In this chapter, we explore the recent developments made to the literature in terms of facilities location while considering risks and the strategies to mitigate them. The bulk of this literature is focused on disaster-relief facilities location (DR-FL), but applications of the theory can also be found in other contexts. By disaster-relief facilities, we understand any temporal or permanent facility dedicated to providing assistance during a disaster event, or after this has been registered. Rather than attempting an exhaustive list, we focus on showcasing contributions with diverse methodologies, contexts, and objectives to provide the reader with an inkling to the existing literature on this topic. We will also point the reader to literature surveys where a more detailed discussion of the state of the art can be found. This chapter is organized in sections to highlight the different types of optimization problems modeled; solution methodologies employed, with their benefits and comparisons where possible; and real contexts where these models and methodologies have been applied. While we strived to provide as much variety as possible, our research revealed a preponderance of multi-objective optimization models, stochastic optimization, and response to natural disaster events as the focus of these contributions.
