Abstract
This paper introduces a mathematical model of tolerance chart balancing for machining process planning under complete inspection. The criteria considered in this study are based on the combined effects of manufacturing cost and quality loss, under constraints such as process capability limits, product design specifications, and product quality requirements. Manufacturing costs include the machining cost, part cost, inspection cost, reworking cost, and replacement cost. The machining cost is expressed in geometrical decreasing functions, which represent tolerances to be assigned. Process variability is expressed in quadratic loss functions, which represent the deviation between the part measurement and the target value. An example is presented to demonstrate the proposed model. A comparison made with previous methods shows that the proposed model minimizes the total cost of manufacturing activities and quality-related issues in machining process planning, particularly in the early stages. Moreover, the applications are not be limited to machining process planning but can also be used in other forms of production planning.
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References
Wade OR, Oliver R (1966) Tolerance control in design and manufacturing. Industrial Press, New York
Eary DF, Johnson GE (1962) Process engineering for manufacturing. Prentice-Hall, New Jersey
Irani SA, Mittal RO, Lehtihet EA (1989) Tolerance chart optimization. Int J Prod Res 27(9):1531–1552
Ji P (1993) A linear programming model for tolerance assignment in a tolerance chart. Int J Prod Res 31(2):737–751
Ngoi BKA (1992) Applying linear programming to tolerance chart balancing. Int J Adv Manuf Technol 7(2):187–192
Ngoi BKA, Teck OC (1993) A complete tolerance charting system. Int J Prod Res 31(2):453–469
Ngoi BKA, Fang SL (1994) Computer-aided tolerance charting. Int J Prod Res 32(8):1939–1954
Ngoi BKA, Tan CS (1997) Graphical approach to tolerance charting—a “maze chart” method. Int J Adv Manuf Technol 13(4):282–289
Ngoi BKA, Cheong KC (1998) The apparent path tracing approach to tolerance charting. Int J Adv Manuf Technol 14(8):580–587
Ngoi BKA, Seow MS (1996) Tolerance synthesis adopting a non-linear programming approach. Int J Adv Manuf Technol 11:387–393
Ngoi BKA, Agarwal M, Chua CS (1998) Nonlinerar optimisation in tolerance charts—a study of objective functions. Int J Adv Manuf Technol 14(6):423–427
He JR, Gibson PR (1992) Computer aided geometric dimensioning and tolerancing for process-operation planning and quality control. Int J Adv Manuf Technol 7(1):11–20
Thimm G, Britton GA, Whybrew K, Fok SC (2001) Optimal process plans for manufacturing and tolerance charting. Proc Inst Mech Eng B 215:1099–1105
Jeang A (2002) Optimal parameter and tolerance design with a complete inspection. Int J Adv Manuf Technol 20:121–127
Taguchi G (1985) Quality engineering in Japan. Commun Stat Theory Methods 14(11):2785–2801
Taguchi G (1989) Introduction to quality engineering, Unipub. White Plains, New York, pp 21–22
Fortinmi EI (1967) Dimensioning for interchangeable manufacturing. Industrial Press, New York, p 48
DeGarmo EP, Black JT, Kohser RA (1988) Materials and processes in manufacturing. Macmillan Publishing Company, New York
Chase KW, Greenwood WH, Loosli BG, Haugland LF (1990) Least cost tolerance allocation for mechanical assemblies with automated process selection. Manuf Rev 3:49–59
Jeang A (1994) Tolerance design: choosing optimal tolerance specification in the design machined parts. Qual Reliab Eng Int 10(1):27–35
Jeang A (1995) Economic tolerance design for quality. Qual Rel Eng Int 11(2):113–121
Jeang A (1996) Tolerance chart balancing for machining process planning. Qual Reliab Eng Int 12(5):1–10
Jeang A (1996) Optimal tolerance design for product life cycle. Int J Prod Res 34(8):2187–2210
Jeang A (1998) Tolerance chart optimization for quality and cost. Int J Prod Res 36(11):2969–2983
Ahluwalia RS, Karolin AV (1984) CATC—a computer aided tolerance control system. J Manuf Syst 3(2):153–160
Xiaoqing T, Devies BJ (1988) Computer aided dimensional planning. Int J Prod Res 26:283–297
Whybrew K, Britton GA, Robinson DF, Sermsuti-anuwat Y (1990) A graph–theoretic approach to tolerance charting. Int J Adv Manuf Technol 5(2):175–183
Jeang A, Chung CP, Hsieh CK (2007) Simultaneous process mean and process tolerance determination with asymmetrical loss function. Int J Adv Manuf Technol 31:694–704
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Jeang, A. Tolerance chart balancing with a complete inspection plan taking account of manufacturing and quality costs. Int J Adv Manuf Technol 55, 675–687 (2011). https://doi.org/10.1007/s00170-010-3110-8
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DOI: https://doi.org/10.1007/s00170-010-3110-8