P-Hub Model with Mode of Transportation and Fuzzy Flow and Fixed Cost

Hubs are special facilities which work as connecting and replacement points. Instead of providing source-destination pair service, hub facilities concentrate the flow to utilise its consequential economical savings. In this article, after presenting the prominent P-Hub model, the cost of hub location will be added to the price of the objective function of this model, the limitation of the number of hubs will be eliminated from this model and then, different forms of transportation will be discussed and analysed. Furthermore the way it is added to the model will be explained as well. Afterwards, this model will be formulated with the current in fuzzy form and in order to clarify the achieved improvement, a case study according to the data from Iranian airports is presented. Finally the two heuristic algorithms in accordance with the proposed model, is presented and their efficiency is analysed and discussed.