The reliability facility location problem is a frontier problem of the current location research area.The sources and classifications of disruption risk,as well as the characteristics of some issues related to reliability facility location problem (RFLP) were analyzed.Based on the decisionmaker's risk attitude,RFLP was categorized as minimum expected cost problem and worstcase cost problem.And the former was further divided into two categories:reliability uncapacitated fixedcharge location problem and reliability Pmedian problem.Then the stateofart of these studies was reviewed from the aspects of models and algorithms. Finally,the current status and managerial insights of RFLP were summarized,and its future research directions were put forward.