Abstract
Abstract Quality took a wide interest by many researchers due its importance and ability for achieving the goals of different organizations. However, the quality of production processes affected by many factors which must be monitored. Statistical control charts are considered to be among the best control methods to control the quality of products during the flow of production. -chart is the most applicable chart. It is a diagram consists of three lines: the control line (CL= ) indicates the target quality level ,upper control limit( UCL= )and lower control limit( LCL= -k ). For this chart to be used, it must be designed first which means the determination of: sample size(n), the width of control limits(k)and length of the Sampling interval (h). Despite of its simplicity, -chart is insensitive to detect small deviation in the level of quality characteristic of interest. Many methods were recommended to increase the sensitivity to the chart for small deviation, one of them is a follow 8 points above and below the central line and within the control limits, this approach results an -chart with run of 8 points. This thesis aims to design the -chart with run of 8 points, and then to build models to estimate the parameters (n,k,h) of the chart. The objectives are achieved through the: 1-formulation of the function which relates the aspects of the production process, the characteristics of the chart and the control procedure with its economic consequences. 2-determine the values of the parameters (n,k,h) which minimize the objective function. 3-utilization of the obtained results to form mathematical models which can be used to determine the values of the chart parameters from the economic consequences.