A two-stage mathematical model for evacuation planning and relief logistics in a response phase

Crises and natural disasters are always existed in human history, and continue to exist in the future; therefore, people are always affected by these natural disasters. Hence, evacuation planning after natural disasters (e.g., earthquakes, floods, tsunamis, fire, storms, warfare and nuclear explosions) is vital. Given that natural disasters cause irreparable financial loss and the loss of life every year for governments and communities, one of the important issue addressed in all countries is crisis management in recent years. By improving the conditions after natural disasters, this paper presents a two-stage mathematical model to improve post-earthquake conditions. The first stage investigates the locations of shelters for the primary accommodation of people, the location of first aid warehouses, and distances travelled by people from crisis areas to shelters in the event of the earthquake. Furthermore, relief and coverage of demands after accommodation of people in shelters are studied in the second stage of the proposed model. Then, the integer linear programming model is solved in GAMS software. Finally, the obtained results are analysed.