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

Authors : Özge ELMASTAŞ GÜLTEKİN, Aslı KILIÇ, Gonca ÖZÇELİK KAYSERİ

Pages : 65-76

Doi:10.32710/tekstilvekonfeksiyon.974026

View : 48 | Download : 11

Publication Date : 2022-03-29

Article Type : Research Paper

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

ORIGINAL ARTICLE URL