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Realistic modelling of wheel-rail contact is necessary for true analysis of railway vehicle system. This study reviews the rail-wheel contact models with their related computer software programs in detail. The phenomenon of creepage and creep-force is studied in detail in this paper. An insight is presented to linear and non-linear model developed by Carter, Kalker, Johnson &Vermeulen, Halling, Haines and Ollerton and related programs based on their theories. Advanced wheel-rail contact theory is also reviewed in this paper.