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역정규 손실함수를 이용한 기대손실 능력지수의 개발

Development of Expected Loss Capability Index Using Reflected Normal Loss Function

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주제분류산업공학

초록

Process quality control, which prevents problems and risks that may occur in products and processes, has been recognized as an important issue, and SPC techniques have been used for this purpose. Process Capability Index (PCI) is useful Statistical Process Control (SPC) tool that is measure of process diagnostic and assessment tools widely use in industrial field. It has advantage of easy to calculate and easy to use in the field. Cp and Cpk are traditional PCIs. These traditional Cp and Cpk were used only as a measure of process capability, taking into account the quality variance or the bias of the process mean. These are not given information about the characteristic value does not match the target value of the process and this has the disadvantage that it is difficult to assess the economic losses that may arise in the enterprise. Studies of this process capability index by many scholars actively for supplement of its disadvantage. These studies to evaluate the capability of situation of various field has presented a new process capability index. Cpm is considers both the process variation and the process deviation from target value. And Cpm + is considers economic loss for the process deviation from target value. In this paper we developed an improved Expected Loss Capability Index using Reflected Normal Loss Function of Spring. This has the advantage that it is easy to realistically reflect the loss when the specification is asymmetric around the target value. And check the correlation between existing traditional process capability index (Cpk) and new one. Finally, we propose the criteria for classification about developed process capability index.

Abstract

Process quality control, which prevents problems and risks that may occur in products and processes, has been recognized as an important issue, and SPC techniques have been used for this purpose. Process Capability Index (PCI) is useful Statistical Process Control (SPC) tool that is measure of process diagnostic and assessment tools widely use in industrial field. It has advantage of easy to calculate and easy to use in the field. Cp and Cpk are traditional PCIs. These traditional Cp and Cpk were used only as a measure of process capability, taking into account the quality variance or the bias of the process mean. These are not given information about the characteristic value does not match the target value of the process and this has the disadvantage that it is difficult to assess the economic losses that may arise in the enterprise. Studies of this process capability index by many scholars actively for supplement of its disadvantage. These studies to evaluate the capability of situation of various field has presented a new process capability index. Cpm is considers both the process variation and the process deviation from target value. And Cpm + is considers economic loss for the process deviation from target value. In this paper we developed an improved Expected Loss Capability Index using Reflected Normal Loss Function of Spring. This has the advantage that it is easy to realistically reflect the loss when the specification is asymmetric around the target value. And check the correlation between existing traditional process capability index (Cpk) and new one. Finally, we propose the criteria for classification about developed process capability index.

참고문헌 (11)

  1. Bolyes, R. A., "The Taguchi Capability index", Journal of Quality Technology, 24(4), pp.17~26 (1991)
  2. Chan, L. K., "A New Measure of Process Capability : Cpm", Journal of Quality Technology, 30(3), pp.162~175 (1988)
  3. 정영배, "손실함수를 이용한 공정능력지수에 관한 연구", 대한설비관리학회지, 16(3), pp.99~106 (2011), 대한설비관리학회
  4. 정영배, "공정능력지수에 대한 비교와 적용", 산업경영시스템학회지, 30(4), pp.182~189 (2007), 한국산업경영시스템학회
  5. 정영배, "역정규 손실함수를 이용한 공정능력지수에 관한 연구", 품질경영학회지, 30(3), pp.5~78 (2002), 한국품질경영학회
  6. Chung, Y.B., "Statistical Quality Control" (2010), Seongandang
  7. Juran, J. M., "Quality Control handbook" (1974), Mcgraw-Hill, Inc.
  8. Kane, V. E., "Process Capability Indices", Journal of Quality Technology, 18(1), pp.41~52 (1986)
  9. 김동혁, "경제적 손실을 고려한 기대손실 관리도의 설계", 산업경영시스템학회지, 36(2), pp.56~62 (2013), 한국산업경영시스템학회[DOI]
  10. 김동혁, "경제적 손실을 고려한 기대손실 능력지수의 개발", 산업경영시스템학회지, 36(4), pp.109~115 (2013), 한국산업경영시스템학회
  11. Spiring, F. A., "The Reflected Normal Loss Function", Canadian Journal of Statistics, 21(3), pp.321~330 (1993)

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