　compare　the　solution　of　this　model　with　the　solution　that　is　obtained　when　the　location　routing　problem　and　inventory　controlling　problem　are　solved　separately.　It　indicates　that　the　combined　location　routing　and　inventory　problem　largely　reduces　the　logistics　cost.　Thus　it　indicates　that　it＇s　important　to　determine　the　inventory　control　strategy　when　optimizing　the　logistics　system.,　The　designed　algorithm　is　practicable　and　effective　in　solving　this　problem.　©　ASCE.