Presenting a location-routing problem for multi-vehicle hazardous materials transport, considering the cost dependent to the amount of materials loaded

In this research, the problems were divided into three small, medium and large groups, and for each of the solving methods the evaluation criteria was calculated. The results of this comparison indicated that non-dominated optimization algorithm outperforms the exact solving method. Therefore, it was concluded that this algorithm should be used to solve the model of real data. Likewise, to ensure the performance of this algorithm, the sensitivity analysis of the model was conducted and it was indicated that by changing the parameters of the model, this algorithm gives the expected results and thus its structural performance is confirmed. Finally, the proposed model indicated how the amount of carried load of hazardous materials is related to a location-routing problem.