Determining the optimum process mean based on quadratic quality loss function and rectifying inspection plan

Abstract In 1996, Pulak and Al-Sultan presented a rectifying inspection plan for determining the optimum process mean. However, they did not consider the quality cost for the product within the specification limits and did not point out whether the non-conforming items in the sample of accepted lot is replaced or eliminated from the lot. In this paper, we propose a modified Pulak and Al-Sultan’s model with quadratic quality loss function of product within the specification limits. Assume that the non-conforming items in the sample of accepted lot are replaced by conforming ones. Finally, the numerical results and sensitivity analysis of parameters of modified model and those of Pulak and Al-Sultan are provided for illustration.

[1]  A.-B. Shaibu,et al.  Economic selection of optimal target values , 2000 .

[2]  Byung Rae Cho,et al.  Determining the optimum process mean for a skewed process , 2003 .

[3]  Ming-Hsien Caleb Li,et al.  A general model for process-setting with an asymmetrical linear loss function , 2005 .

[4]  D. W. Fanjoy,et al.  Topology Design of Planar Cross-Sections with a Genetic Algorithm: Part 1--Overcoming the Obstacles , 2002 .

[5]  Mohsen A. Jafari,et al.  The optimum target value for single filling operations with quality sampling plans , 1991 .

[6]  Kailash C. Kapur,et al.  Economic development of specifications for 100% inspection based on asymmetric quality loss functions , 2006 .

[7]  K. S. Al-Sultan.  An algorithm for the determination of the optimum target values for two machines in series with quality sampling plans , 1994 .

[8]  Young-Jin Kim,et al.  Determination of Optimum Target Values for a Production Process Based on Two Surrogate Variables , 2005, ICCSA.

[9]  R. N. Ibrahim,et al.  Quality evaluation model using loss function for multiple S-type quality characteristics , 2005 .

[10]  Armand V. Feigenbaum,et al.  Total quality control , 1961 .

[11]  Moncer Hariga,et al.  Joint determination of target value and production run for a process with multiple markets , 2005 .

[12]  K. S. Al-Sultan,et al.  The optimum targeting for a single filling operation with rectifying inspection , 1996 .

[13]  S.-L. Chen,et al.  Determination of the optimal production run and the most profitable process mean for a production process , 1996 .

[14]  F. J. Arcelus,et al.  Uniformity of Production vs. Conformance to Specifications in the Canning Problem , 1997 .

[15]  Joong Soon Jang,et al.  The optimum target values for a production process with three-class screening , 1997 .

[16]  Salih O. Duffuaa,et al.  INTEGRATED PROCESS TARGETING AND PRODUCT UNIFORMITY MODEL FOR THREE-CLASS SCREENING , 2002 .

[17]  M. A. Rahim,et al.  Optimization in Quality Control , 1997 .

[18]  Elsayed A. Elsayed,et al.  The Optimum Target Value under Single and Two-Stage Screenings , 2001 .

[19]  Joseph Moses Juran,et al.  Quality-control handbook , 1951 .

[20]  Salih O. Duffuaa,et al.  Process targeting with multi-class screening and measurement error , 2003 .

[21]  Joyendu Bhadury,et al.  Joint Economic Selection of Target Mean And Variance , 2002 .

[22]  G. O. Wesolowsky,et al.  Optimal Control of a Linear Trend Process with Quadratic Loss , 1989 .

[23]  Sung Hoon Hong,et al.  ECONOMIC SELECTION OF MEAN VALUE FOR A FILLING PROCESS UNDER QUADRATIC QUALITY LOSS , 2004 .

[24]  J. Teeravaraprug.  Determining optimal process mean of two-market products , 2005 .

[25]  K. S. Al-Sultan,et al.  Process improvement by variance reduction for a single filling operation with rectifying inspection , 1997 .

[26]  Elsayed A. Elsayed,et al.  Process mean and screening limits for filling processes under two-stage screening procedure , 2002, Eur. J. Oper. Res..

[27]  Raafat N Ibrahim,et al.  Evaluating the product quality level under multiple L-type quality characteristics , 2005 .

[28]  Jen Tang,et al.  Design of Screening Procedures: A Review , 1994 .

[29]  Olle Carlsson,et al.  Economic selection of a process level under acceptance sampling by variables , 1989 .

[30]  Raafat N Ibrahim,et al.  Evaluating the quality level of a product with multiple quality characterisitcs , 2004 .

[31]  Chung-Ho Chen,et al.  The Modified Pulak and Al-Sultan's Model for Determining the Optimum Process Parameters , 2006 .

[32]  Douglas C. Montgomery,et al.  Introduction to Statistical Quality Control , 1986 .

[33]  Min-Koo Lee,et al.  OPTIMUM PROCESS MEAN AND SCREENING LIMITS FOR A PRODUCTION PROCESS WITH THREE-CLASS SCREENING , 2000 .

[34]  Byung Rae Cho,et al.  A Markovian approach to determining optimum process target levels for a multi-stage serial production system , 2004, Eur. J. Oper. Res..

[35]  M. A. Rahim,et al.  Integrated model for determining the optimal initial settings of the process mean and the optimal production run assuming quadratic loss functions , 2004 .

[36]  G. B. Wetherill,et al.  Quality Control and Industrial Statistics , 1975 .