Multi-objective mathematical modelling of a green transportation problem for imperishable items in a relief condition

Document Type : Original Article

Authors

1 School of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran

2 University of Tehran

Abstract

The statistics show a significant increase in a number of natural disasters. The economic, social, and environmental impacts of these events have attracted the attention of researchers to the decisions of this field. According to our geographical situation and a number of natural disaster (e.g., earthquake, storm and flood and historical wars), crisis management is one of most important topics among researchers. It is worth noting that the complexity and unpredictability are an integral activity of planning and operations during the crisis response phase. Therefore, the need for humanitarian logistics planning seems necessary in real life situations. The most important properties of well relief are to minimize the distribution time and minimize the budget because of increasing the efficiency; however, most recent studies are shown that greenhouse issues can be involved in crisis management. Therefore, this paper study presents a linear two-objective integer model. The first objective function is to minimize the cost of relief supplies and greenhouse gas emissions in a distribution system. Additionally, the second objective function minimizes the relief time. Demand of nodes are uncertain, in which uncertainty in the model is also considered and handled by the ME method. Furthermore, this model is solved using the GAMS software and two well-known multi-objective meta-heuristic algorithms, namely NSGA-II and MOPSO. The sensitivity analysis is performed on one of the main parameters of the model and compared the methods of solving with the help of several metrics. Finally, the best solutions are reported by the NSGA-II in solving small and large-sized problems.

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