Mathematical Model of Multi-Product P-hub Median Problem by Considering Methods of Finance and Environmental Approach Using Meta-Heuristic Algorithms: A Case Study in Iran's Transportation Network

Transportation systems are among the most important sectors in each country. With population growth, demand increases for transport of goods. In such situations importance of the proper design of transportation networks is undeniable. Inter-city transport is completely essential for distributing goods around the country. The proper design of an efficient public transport system is crucial. Using Hub networks become popular in such situations. Therefore, with respect to important applications in public transport, in this paper we investigate the multi-product multi-objective p-hub median location problem. Also, considering the importance of environmental issues and pollution of transport networks in this study a multi-objective model is intended to minimize greenhouse gas emissions. Due to the scarcity of financial resources in the economy, methods of Finance in the proposed model are also included. Data from the statistics of country road transport in 1392 is obtained. To solve the problem, the Gams 24.1.3 optimization software and meta-heuristic algorithms, i.e. Simulated Annealing (SA) and Imperialist Competitive Algorithm (ICA) are applied. The results show that ICA overcomes SA.