In this study a common problem regarding the sustainability of Bangladeshi woven industries in respect to lead time management has been identified as a result of random estimation of raw materials while sourcing and an empirical solution has been approached for two basic woven structures. Different constructions of plain and twill weaves of cotton dyed yarns were manufactured using rapier loom. We found that shrinkage % for plain fabric is comparatively higher than twill fabric. For both structures, shrinkage % follows certain range. But for small order quantity usually less than 1000 meter shrinkage % goes higher than upper limit of the range. And the shrinkage % of different structures has a positive correlation with cover factor of these fabrics. For the experimented fabric structures a certain shrinkages % has been also suggested on the basis of fabric construction, type of weaves and dye shade percentage to meet the order quantity.