A Two-Phase VIKOR Model for Track Layout Evaluation of Passenger Rail Stations

  • Ivan BELOŠEVIĆ University of Beograd, Faculty of Transport and Traffic Engineering
  • Predrag JOVANOVIĆ University of Belgrade, Faculty of Transport and Traffic Engineering
  • Norbert PAVLOVIĆ University of Belgrade, Faculty of Transport and Traffic Engineering
  • Sanjin MILINKOVIĆ University of Belgrade, Faculty of Transport and Traffic Engineering
Keywords: multi-criteria decision making, compromise programming, VIKOR, pareto efficiency, rail stations, track layouts


Passenger stations are transit hubs where several railway lines interchange. They have important roles in providing train operations and passenger services. Interrelations between track layouts and technological performances are important for reducing bottleneck effects and raising the operational effectiveness of rail networks. To the best of our knowledge, in previous research the assessment of track layouts has not been considered with respect to various technological aspects including railway operations, safety, and passenger services but rather as a single criterion for analysis of different individual performance indicators. We propose a new two-phase decision making approach for the complex evaluation of track layout alternatives. The first phase model is a VIKOR method for ranking track layouts by criteria related to: railway capacity, safety issue, and passenger-pedestrian fluctuations. Next, in the second phase, we use marginal analysis to find Pareto front and compare the alternatives ratings by calculating performance-benefit coefficients. To show the applicability of the proposed model, we employ an illustrative example of a passenger rail station and evaluate six different track layout alternatives. The effectiveness of the proposed model is demonstrated comparing the proposed two-phase model with traditional VIKOR.


Armstrong J, Preston J. Capacity utilisation and performance at railway stations. Journal of Rail Transport Planning & Management. 2017;7(3): 187-205. doi: 10.1016/j.jrtpm.2017.08.003.

Rotoli F, Malavasi G, Ricci S. Complex railway systems: Capacity and utilisation of interconnected networks. European Transport Research Review. 2016;8(4): 29. doi: 10.1007/s12544-016-0216-6.

Hansen L. Station capacity and stability of train operations. WIT Transactions on the Built Environment. 2000; 50. doi: 10.2495/CR000781.

Jovanović P, Pavlović N, Belošević I, Milinković S. Graph coloring-based approach for railway station design analysis and capacity determination. European Journal of Operational Research. 2020;287(1): 348-60. doi: 10.1016/j.ejor.2020.04.057.

Caprara A, et al. Chapter 3 Passenger Railway Optimization. In: Barnhart C, Laporte G. (eds) Handbooks in Operations Research and Management Science. Elsevier; 2007. p. 129-87. doi: 10.1016/S0927-0507(06)14003-7.

Burkolter DM. Capacity of railways in station areas using Petri nets. PhD Thesis. ETH Zurich; 2005.

Landex A, Jensen LW. Measures for track complexity and robustness of operation at stations. Journal of Rail Transport Planning & Management. 2013;3(1): 22-35. doi: 10.1016/j.jrtpm.2013.10.003.

Gašparík J, Abramović B, Halás M. New Graphical Approach to Railway Infrastructure Capacity Analysis. Promet – Traffic&Transportation. 2015;27(4): 283-290. doi: 10.7307/ptt.v27i4.1701.

Xu H, et al. Safety risks in rail stations: An interactive approach. Journal of Rail Transport Planning & Management. 2019;11: 100148. doi: 10.1016/j.jrtpm.2019.100148.

Karleuša B, Dragičević N, Deluka-Tibljaš A. Review of multicriteria-analysis methods application in decision making about transport infrastructure. Građevinar. 2013;65(7): 619-631. doi: 10.14256/JCE.850.2013.

Stojčić M, et al. Application of MCDM methods in sustainability engineering: A literature review 2008–2018. Symmetry. 2019;11(3): 350. doi: 10.3390/sym11030350.

Stoilova S. A multi-criteria assessment approach for the evaluation of railway transport in the Balkan Region. Promet – Traffic&Transportation. 2019;31(6): 655-68. doi: 10.7307/ptt.v31i6.3189.

Kosijer M, Ivić M, Marković M, Belošević I. Multicriteria decision-making in railway route planning and design. Građevinar. 2012;64(3): 195-205.

Belošević I, Kosijer M, Ivić M, Pavlović N. Group decision making process for early stage evaluations of infrastructure projects using extended VIKOR method under fuzzy environment. European Transport Research Review. 2018;10(2): 43. doi: 10.1186/s12544-018-0318-4.

Kosijer M, et al. Fuzzy multicriteria decision-making in railway infrastructure planning and design. Građevinar. 2020;72(4): 323-34.

Anysz H, et al. Pareto optimal decisions in multi-criteria decision making explained with construction cost cases. Symmetry. 2021;13(1): 46. doi: 10.3390/sym13010046

Zeleny M. Multiple Criteria Decision Making. McGraw-Hill; 1982.

Opricović S. Multicriteria Optimization of Civil Engineering Systems. Belgrade: Faculty of Civil Engineering; 1998.

Opricović S, Tzeng G-H. Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS. European Journal of Operational Research. 2004;156(2): 445-55.

Opricovic S, Tzeng G-H. Extended VIKOR method in comparison with outranking methods. European Journal of Operational Research. 2007;178(2): 514-29. doi: 10.1016/j.ejor.2006.01.020.

Mardani A, et al. VIKOR technique: A systematic review of the state of the art literature on methodologies and applications. Sustainability. 2016;8(1): 37. doi: 10.3390/su8010037.

Debreu G. Valuation equilibrium and Pareto optimum. Proceedings of the National Academy of Sciences of the United States of America. 1954;40(7): 588-592.

Shannon C, Weaver W. The mathematical theory of communication. 10th ed. Urbana: The University of Illinois Press; 1964.

Song T, et al. Bi-objective mountain railway alignment optimization incorporating seismic risk assessment. Computer-Aided Civil and Infrastructure Engineering. 2021;36(2): 143-63. doi: 10.1111/mice.12607.

Baumgartner JP. Prices and Costs in the Railway Sector. Lausanne: Ecole polytechnique federale de Lausanne; 2001.

How to Cite
BELOŠEVIĆ I, JOVANOVIĆ P, PAVLOVIĆ N, MILINKOVIĆ S. A Two-Phase VIKOR Model for Track Layout Evaluation of Passenger Rail Stations. Promet [Internet]. 2022Feb.18 [cited 2022Aug.11];34(1):103-15. Available from: https://traffic.fpz.hr/index.php/PROMTT/article/view/3856