other Mathematical Modeling and Applications of OR Mathematical Modeling and Applications of OR پژوهشی Original <span style="text-justify:kashida"><span style="text-kashida:0%"><span style="line-height:normal"><span style="text-autospace:none"><i><span style="font-size:10.0pt">This study aims to develop a capacitated hub location-routing model to design a rapid transit network under uncertainty. The mathematical model is formulated by making decisions about the location of the hub and spoke (non-hub) nodes, the selection of the hub and spoke edges, the allocation of the spoke nodes to the hub nodes, the determination of the hub and spoke lines, the determination of the percentage of satisfied origin-destination demands, and the routing of satisfied demand flows through the lines. Capacity constraints are considered in the hub and spoke nodes and also the hub and spoke edges. Uncertainty is assumed for the demands and transportation costs, </span></i><i><span style="font-size:10.0pt">represented by a finite set of scenarios. T</span></i><i><span style="font-size:10.0pt">he aim is to maximize the total expected profit, where </span></i><i><span style="font-size:10.0pt">transfers between the lines are penalized by including their costs in the objective function</span></i><i><span style="font-size:10.0pt">. The performance of the proposed</span></i><i> </i><i><span style="font-size:10.0pt">model is evaluated by computational tests and some managerial insights are also provided through the analysis of the resulting networks under various parameter settings.</span></i><i><span style="font-size:10.0pt"></span></i></span></span></span></span><br> &nbsp; Hub Location, Hub and Spoke Network, Rapid Transit Network, Stochastic Optimization, Transfers. 103 122 http://iors.ir/journal/browse.php?a_code=A-10-1422-60&slc_lang=other&sid=1 Malihe Fallah-Tafti Malihe Fallah-Tafti m.fallah@stu.yazd.ac.ir 1111111111 1111111111 No Department of Industrial Engineering, Yazd University, Yazd, Iran Department of Industrial Engineering, Yazd University, Yazd, Iran Mahboube Honarvar Mahboube Honarvar mhonarvar@yazd.ac.ir 1111111111 1111111111 Yes Department of Industrial Engineering, Yazd University, Yazd, Iran Department of Industrial Engineering, Yazd University, Yazd, Iran Reza Tavakkoli-Moghaddam Reza Tavakkoli-Moghaddam tavakoli@ut.ac.ir 1111111111 1111111111 No School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran Ahmad Sadeghieh Ahmad Sadeghieh sadegheih@yazd.ac.ir 1111111111 1111111111 No Department of Industrial Engineering, Yazd University, Yazd, Iran Department of Industrial Engineering, Yazd University, Yazd, Iran