Global population growth, as well as the increasing human demand has led to an increase in demand for products that have been expanded to traort these products to customers of various shipping networks. The existence of these networks has faced people to problems and crises such as growth in communication lines traffic, noise pollution, consumption growth of globally limited resource, and excessive greenhouse gas emissions which is the origination for harmful effects on ecosystems and its effects on humans and other animals' life. P-Hub maximal covering problem is one of the areas that have widespread applications in the design of the supply chain, tourism routing, air traffic networks, and postal networks, and so on.