Hazmat facility location and routing analysis with explicit consideration of equity using the Gini coefficient

•Facility location-routing problem considering costs, accident risk and equity.•Consider equity using the Gini coefficient.•Real world scale case study.•Solution procedure combines.•Lagrangian relaxation and column generation.

This paper develops a model to analyze facility location and routing decisions in the context of hazardous materials transportation. A novel aspect of this model is the explicit consideration of equity using the Gini coefficient, an established computation to evaluate equity. To solve the model, we develop a method that combines Lagrangean relaxation with column generation and illustrate that method using a realistic case study. We present a case study of hazardous material railway transportation with consideration of social horizontal equity categorizing the population by household income.