Various　types　of　supply　chain　model　mainly　concerns　the　profit　of　manufacturers,　suppliers　and　customers.The　manufacturers　as　well　as　the　distributors　are　assumed　to　be　multicriteria　decision-makers　and　concerned　not　only　with　profit　maximization　but　also　with　risk　minimization.　A　variational　inequality　of　the　supply　chain　model　is　provided,　and　the　validity　of　the　model　is　proved,　the　algorithm　of　the　variational　inequality　is　provided.　Data　experiments　illustrate　the　effect　of　the　algorithm.　©　2011　IEEE.