본문 바로가기
KERD
논문KCI 등재

손실함수를 적용한 공정평균 이동에 대한 조정시기 결정

Determination of the Resetting Time to the Process Mean Shift by the Loss Function

이도경
한국산업경영시스템학회 (KOREAN SOCIETY OF INDUSTRIAL AND SYSTEMS ENGINEERING)|2017.03|한국산업경영시스템학회지 (Journal of Korean Society of Industrial and Systems Engineering)|제40권 제1호|pp. 165-172

0

조회

0

다운로드

4

인용

0

참고문헌

키워드

Process Mean ShiftQuality Loss FunctionWear LimitCanning Process
주제분류산업공학

초록

Machines are physically or chemically degenerated by continuous usage. One of the results of this degeneration is the process mean shift. Under the process mean shift, production cost, failure cost and quality loss function cost are increasing continuously. Therefore a periodic preventive resetting the process is necessary. We suppose that the wear level is observable. In this case, process mean shift problem has similar characteristics to the maintenance policy model. In the previous studies, process mean shift problem has been studied in several fields such as ‘Tool wear limit’, ‘Canning Process’ and ‘Quality Loss Function’ separately or partially integrated form. This paper proposes an integrated cost model which involves production cost by the material, failure cost by the nonconforming items, quality loss function cost by the deviation between the quality characteristics from the target value and resetting the process cost. We expand this process mean shift problem a little more by dealing the process variance as a function, not a constant value. We suggested a multiplier function model to the process variance according to the analysis result with practical data. We adopted two-side specification to our model. The initial process mean is generally set somewhat above the lower specification. The objective function is total integrated costs per unit wear and independent variables are wear limit and initial setting process mean. The optimum is derived from numerical analysis because the integral form of the objective function is not possible. A numerical example is presented.

Abstract

Machines are physically or chemically degenerated by continuous usage. One of the results of this degeneration is the process mean shift. Under the process mean shift, production cost, failure cost and quality loss function cost are increasing continuously. Therefore a periodic preventive resetting the process is necessary. We suppose that the wear level is observable. In this case, process mean shift problem has similar characteristics to the maintenance policy model. In the previous studies, process mean shift problem has been studied in several fields such as ‘Tool wear limit’, ‘Canning Process’ and ‘Quality Loss Function’ separately or partially integrated form. This paper proposes an integrated cost model which involves production cost by the material, failure cost by the nonconforming items, quality loss function cost by the deviation between the quality characteristics from the target value and resetting the process cost. We expand this process mean shift problem a little more by dealing the process variance as a function, not a constant value. We suggested a multiplier function model to the process variance according to the analysis result with practical data. We adopted two-side specification to our model. The initial process mean is generally set somewhat above the lower specification. The objective function is total integrated costs per unit wear and independent variables are wear limit and initial setting process mean. The optimum is derived from numerical analysis because the integral form of the objective function is not possible. A numerical example is presented.

참고문헌 (23)

  1. Ahn G.H., "Determination of Starting Value and the Resetting Time for a Production Process with Linear Shift in a Process Mean", Journal of the Korean Society for Quality Management, 26(4), pp.51~64 (1998)
  2. Arcelus, F. J., "Optimal Production Run for a Normally Distributed Quality Characteristics Exhibiting Non-Negative Shifts in Process Mean and Variance", IIE Transactions, 14(2), pp.90~98 (1982)
  3. Barlow, R.E., "Optimum Preventive Maintenance Policies", Operations Research, 8(1), pp.90~100 (1960)
  4. Boyles, R. A., "The Taguchi Capability Index", Journal of Quality Technology, 23(1), pp.17~26 (1991)
  5. Chen, C.H., "Determining the optimum process mean based on Asymmetric Quality Loss Function and Rectifying Inspection Plan", IEEE : Industrial Engineering Management Conference, pp.1080~1084 (2004)
  6. Gibra, I. N., "Optimal Control Processes Subject to Linear Trends", The Journal of Industrial Engineering, 18, pp.35~41 (1967)
  7. Golhar, D. Y., "Determination of the Best Mean Contents for a Canning problem", Journal of Quality Technology, 19, pp.82~84 (1987)
  8. Hunter, W.G., "Determining the Most Profitable Target Value for a Production Process", Journal of Quality Technology, 9, pp.176~180 (1977)
  9. Kamat, S. J., "A Smoothed Bayes Control of a Variable Quality Characteristic with Linear Shift", Journal of Quality Technology, 8, pp.98~104 (1976)
  10. 김동혁, "역정규 손실함수를 이용한 기대손실 관리도의 개발", 산업경영시스템학회지, 39(2), pp.37~45 (2016), 한국산업경영시스템학회
  11. Lee, D. K., "Determination of Wear Limit and the Initial Setting Position of Tool for a Machining Process", Journal of the Society of Korea Industrial and Systems Engineering, 17, pp.91~98 (1994)
  12. 이재훈, "공정평균의 변화율이 정규분포인 제조공정의 최적 목표값", 품질경영학회지, 38(4), pp.540~548 (2010), 한국품질경영학회
  13. Lee, M.K., "Determination of the Optimal Target Values for a Canning Process with Linear Shift in the Mean", Journal of the Korean Institute of Industrial Engineers, 20(1), pp.3~13 (1994)
  14. Makis, V., "Optimal tool replacement with asymmetric quadratic loss", IIIE Transaction, 28(6), pp.463~466 (1996)
  15. Manuele, J., "Control Chart for Determining Tool Wear", Industrial Quality Control, 1, pp.7~10 (1945)
  16. Mun, H.J., "A Study on Multivariate Process Capability Index using Quality Loss Function", Journal of the Society of Korea Industrial and Systems Engineering, 25(2), pp.1~10 (2001)
  17. Pandit, S.M., "Time Series and System Analysis with Applications", pp.307~ (1983), John Wiely & Sons
  18. Park, K. S., "Optimal Wear-Limit Replacement with Wear Dependent Failures", IEEE Transactions on Reliability, 37(3), pp.293~294 (1988)
  19. Quesenberry, C. P., "A SPG Approach to Compensating a Tool-Wear Process", Journal of Quality Technology, 20(4), pp.220~229 (1988)
  20. Rahim, M.A., "Integrated Model for Determining the Optimal Initial Settings of the Process Mean and the Optimal Production Run Assuming Quadratic Loss Functions", International Journal of Production Research, 42(16), pp.3281~3300 (2004)
  21. Schneider, H., "Optimal Production Process Subject to AOQL Constraint", Naval Research Logistics Quarterly, 35(3), pp.383~396 (1988)
  22. Springer, C. H., "A Method for Determining the Most Economic Position of a Process Mean", Industrial Quality Control, 8, pp.36~39 (1951)
  23. Sule, D.R., "Determination of Coordinated Maintenance Scheduling Frequencies for a Group of Machines", AIIE Transactions, 11(1), pp.540~548 (1979)

관련 논문AI추천

생산량과 공정분산이 변하는 공정평균이동 문제의 마모한계 결정이도경한국산업경영시스템학회 · 한국산업경영시스템학회지2020 · 제43권 제3호Cpm+ 기준에서의 공정평균이동에 대한 재조정 기간 결정이도경한국산업경영시스템학회 · 한국산업경영시스템학회지2018 · 제41권 제1호고장을 고려한 공정평균 이동에 대한 조정시기 결정이도경한국산업경영시스템학회 · 한국산업경영시스템학회지2019 · 제42권 제4호생산량이 감소하는 공정평균이동 문제에서 Cpm+ 기준의 손실함수를 적용한 보전모형이도경한국산업경영시스템학회 · 한국산업경영시스템학회지2021 · 제44권 제1호보전비용 증가와 생산량 감소를 고려한 공정평균이동 모형이도경중소기업융합학회 · 융합정보논문지2021 · 제11권 제3호공정평균의 변화율이 정규분포인 제조공정의 최적 목표값권혁무, 박태호, 이민구, 이재훈, 홍성훈한국품질경영학회 · 품질경영학회지2010 · 제38권 제4호

이 간행물의 다른 논문 (17건)

스포츠 유틸리티 차량의 테일게이트 개폐 불편도와 만족도 평가유태범, 손병창pp. 1-10휴리스틱 기법을 이용한 포병진지 구축작전시 공병장비 최적배정이문걸, 박세환pp. 11-21스마트폰 구매결정 요인이 고객만족에 미치는 영향 : 연령과 성별 조절 효과 분석백동현, 이중배pp. 22-34CAE을 이용한 주조방안설계 : 자동차용 부품(오일팬_BR2E)권홍규pp. 35-40역정규 손실함수를 이용한 기대손실 능력지수의 개발정영배, 전동진pp. 41-49
원문 보기