Abstract
The allocation of design and manufacturing tolerances directly influences the manufacturing cost and functionality of a product. Traditionally, it is carried out in two phases; CAD and CAPP, in a sequential manner. This approach has the drawbacks of more lead-time and sub-optimality. The present work reports on a procedure to simultaneously allocate both design and manufacturing tolerances based on minimum total manufacturing cost. The optimization model for tolerance design is a non-linear multivariable problem. Since such a problem may have a noisy surface, there is a need to apply an efficient global optimization technique. In the present work, scatter search, one of the recently emerged optimization techniques in the area of metaheuristics, is applied successfully to determine the optimal tolerances at the minimum manufacturing cost. An example is taken from the literature to explain the proposed methodology. The results exhibit the effectiveness of the proposed algorithm over other methods.
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References
Dong Z, Hu W, Xue D (1994) New production cost-tolerance models for tolerance synthesis. ASME Trans J Eng Ind 116:199–206
Zhang C, Wang B (1993) The discrete tolerance optimization problem. Manuf Rev 6(1):60–71
Chase KW, Greenwood WH, Loosli G, and Haugland LH (1990) Least cost tolerance allocation for mechanical assemblies with automated process selection. Manuf Rev 3(1):49–59
Lee WJ, Woo TC (1989) Optimum selection of discrete tolerances. ASME Trans J Mech, Transmiss Automat Des 111:243–251
Lee WJ, Woo TC, Chou SY (1993) Tolerance synthesis for non linear systems based on non linear programming. IIE Trans 25(1):51–61
Singh PK, Jain PK, Jain SC (2003) Simultaneous optimal selection of design and manufacturing tolerances with different stack-up conditions using genetic algorithms. Int J Prod Res 41(11):2411–2429
Zhang C, Wang H (1994) Integrated tolerance optimization with simulated annealing. Int J Adv Manuf Technol 116:119–206
Al-Ansary MD, Deiab LM (1997) Concurrent optimization of design and machining tolerances using the genetic algorithms method. Int J Mach Tools Manuf 37(12):1721–1731
Glover F (1999) Scatter search and path relinking. New ideas in Optimization, McGraw-Hill, London, pp 297–316
Glover F, Laguna M, Marti R (2000) Fundamentals of scatter search and path relinking. Control Cybern 39:653–685
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Krishna, A.G., Rao, K.M. Simultaneous optimal selection of design and manufacturing tolerances with different stack-up conditions using scatter search. Int J Adv Manuf Technol 30, 328–333 (2006). https://doi.org/10.1007/s00170-005-0059-0
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DOI: https://doi.org/10.1007/s00170-005-0059-0