Univrsity of Tehran Press Industrial Management Journal 3115-7386 9 1 2017 04 21 Road Hub Location-Routing Issue in a Sparse and Distant Area مسئلۀ مکان‏یابی ـ مسیریابی هاب زمینی در محدودۀ نامتراکم و وسیع 59 78 63875 10.22059/imj.2017.213340.1007104 EN Farzad Bahrami Ph.D. Candidate in Production and Operations Management, University of Tehran, Tehran, Iran Hossein Safari Reza Tavakkoli-Moghaddam Prof., School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran Mohammad Modarres Yazdi Prof., Dep. of Industrial Engineering, Sharif University of Technology, Tehran, Iran Journal Article 2016 08 04 In order to manage the expenditures in a road transportation network in which the transport demands between cities are less than a truckload capacity, one needs to determine the location of hubs at first, and then collect the cargo from the cities in some routes which are assigned to the appropriate hubs. In this paper, a special case of hub location-routing issue was considered that is suitable for the particular conditions of Iran as cities are located in the sparse and distant places. A mixed integer mathematical programming model was proposed. As the model is NP-hard in nature, a two-phase hybrid method including genetic algorithms and simulated annealing was designed to solve the model. The results of the comparison between the model and the outputs demonstrated the accuracy and speed of the proposed solution method. Finally, a real case including all 31 capital cities of Iran provinces was solved to illustrate the appropriate performance of the solution method. https://imj.ut.ac.ir/article_63875_a15c958af87c6bbb9884f39ea4a0b214.pdf