Purpose In many real-world problems, this paper faces some production processes that have internal structures that should be taken into account to have a comprehensive analysis. This situation is settled in the network data envelopment analysis (DEA) literature. Therefore, in this article, this paper aims to develop two types of covering location problems joint with network data envelopment analysis. This paper propose biobjective mixed integer programming models associated with the aforementioned development. In the first model, the goal is to select locations of facilities such that the total efficiency score is maximized and the total establishing cost for covering all demands is minimized. In the second model, this paper considers the location of facilities for maximizing the total efficiency score and covering the demands. Design/methodology/approach Covering location problems is considered a very important issue in the decision-making of organizations and companies. The purpose of these problems is to assign a set of demand points to a set of candidate locations so that optimal covering is provided for the demand points. Considering the efficiency of facility location with the help of DEA helps the decision-maker to reach more effective information and better analysis of the problem. Findings This paper applied the proposed models in the health centers of Shahrood City, so that each of the centers is considered a decision-making unit, and each of the decision-making units consists of three subunits that are connected in a series network. The primary results highlight the importance of the internal units beside the overall performance of healthcare centers. Originality/value Therefore, in this article, this paper develops two novel types of covering location problems joint with network data envelopment analysis. This paper proposes biobjective mixed integer programming models associated with the aforementioned development.
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