생산량이 감소하는 공정평균이동 문제에서 Cpm+ 기준의 손실함수를 적용한 보전모형
A Maintenance Model Applying Loss Function Based on the Cpm+ in the Process Mean Shift Problem in Which the Production Volume Decreases
1
조회
0
다운로드
1
인용
0
참고문헌
키워드
초록
Machines and facilities are physically or chemically degenerated by continuous usage. The representative type of the degeneration is the wearing of tools, which results in the process mean shift. According to the increasing wear level, non-conforming products cost and quality loss cost are increasing simultaneously. Therefore, a preventive maintenance is necessary at some point . The problem of determining the maintenance period (or wear limit) which minimizes the total cost is called the ‘process mean shift problem’. The total cost includes three items: maintenance cost (or adjustment cost), non-conforming cost due to the non-conforming products, and quality loss cost due to the difference between the process target value and the product characteristic value among the conforming products. In this study, we set the production volume as a decreasing function rather than a constant. Also we treat the process variance as a function to the increasing wear rather than a constant. To the quality loss function, we adopted the Cpm+, which is the left and right asymmetric process capability index based on the process target value. These can more reflect the production site. In this study, we presented a more extensive maintenance model compared to previous studies, by integrating the items mentioned above. The objective equation of this model is the total cost per unit wear. The determining variables are the wear limit and the initial process setting position that minimize the objective equation.
Abstract
Machines and facilities are physically or chemically degenerated by continuous usage. The representative type of the degeneration is the wearing of tools, which results in the process mean shift. According to the increasing wear level, non-conforming products cost and quality loss cost are increasing simultaneously. Therefore, a preventive maintenance is necessary at some point . The problem of determining the maintenance period (or wear limit) which minimizes the total cost is called the ‘process mean shift problem’. The total cost includes three items: maintenance cost (or adjustment cost), non-conforming cost due to the non-conforming products, and quality loss cost due to the difference between the process target value and the product characteristic value among the conforming products. In this study, we set the production volume as a decreasing function rather than a constant. Also we treat the process variance as a function to the increasing wear rather than a constant. To the quality loss function, we adopted the Cpm+, which is the left and right asymmetric process capability index based on the process target value. These can more reflect the production site. In this study, we presented a more extensive maintenance model compared to previous studies, by integrating the items mentioned above. The objective equation of this model is the total cost per unit wear. The determining variables are the wear limit and the initial process setting position that minimize the objective equation.
참고문헌 (18)
- 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)
- 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)
- Boyles, R. A., "The Taguchi Capability Index", Journal of Quality Technology, 23(1), pp.17~26 (1991)
- 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)
- Gibra, I.N., "Optimal Control Processes Subject to Linear Trends", The Journal of Industrial Engineering, 18(1), pp.35~41 (1967)
- Juran, J. M., "Quality Handbook" (1962), McGraw-Hill Compa- nies, Inc.
- Kamat, S. J., "A Smoothed Bayes Control of a Variable Quality Characteristic with Linear Shift", Journal of Quality Technology, 8(2), pp.98~104 (1976)
- 이도경, "Cpm+ 기준에서의 공정평균이동에 대한 재조정 기간 결정", 한국산업경영시스템학회지, 41(1), pp.110~117 (2018), 한국산업경영시스템학회[DOI]
- 이도경, "손실함수를 적용한 공정평균 이동에 대한 조정시기 결정", 한국산업경영시스템학회지, 40(1), pp.165~172 (2017), 한국산업경영시스템학회
- 이도경, "생산량과 공정분산이 변하는 공정평균이동 문제의 마모한계 결정", 한국산업경영시스템학회지, 43(3), pp.95~100 (2020), 한국산업경영시스템학회[DOI]
- Lee, D. K., "Determination of Wear Limit and the Initial Position of Tool for a Machining Process", Journal of Society of Korea Industrial and Systems Engineering, 17(31), pp.91~98 (1994)
- 이재훈, "공정평균의 변화율이 정규분포인 제조공정의 최적 목표값", 품질경영학회지, 38(4), pp.540~548 (2010), 한국품질경영학회
- Makis, V., "Optimal Tool Replacement with Asymmetric Quadratic Loss", IIIE Transaction, 28(6), pp.463~466 (1996)
- Manuele, J., "Control Chart for Determining Tool Wear", Industrial Quality Control, 1(6), pp.7~10 (1945)
- 박동근, "선삭가공에서의 인서트 팁의 마모분석과 칩의 형상에 관한 연구", 한국산학기술학회논문지, 16(4), pp.2430~2435 (2015), 한국산학기술학회[DOI]
- Quesenberry, C.P., "A SPG Approach to Compensating a Tool-Wear Process", Journal of Quality Technology, 20(4), pp.220~229 (1988)
- Rahim, M.A., "Integrated Model for Determining the Optimal Initial Settings of the Process Mean and the Optimal Production Run Assuming Qua- dratic Loss Functions", International Journal of Production Research, 42(16), pp.3281~3300 (2004)
- Schneider, H., "Optimal Production Process Subject to AOQL Constraint", Naval Research Logistics Quarterly, 35(3), pp.383~396 (1988)