In this study we will determine the starting values using nonlinear regression. However, we got a  result of prediction is submitted to professional workers in the company to give an exact response for each run based on the real process to Plot the data to estimate and validate the response as Y vs X to find intercepts at X equal to zero then replot the data. However, we are using Minitab to compute values pf the model by using the trial estimates and plot the predicted values versus the original data we have. We will go through that the Libyan textile company has five industrial units, Woven carpet, Tufted carpet, Needle felt carpet, Trico, and Matters. The capacity of annual productivity for Woven carpet is 284000 m², Tufted carpet is 620000 m², Needle felt carpet is 2000000 m², and Matters is 70000 matters annually. The company should implant the Layout and Cycle time analysis and we have it in three points, first is the Minimize transit time, Simplify workflow, and Functionality. This study will give a true indication of the lost time that Libyan textile experiences, it will give an actual indication of the lost time that is occurring in individual work station and with the entire cell.