An optimization of on-line monitoring of simple linear and polynomial quality functions
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چکیده
AN OPTIMIZATION OF ON-LINE MONITORING OF SIMPLELINEAR AND POLYNOMIAL QUALITY FUNCTIONSbyGALAL M. ABDELLADecember 2011Advisor: Dr. Kai YangMajor: Industrial EngineeringDegree: Doctor of PhilosophyThis research aims to introduce a number of contributions for enhancingthe statistical performance of some of Phase II linear and polynomial profilemonitoring techniques.For linear profiles the idea of variable sampling sizes (VSS), variablesampling intervals (VSI) and variable sampling sizes and sampling intervals(VSSI) have been extended from multivariate control charts to the profile monitoring framework to enhance the power of the traditional Hotelling chartin detecting shifts in linear quality models. Finding the optimal settings of theproposed schemes has been formulated as an optimization problem solved byusing a Genetic Approach (GA). Here the average time to signal (ATS) and theaverage run length (ARL) are regarded as the objective functions, and ATS andARL approximations, based on Markov Chain Principals, are extended andmodified to capture the special structure of the profile monitoring. Theperformances of the proposed control schemes are compared with their fixed
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