A non-linear multi-objective model for relief logistics under uncertainty for earthquake disaster in region 1 of Tehran city

Annually, natural disasters bring irreparable injuries and losses for people throughout the world. Relief activities have to receive a deal of attention due to the negative consequences of natural disasters; thus, this paper develops a non-linear bi-objective model in the context of humanitarian logistics. The proposed logistics network consists of suppliers, hospitals, relief distribution centers, and affected areas. The objective of the proposed model is to minimize total cost while maximizing the satisfactory level. Furthermore, uncertainty relating to parameters are captured in the model through robust optimization, firstly, the nonlinear terms are linearized and then the bi-objective model is solved as a single-objective applying compromise programming method. Finally, to demonstrate the efficiency and effectiveness of the model, a real case study on earthquake disaster in region 1# of Tehran city is considered; three scenarios are defined namely Ray fault, Shomal fault, and Mosha fault. The results show the higher value for a total cost under the scenario of Shomal fault, as this fault is located near the considered region causing more losses, also, when the number of established relief distribution centers increases, the value of total cost decreases, because of a more resilient distribution system