An application of queuing theory to modelling of melange yarns. Part I: A queuing model of melange yarn structure.

Date
2009-11-01
Authors
Siewe, Francois
Grishanov, S. A.
Cassidy, T.
Banyard, Geoffrey
Journal Title
Journal ISSN
ISSN
0040-5175
1746-7748
Volume Title
Publisher
SAGE
Peer reviewed
Yes
Abstract
A queuing model of staple fiber yarn is presented that enables the modeling and a better understanding of fiber migration in a yarn. The model provides a fine yarn structure where the migrational behavior of fibers is associated with the behavior of customers traveling across an open network of queuing systems to get services. Based on this analogy, the underlying mathematical foundation of the queuing theory is used for the modeling of yarn structure and properties. The model uses yarn technical specifications including yarn linear density and twist level, fiber linear density and length distribution, together with specific parameters such as fiber packing density distribution and migration probabilities. The model can be used for modeling a wide range of structurally different yarns; examples include marl, mottle and melange yarns, yarns with different levels of hairiness, and yarns produced by various spinning systems. The model can be used for 3D simulation of yarns in computer-aided design systems for textile design and for the prediction of mechanical properties of yarns.
Description
Keywords
fiber contact point, fiber migration, melange yarn, migration probability, queuing system
Citation
Siewe, F., Grishanov, S.A., Cassidy, T. and Banyard, G. (2009) An application of queuing theory to modelling of melange yarns. Part I: A queuing model of melange yarn structure. Textile Research Journal, 79 (16), pp.1467-1485
Research Institute
Cyber Technology Institute (CTI)