Optimum Dataset Size and Search Space for Minimum Zone Roundness Evaluation by Genetic Algorithm

[1] International Organization for Standardization (2011). ISO 1101, Geometrical Product Specifications (GPS)-tolerances of form, orientation, location and run out, 2nd ed., Geneva, Switzerland.Search in Google Scholar

[2] ASME B89.3.1 (2003) Measurement of Out-Of- Roundness.Search in Google Scholar

[3] Sharma, R., Rajagopal, K. & Anand, S. (2000). A genetic algorithm based approach for robust evaluation of form tolerances, Journal ofManufacturing Systems, 19(1), 46-57.10.1016/S0278-6125(00)88889-5Search in Google Scholar

[4] Dhanish, P.B. & Shunmugam, M.S. (1991). An algorithm for form error evaluation - using the theory of discrete and linear chebyshev approximation, Computer Methods in AppliedMechanics and Engineering, 92, 309-324.10.1016/0045-7825(91)90019-3Search in Google Scholar

[5] Murthy, T.S.R. & Abdin, S.Z. (1980). Minimum zone evaluation of surfaces, Int. J. of Machine ToolDesign Research, 20, 123-136.10.1016/0020-7357(80)90024-4Search in Google Scholar

[6] Kovvur, Y., Ramaswami, H., Anand R.B. & Sam Anand (2008). Minimum-zone form tolerance evaluation using particle swarm optimisation, Int. J. Intelligent Systems Technologies and Applications, 4(1/2).10.1504/IJISTA.2008.016360Search in Google Scholar

[7] Weber, T., Motavalli, S., Fallahi, B., & Cheraghi, S.H. (2002). A unified approach to form error evaluation, Journal of the International Societies forPrecision Engineering and Nanotechnology, 26, 269-278.10.1016/S0141-6359(02)00105-8Search in Google Scholar

[8] Wen, X., Xia, Q. & Zhao, Y. (2006). An effective genetic algorithm for circularity error unified evaluation, Int. J. of Machine Tools & Manufacture, 46, 1770-1777.10.1016/j.ijmachtools.2005.11.015Search in Google Scholar

[9] Yan, L., Yan, B., Cai, L., Hu, G. & Wang, M. (2009). Research on roundness error evaluation of shaft parts based on genetic algorithms with transfer-operator, ICEMI 2009 - Proceedings of Nineth International Conference on Electronic Measurement and Instruments, 2362-2366.10.1109/ICEMI.2009.5274566Search in Google Scholar

[10] Rossi, A., Antonetti, M., Barloscio M. & Lanzetta, M. (2011). Fast genetic algorithm for roundness evaluation by the minimum zone tolerance (MZT) method, Measurement, 44(7), 1243-1252.10.1016/j.measurement.2011.03.031Search in Google Scholar

[11] Rossi, A. & Lanzetta, M. (2013). Optimal blind sampling strategy for minimum zone roundness evaluation by metaheuristics, Precision Engineering, 37, 241-247, doi:10.1016/j.precisioneng.2012.09.001.10.1016/j.precisioneng.2012.09.001Search in Google Scholar

[12] Moroni, G. & Petrò, S. (2008). Geometric tolerance evaluation: A discussion on minimum zone fitting algorithms, Precision Engineering, 32(3), 232-237.10.1016/j.precisioneng.2007.08.007Search in Google Scholar

[13] Chajda, J., Grzelka, M.¸ Gapinski, B., Pawłowski, M. Szelewski, M. & Rucki, M. (2008). Coordinate measurement of complicated parameters like roundness, cylindricity, gear teeth or free-form surface, 8th Int. Conf. on Advanced Manufacturing Operations.Search in Google Scholar

[14] Gapinski, B, & Rucki, M. (2007). Uncertainty in CMM Measurement of Roundness, AMUEM 2007 - International Workshop on Advanced Methods for Uncertainty Estimation in Measurement Sardegna, Trento, Italy, 16-18 July 2007.10.1109/AMUEM.2007.4362564Search in Google Scholar

[15] Gapinski, B, Grezelka, M. & Rucki, M. (2006). Some aspects of the roundness measurement with CMM, XVIII IMEKO World Congress Metrology for a Sustainable Development September, 17 - 22, 2006, Rio de Janeiro, Brazil.Search in Google Scholar

[16] Rossi, A. (2001). A form of deviation-based method for coordinate measuring machine sampling optimization in an assessment of roundness, Proc. Instn Mech. Engrs, Part B: Journal of EngineeringManufacture, 215, 1505-1518.10.1243/0954405011519411Search in Google Scholar

[17] Rossi, A. (2001). A minimal inspection sampling technique for roundness evaluation, 1st CIRP International Seminar on PRogress in Innovative Manufacturing Engineering (Prime), Sestri Levante, Italy, June, 20-22, 2001, 189-196.Search in Google Scholar

[18] Weckenmann, A., Knauer, M., & Kunzmann, H. (1998). The influence of measurement strategy on the uncertainty of CMM-measurements. CIRP Annals-Manufacturing Technology, 47(1), 451-454.10.1016/S0007-8506(07)62872-8Search in Google Scholar

[19] Weckenmann, A., Weber, H., Eitzert, H. & Garmer, M. (1995). Functionality-oriented evaluation and sampling strategy in coordinate metrology, PrecisionEngineering, 17(4), 244-52.10.1016/0141-6359(94)00020-ZSearch in Google Scholar

[20] Rossi, A. & Lanzetta, M. (2013). Roundness: a closed form upper bound for the centroid to minimum zone center distance by worst-case analysis, Measurement, 46 (7), 2251-2258, doi:10.1016/j.measurement.2013.03.025.10.1016/j.measurement.2013.03.025Search in Google Scholar

[21] National Physical Laboratory (UK), Data Generator for Chebyshev Best-Fit Circle, http://www.npl.co.uk/mathematics-scientific-computing/software-supportfor-metrology/,acc.05/2013.Search in Google Scholar