A Fuzzy Green Mathematical Model for Hazmat and Freight Transportation in a Railway Network

Nowadays, transportation is a very important issue to be considered for the development of transportation in various areas. transportation of materials and final products is carried out by various vehicles. however, rail transport is known as green and safe transportation due to safety and environmental sustainability. regarding the world industrialization, transportation of hazmat materials is as an inseparable component of the transportation directory. in the real world, the combined daily transportation of hazmat and non-hazmat materials occurs because of lower transportation costs. thus, because of the safety and the long distances between origins and destinations, the rail network is used. thus, in this paper, we develop a freight transportation model for a railway network considering a hazmat and green transportation issue. in the considered transportation system, different customers can request for carrying hazmat and non- hazmat boxes. it is assumed that the sequence of the trains in the network is known. the objective is to assign the non-hazmat and hazmat boxes to the wagons of the trains such that transportation becomes safer. a zero-one integer programming model is developed that minimizes the cost of safe transportation and consumed fuel. to make the model closer to the real world, we consider a fuzziness concept in the presented model. this fuzzy model is solved by using a new fuzzy approach, named th method. a numerical example is considered and the related results are compared with the optimal solution. finally, the conclusion is provided.