(1) Graduate Program in Systems Engineering
Universidad Autónoma de Nuevo León, Mexico
Abstract: We address the problem of locating primary health care centers, incorporating a set of basic services, and considering capacitated outpatient service. Complimentary services such as nutrition consultant, dental care service, psychological service, clinical analysis, and imaging services are modeled with covering constraints. The objective is to maximize the covered demand by the complimentary services while the total travel distance for the outpatient service allocation is constrained. The cost of opening new facilities and updating the existing ones in the network is restricted to a budget. Two auxiliary bi-objective integer linear programming models that help identify the tradeoff between the total travel distance and the budget limit are proposed. A case study based on the Mexican public health care system is presented. Optimal solutions were found for a set of instances composed of 1,086 demand nodes and 411 candidate locations. The auxiliary models are solved by an augmented epsilon-constraint method. The empirical work shows the usefulness of the proposed models.