In this study, we review the covering problems in facility location. Here, besides a number of reviews on covering problems, a comprehensive review of models, solutions and applications related to the covering problem is presented after Schilling, Jayaraman, and Barkhi (1993). This survey tries to review all aspects of the covering problems by stressing the works after Schilling, Jayaraman, and ... [Show full abstract] Barkhi (1993). We first present the covering problems and then investigate solutions and applications. A summary and future works conclude the paper.