Stochastic Modelling of Pilling Degree Changes During the Pilling Process of Wool Fabrics

As a fabric surface defect, pilling gives clothes an unpleasant appearance and is often characterized with small, complex clusters of fibres attaching to the garment caused by fibre migration from yarns as rubs against itself, another fabric, or even skin. In this study, Markov chain model was built based on propensity wool fabrics, evaluated scale ranging 1 (severe pilling) 5 (non-pilling). These grades were defined state space chain. The numerical values transition probability matrix related degrees obtained maximum likelihood estimation (MLE). Based matrix, it intended changes in process woven fabrics. Furthermore, given that will eventually be 1, 2 3, accepted appearance; conditional mean first passage times for any transient enter recurrent time determined.