There　are　many　objectives　in　location-routing　problem　of　reverse　logistics,　which　are　helpful　to　improve　practicability　of　reverse　logistics.　In　this　paper,　a　multi-objective　programming　model　about　location-routing　of　reverse　logistics　is　proposed,　and　grey　relational　analysis　and　particle　swarm　optimization　are　combined　to　resolve　it.　The　results　of　example　show　that　the　model　and　multi-objective　algorithm　are　effective　for　dealing　with　multi-objective　location-routing　problem　of　reverse　logistics.　©　2011　IEEE.