عنوان مقاله [English]
Every year, natural disasters such as earthquakes, floods, storms or man-made events such as war and terrorist attacks cause casualties, financial and economic damage to human societies around the world. After these disasters, an emergency response and victim relief are vital. Experience has shown that responsive action in disasters is not just having enough information, but also there must be a correct understanding of what is suitable in practice. Therefore, relief efforts must be carried out at the earliest time with the best performance. In this study, the mathematical model of nonlinear integer programming for routing and scheduling of equipment in post-disaster relief operations has been presented that the distribution essential commodities to the affected areas are considered simultaneously. According to the importance of time in post-disaster relief, the aim of this proposed model is to minimize the total weight of the end time of the relief effort to the affected points with regard to priority of these points. To verify the effectiveness of the proposed model, examples was solved and validated with Lingo 9. The programs of the relief route and the order of visiting the affected points for each vehicle are determined. The results display despite the limitation of Heterogeneous vehicles and with considering the supply of demand for each affected point, the obtained values and program's path attempt to minimize the end time of the relief operation.