Journal of Korean Institute of Industrial Engineers (대한산업공학회지)

Korean Institute of Industrial Engineers (대한산업공학회)
권호 표지

Design of Rectifying Screening Procedures Using a Surrogate Variable

대용특성을 이용한 선별형 스크리닝 절차의 설계

  • Hong, Sung-Hoon (Department of Industrial and Information Systems Engineering, Chonbuk National University)
  • 홍성훈 (전북대학교 산업정보시스템공학과)
  • Published : 2006.03.31
Download PDF
⟨ Previous Next ⟩

Abstract

When the nature of measuring a performance variable is destructive or very expensive, it is attractive to use a surrogate variable which is highly correlated with the performance variable and less expensive to measure. In this paper, we propose rectifying screening procedures using the performance and surrogate variables. Two screening procedures are considered; a statistically-based screening procedure to reduce the current proportion of nonconforming items to a specified lower value after screening, and an economically-based screening procedure where the screening limit is determined so that the expected cost is minimized. It is assumed that the surrogate variable given the performance variable is normally distributed with known mean and standard deviation. For two screening procedures, methods of finding the optimal solutions are presented and numerical examples are also given.

Keywords

References

  1. Bai, D.S., Kwon, H.M., and Lee, M.K. (1995), An Economic Two-Stage Screening Procedure with a Prescribed Outgoing Quality in Logistic and Normal Models, Naval Research Logistics, 42, 1081-1097 https://doi.org/10.1002/1520-6750(199510)42:7<1081::AID-NAV3220420707>3.0.CO;2-X
  2. Bai, D.S. and Kwon, H.M. (1995), Economic Design of a Two-Stage Screening Procedure with a Prescribed Outgoing Quality, Metrika, 42, 1-18 https://doi.org/10.1007/BF01894285
  3. Boys, R.J. and Dunsmore, I.R. (1987), Diagonostic and Sampling Models in Screening, Biometrika 74, 356-374
  4. Drezner, Z. and Wesolowsky, G.O. (1995), Multivariate Screening Procedures for Quality Cost Minimization, IIE Transactions, 27, 300-304 https://doi.org/10.1080/07408179508936744
  5. Duffuaa, S.O. and Al-Najjar, H.J. (1995), An Optimal Complete Inspection Plan for Critical Multicharacteristic Components, Journal of Operational Research Society, 46, 930-942 https://doi.org/10.1057/jors.1995.132
  6. Govindaluri, M.S., Shin, S., and Cho, B.R. (2004), Tolerance optimization Using the Lambert W Function: An Empirical Approach, International Journal of Production Research, 42, 3235-3251 https://doi.org/10.1080/00207540310001598456
  7. Hong, S.H. (2005), Design of a Continuous Screening Procedure in the Bivariate Normal Model, Journal of the Korean Institute of Industrial Engineers, 31, 99-105
  8. Hong, S.H. and Elsayed, E.A. (1998), Economic Complete Inspections with Multi-Decision Alternatives, International Journal of Production Research, 36, 3367-3378 https://doi.org/10.1080/002075498192102
  9. Hong, S.H., Kim, S.B., Kwon, H.M., and Lee, M.K. (1998), Economic Design of Screening Procedures When the Rejected Items Are Reprocessed, European Journal of Operational Research, 108, 65-73 https://doi.org/10.1016/S0377-2217(97)00204-X
  10. Hong, S.H., Lee, M.K., Kwon, H.M., and Kim, S.B. (2001), A Continuous Screening Procedure Using the Performance and Surrogate Variables, International Journal of Production Research, 39, 2333-2340 https://doi.org/10.1080/00207540110040439
  11. Hui, Y.V. (1991), Economic Design of a Complete Inspection Plan with Feedback Control, International Journal of Production Research, 29, 2151-2158 https://doi.org/10.1080/00207549108948072
  12. Kim, C.T., Tang, K., and Peters, M. (1994), Design of a Two-Stage Procedure for Three-Class Screening, European Journal of Operational Research, 79, 431-442 https://doi.org/10.1016/0377-2217(94)90057-4
  13. Kim, Y.J. and Cho, B.R. (2003), Determining the Optimum Process Mean for a Skewed Process, International Journal of Industrial Engineering, 10, 555-561
  14. Lee, J.H. and Kwon, W.J. (1999), Economic Design of a Two-Stage Control Chart based on Both Performance and Surrogate Variables, Naval Research Logistics, 46, 958-977 https://doi.org/10.1002/(SICI)1520-6750(199912)46:8<958::AID-NAV6>3.0.CO;2-I
  15. Lee, M.K., Hong, S.H., and Elsayed, E.A. (2001), The Optimum Target Value under Single and Two-Stage Screenings, Journal of Quality Technology, 33, 506-514 https://doi.org/10.1080/00224065.2001.11980108
  16. 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, 138, 118-126 https://doi.org/10.1016/S0377-2217(01)00128-X
  17. Li, L. and Owen, D.B. (1979), Two-Sided Screening Procedures in the Bivariate Case, Technometrics, 21, 79-85 https://doi.org/10.2307/1268583
  18. Owen, D.B., McIntire, D,. and Seymour, E. (1975), Tables Using One or Two Screening Variables to Increase Acceptable Product Under One-Sided Specifications, Journal of Quality Technology, 7, 127-138 https://doi.org/10.1080/00224065.1975.11980683
  19. Plante, R. (2002), Multivariate Tolerance Design for a Quadratic Design Parameter Model, IIE Transactions, 34, 565-571
  20. Tang, K. (1987), Economic Design of a One-Sided Screening Procedure Using a Correlated Variable, Technometrics, 29, 477-485 https://doi.org/10.2307/1269460
  21. Tang, K. (1988a), Economic Design of Product Specifications for a Complete Inspection Plan, International Journal of Production Research, 26, 203-217 https://doi.org/10.1080/00207548808947854
  22. Tang, K. (1988b), Design of a Two-Stage Screening Procedure Using Correlated Variables: A Loss Function Approach, Naval Research Logistics, 35, 513-533 https://doi.org/10.1002/1520-6750(198810)35:5<513::AID-NAV3220350514>3.0.CO;2-7
  23. Turkman, K.F. and Turkman, M.A.A. (1989), Optimal Screening Methods, Journal of the Royal Statistical Society Series B, 51, 287-295
  24. Wong, A., Meeker,J.B., and Selwyn,M.R. (1985), Screening on Correlated Variables: A Bayesian Approach, Technometrics, 27, 423-431 https://doi.org/10.2307/1270209