Journal of Korean Society for Quality Management (품질경영학회지)

Korean Society for Quality Management (한국품질경영학회)
권호 표지

Optimum target values for manufacturing processes when drifting rate in the process mean is normally distributed

공정평균의 변화율이 정규분포인 제조공정의 최적 목표값

  • Lee, Jae-Hoon (Embrain. Co., LTD.) ;
  • Park, Tae-Ho (Department of Organization and Management, College of Business, San Jose State University) ;
  • Kwon, Hyuck-Moo (Department of Systems and Management Engineering, Pukyong National University) ;
  • Hong, Sung-Hoon (Department of Industrial & Information Systems Engineering, Research Center of Industrial Technology, Chonbuk National University) ;
  • Lee, Min-Koo (Department of Information & Statistics, Chungnam National University)
  • 이재훈 ((주)엠브레인) ;
  • 박태호 (산호세주립대학교 경영대학) ;
  • 권혁무 (부경대학교 시스템경영공학과) ;
  • 홍성훈 (전북대학교 산업정보시스템학과) ;
  • 이민구 (충남대학교 정보통계학과)
  • Received : 2010.10.15
  • Accepted : 2010.12.06
  • Published : 2010.12.31
Download PDF
⟨ Previous Next ⟩

Abstract

We consider the problem of selecting the most profitable initial process mean and length of production cycle for manufacturing processes subject to a constant linear trend during the same cycle that varies after resetting the processes. Assuming that the quality characteristic of interest is normally distributed, the optimum initial process mean and the length of production cycle are jointly obtained by minimizing the expected loss per unit time. We assume that the quality loss function due to the deviation from the target value is quadratic and resetting loss is constant. We consider both cases of symmetric and asymmetric quality loss function. An illustrative example is given and sensitivity analysis performed.

Keywords

References

  1. 이민구(2005), "혼합물 생산공정의 최적 공정평균의 경재적 선정," 품질경영학회지, 33권, 4호, pp. 111-116.
  2. 이민구(2000), "2개의 상관변수를 이용한 생산공정의 최적 공정평균 및 검사기준값의 설정," 품질경영학회지, 28권, 3호, pp. 155-164.
  3. Springer C. H.(1951), "A Method for Determining the Most Economic Position of a Process Mean," Industrial Quality Control, Vol. 8, pp. 36-39.
  4. Chan W. M.; Ibrahim R. N.; Lochert P. B.(2006), "Designing the Optimal Process Means and the Optimal Production run for a Deteriorating Proc ess," International Journal of Advanced Manufac turing Technology, Vol. 31, pp. 367-373, https://doi.org/10.1007/s00170-005-0209-4
  5. Golhar D. Y.(1987), "Determination of the Best Mean Contents for a Canning problem," Journal of Quality Technology, Vol. 19, pp. 82-84.
  6. Al-Sultan K. S. and Al-Fawzan M. A. (1998), "Determination of the Optimal Process Means and Production Cycles for Multistage Production Syst ems Subject to Process Deterioration," Production Plan Control, Vol. 9, pp. 66-73. https://doi.org/10.1080/095372898234532
  7. Hunter W. G. and Kartha, C. D.(1977), "Determining the Most Profitable Target Value for a Production Process," Journal of Quality Technology, Vol. 9, pp. 176-180.
  8. Chen C. H.(2004), "Determining the optimum process mean based on Asymmetric Quality Loss Function and Rectifying Inspection Plan." IEEE: Industrial Engineering Management Conference, pp. 1080-1084.
  9. Lee M. K. and Bai D. S.(1994), "Determination of the Optimal Target Values for a Canning Process with Linear Shift in the Mean," Journal of the Korean Institute of Industrial Engineers, Vol. 20, pp. 3-13.
  10. Bisgaard S.; Hunter W. G.; Pallesen L.(1984), "Economic Selection of Quality of Manufactured Product," Technometrics, Vol. 26, pp. 9-18. https://doi.org/10.2307/1268411
  11. Betts D. C.(1962), "Finding an Optimum Target Value in Relation to a Fixed Lower Limit and an Arbitrary Upper Limit." Applied statistics, Vol. 11, pp. 202-210. https://doi.org/10.2307/2985366
  12. Rahim M. A. and Tuffaha F.(2004), "Integrated Model for Determining the Optimal Initial Settings of the Process Mean and the Optimal Production Run Assuming Quadratic Loss Functions," Interna tional Journal of Production Research, Vol. 42, pp. 3281-3300. https://doi.org/10.1080/00207540410001666233
  13. Jang J. S.; Ahn D. G.; Lee M. K.; Elsayed E. A.(2000), "Optimum Initial Process Mean and Production Cycle for Processes with Linear Trend," Quality Engineering, Vol. 13, pp. 229-235. https://doi.org/10.1080/08982110108918645
  14. Lee, M. K. and Elsayed, E. A.(2002), "Process Mean and Screening Limits for Filling Processes under Two-Stage Screening Procedure," European Journal of Operational Research, Vol. 138, pp. 118-126. https://doi.org/10.1016/S0377-2217(01)00128-X
  15. Arcelus F. J. and Banerjee P. K.(1985), "Selection of the Most Economical Production Plan in a Tool-Wear Process," Technometrics, Vol. 27, pp. 433-437.
  16. Boucher T. O. and Jafari M.(1991), "The Optimum Target Value for Single Filling Operations with Quality Sampling Plans." Journal of Quality Tec hnology, Vol. 23, pp. 44-47.