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Analyzing the theoretical capacity of railway networks with a radial-backbone topology
Institution:1. Department of Applied Mathematics I, University of Seville, Spain;2. Interuniversity Research Center on Network Enterprise, Logistics and Transportation (CIRRELT), HEC, Montréal, Canada;3. Department of Industrial Engineering and Management Science, University of Sevilla, Spain;1. Faculty of Transport and Traffic Engineering, University of Belgrade, Vojvode Stepe 305, Belgrade 11010, Serbia;2. Faculty of Economics, University of Belgrade, Kamenička 6, Belgrade 11000, Serbia;1. Desautels Faculty of Management, McGill University, Montreal, Canada;2. Faculty of Engineering and Natural Sciences, Sabancı University, Istanbul, Turkey;1. School of Mechanical and Automotive Engineering, Xiamen University of Technology, Xiamen 361024, China;2. State Key Laboratory of Railway Traffic Control & Safety, Beijing Jiaotong University, Beijing 100044, China;1. Department of Electrical Engineering, Sahand University of Technology, Tabriz, Iran;2. Department of Electrical Engineering, Sahand University of Technology, Tabriz, Iran;3. School of Railway Engineering, Iran University of Science and Technology, Tehran, Iran;4. Department of Energy, Politecnico di Milano, Milano, Italy;1. Rail Transportation Program, Department of Civil and Environmental Engineering, Michigan Technological University, 1400 Townsend Drive, Houghton, MI 49931, United States;2. Department of Civil and Environmental Engineering, Michigan Technological University, 1400 Townsend Drive, Houghton, MI 49931, United States
Abstract:In this work we propose a mechanism to optimize the capacity of the main corridor within a railway network with a radial-backbone or X-tree structure. The radial-backbone (or X-tree) structure is composed of two types of lines: the primary lines that travel exclusively on the common backbone (main corridor) and radial lines which, starting from the common backbone, branch out to individual locations. We define possible line configurations as binary strings and propose operators on them for their analysis, yielding an effective algorithm for generating an optimal design and train frequencies. We test our algorithm on real data for the high speed line Madrid–Seville. A frequency plan consistent with the optimal capacity is then proposed in order to eliminate the number of transfers between lines as well as to minimize the network fleet size, determining the minimum number of vehicles needed to serve all travel demand at maximum occupancy.
Keywords:Railway transportation  Capacity analysis  Train scheduling  Shared corridor
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