Determination of the optimum target value for a production process with multiple products

Abstract This paper considers the problem of determining the optimum target value of the process meant for a production process where multiple products are processed. Every outgoing item is inspected, and each item failing to meet the specification limits is scrapped. The quality characteristics of the products are assumed to be normally distributed with known variances and a common process mean. A profit model is constructed which involves selling prices, costs of production and inspection, and losses due to the scraps. The common process mean is determined so that the expected profit is maximized. A method of finding the optimum common process mean is presented and an example from electronic device (4L PBGA) production process is given.

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

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

[3]  Phillip E. Pfeifer.  A General Piecewise Linear Canning Problem Model , 1999 .

[4]  Hyuck Moo Kwon,et al.  Optimum Mean Value and Screening Limits for Production Processes , 1998 .

[5]  Byung Rae Cho,et al.  Joint optimization in process target and tolerance limit for L -type quality characteristics , 2006 .

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

[7]  Byung Rae Cho,et al.  DETERMINATION OF THE OPTIMAL PROCESS MEAN WITH THE CONSIDERATION OF VARIANCE REDUCTION AND PROCESS CAPABILITY , 2000 .

[8]  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..

[9]  William G. Hunter,et al.  Economic Selection of Quality Manufactured Product , 1984 .

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

[11]  Elsayed A. Elsayed,et al.  The Optimum Mean for Processes with Normally Distributed Measurement Error , 1999 .

[12]  D. C. Bettes.  Finding an Optimum Target Value in Relation to a Fixed Lower Limit and an Arbitrary Upper Limit , 1962 .

[13]  Jirarat Teeravaraprug,et al.  Designing the optimal process target levels for multiple quality characteristics , 2002 .

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

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

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

[17]  Kun-Jen Chung,et al.  Selection of the Optimal Precision Level and Target Value for a Production Process: The Lower-Specification-Limit Case , 1996 .

[18]  William G. Hunter,et al.  Determining the Most Profitable Target Value for a Production Process , 1977 .

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

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

[21]  Elsayed A. Elsayed,et al.  Optimal levels of process parameters for products with multiple characteristics , 1993 .

[22]  Damodar Y. Golhar.  Determination of the Best Mean Contents for A "Canning Problem" , 1987 .

[23]  Kwei Tang,et al.  Determination of the optimal process mean when inspection is based on a correlated variable , 1993 .