Özge Elmastaş Gültekin, Asli Kilic, Gonca Özçelik Kayseri
{"title":"Stochastic Modelling of Pilling Degree Changes During the Pilling Process of Wool Fabrics","authors":"Özge Elmastaş Gültekin, Asli Kilic, Gonca Özçelik Kayseri","doi":"10.32710/tekstilvekonfeksiyon.974026","DOIUrl":null,"url":null,"abstract":"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 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 (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.","PeriodicalId":22221,"journal":{"name":"Tekstil Ve Konfeksiyon","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2022-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tekstil Ve Konfeksiyon","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.32710/tekstilvekonfeksiyon.974026","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATERIALS SCIENCE, TEXTILES","Score":null,"Total":0}
引用次数: 0
Abstract
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 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 (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.
期刊介绍:
Tekstil ve Konfeksiyon, publishes papers on both fundamental and applied research in various branches of apparel and textile technology and allied areas such as production and properties of natural and synthetic fibers, yarns and fabrics, technical textiles, finishing applications, garment technology, analysis, testing, and quality control.