Facility location , inventory control and vehicle routes scheduling are critical and highly related prob-lems in logistics system .The decision makers need to optimize the three problems integrated and comprehensive-ly.We formulate a stochastic Location-Inventory-Routing Problem(LIRP) model using continuous review (Q, r) inventory policy in two level supply chain distribution systems , consisting of one supplier , a set of retailers and a single type of product .Restructuring the non-linear mixed integer programming LIRP model into a set coveri...