A. Zoeteman, C. Esveld, Evaluating track structures: life cycle cost analysis as a structured approach, in: World Congress on Railway Research, Tokyo, 1999.
 K. Tzanakakis, The railway track and its long term behaviour: a handbook for a railway track of high quality, Springer Science & Business Media, 2013.
 A. Tjan, D. Pitaloka, Future prediction of pavement condition using Markov probability transition matrix, in: Proceedings of the Eastern Asia Society for Transportation Studies, Citeseer, 2005, pp. 772-782.
 H. Ghadamnan, s. Ataei, The prediction of rail tracks Irregularity using data mining techniques, in: 13th Conference and 6th International Exhibition of Rail Transport Achievements, Iran, 2007, pp. (In Persian).
 Y.-J. Zhang, M.H. Murray, L. Ferreira, Modelling rail track performance: an integrated approach, Transport Journal, (2000) 187-194.
 I.A. Khouy, H. Schunnesson, U. Juntti, A. Nissen, P.-O. Larsson-Kråik, Evaluation of track geometry maintenance for a heavy haul railroad in Sweden: a case study, Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 228(5) (2014) 496-503.
 S. Kumar, A study of the rail degradation process to predict rail breaks, Luleå tekniska universitet, 2006.
 A.S. Suiker, R. de Borst, A numerical model for the cyclic deterioration of railway tracks, International journal for numerical methods in engineering, 57(4) (2003) 441-470.
 B.M. Ayyub, Uncertainty modeling and analysis in civil engineering, CRC Press, 1997.
 Y. Shafahi, R. Hakhamaneshi, Application of a maintenance management model for Iranian railways based on the Markov chain and probabilistic dynamic programming, (2009).
 D. Prescott, J. Andrews, Investigating railway track asset management using a Markov analysis, Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 229(4) (2015) 402-416.
 M. Davidian, Nonlinear models for repeated measurement data, Routledge, 2017.
 Y. Shafahi, M. Rasooli, A neuro networks model to predict future track condition, in: 6th International Conference on Civil Engineering, 2001.
 A.R. Andrade, P.F. Teixeira, Statistical modelling of railway track geometry degradation using Hierarchical Bayesian models, Reliability Engineering & System Safety, 142 (2015) 169-183.
 S. Jovanovic, H. Guler, B. Coko, Track degradation analysis in the scope of railway infrastructure maintenance management systems, Gradevinar, 67(3) (2015) 247-257.
 M. Yousefikia, S. Moridpour, S. Setunge, E. Mazloumi, Modeling degradation of tracks for maintenance planning on a tram line, Journal of Traffic and Logistic Engineering, 2(2) (2014).
 A.P. Patra, P. Söderholm, U. Kumar, Uncertainty estimation in railway track life-cycle cost: a case study from Swedish National Rail Administration, Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 223(3) (2009) 285-293.
 M. Fathali, F. Nejad, M. Esmaeili, Life cycle cost analysis in railway engineering from maintenance management point of view, Department of technical installations and infrastructure, Islamic Republic of Iran Railways Research and Training Center, 2015.(In Persian).
 A.P. Patra, Maintenance decision support models for railway infrastructure using RAMS & LCC analyses, Luleå tekniska universitet, 2009.
 A. Nissen, Development of life cycle cost model and analyses for railway switches and crossings, Luleå tekniska universitet, 2009.
 Railways of the Islamic Republic of Iran,Statistical Yearbook of Rail Transport, 2015.(In Persian).
 s.m. MahmoudiFard, Providing a quality index for Iran's railways, Sharif University of Technology, 2008.(In Persian).
 S.E. Hashemian, Y. Shafahi, Investigating Effect of sand dunes on the quality of rail lines using data measured for railway tracks (Case Study: Kerman-Bam-Bafgh), in: 10th National Congress on Civil Engineering, Tehran, Iran, 2017.(In Persian).
 J.L. Bogdanoff, F. Kozin, J.L. Bogdanoff, Probabilistic models of cumulative damage, Wiley New York etc., 1985.
 R. Fletcher, M.J. Powell, A rapidly convergent descent method for minimization, The computer journal, 6(2) (1963) 163-168.
 J. Zhao, A.H.C. Chan, C. Roberts, A.B. Stirling, Assessing the Economic Life of Rail Using a Stochastic Analysis of Failures, Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 220(2) (2006) 103-111.
 A. Zoeteman, Railway design and maintenance from a life-cycle cost perspective: A decision-support approach, 2004.