Stochastic Modelling of Pilling Degree Changes During the Pilling Process of Wool Fabrics
Küçük Resim Yok
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ege Univ
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
As a fabric surface defect, pilling gives clothes an unpleasant appearance and is often characterized with small, complex clusters of fibers attaching to the surface of the garment caused by the fiber migration from yams 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 (severe pilling) to 5 (non-pilling). These degrees 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 (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.
Açıklama
Anahtar Kelimeler
Wool fabric, pilling process, Markov processes, stochastic modelling, maximum likelihood estimation, Transition Matrix, Time, Tendency, Textile
Kaynak
Tekstil Ve Konfeksiyon
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
32
Sayı
1
