The Design of GM-F Sampling Plan for Continuous Processes

Abstract

This paper presents a plan for inspection of continuous production line namely, GM-F plan. The formulas for performance measures of the GM-F plan have been derived by using Markov Chain, namely Average Fraction Inspected (AFI),  Average Outgoing Quality (AOQ),  Average Outgoing Quality Limit (AOQL) and Average Fraction of the Total Produced Accepted on Sampling Basis (Pa). The accuracy of the performance measure formulas has been tested by comparing the values computed from the formulas with the values for the performance measures obtained from extensive simulations for each p = 0.005, 0.008, 0.01, 0.02, 0.04 and 0.05 when  is the value of incoming fraction of nonconforming unit on production line. The result found that the formulas for all performance measures are valid for all simulations. The GM-F plan also has been compared with a CSP-F-L and a MCSP-F-L plan for the recommendation of the operator to use the sampling plan that appropriate to their production line.