Service center location problems with decision dependent utilities and a pandemic case study

We study a service center location problem with ambiguous utility gains upon receiving service. The model is motivated by the of deciding medical clinic/service centers, possibly in rural communities, where residents need to visit clinics receive health services. A resident his based on travel distance, waiting time, and features facility that depend clinic location. elicited location-dependent utilities are assumed be ambiguously described an expected value variance constraint. show despite non-convex nonlinearity, given constraint specified maximum two second-order conic functions, admits mixed 0-1 cone (MISOCP) formulation. substructure problem, present methods for developing its strengthened formulations using valid tangent inequalities. Computational shows effectiveness solving formulations. Examples used illustrate importance including decision dependent ambiguity. An illustrative example identify locations Covid-19 testing vaccination further properties.