Multicriteria capability indices. (Mehrkriterielle Fähigkeitsbewertung.) (German) Zbl 0909.90149
Summary: Introduction of modern quality management systems in branches as well as between several branches, especially in the metalworking industry, leads to customer-supplier-agreements with fixed minimal values of capability indices for machines, processes and equipment.
But, problems can be observed in case that there are more than one quality characteristic or if the probability distribution is not normal and in definitions of traditional capability indices functionality of produced workpieces is not well considered as well.
New possibilities for evaluation of complex characteristic patterns, definitions of which are taking into account the multicriterial and statistical properties of the evaluation problem, are shown in this paper.
But, problems can be observed in case that there are more than one quality characteristic or if the probability distribution is not normal and in definitions of traditional capability indices functionality of produced workpieces is not well considered as well.
New possibilities for evaluation of complex characteristic patterns, definitions of which are taking into account the multicriterial and statistical properties of the evaluation problem, are shown in this paper.
MSC:
| 90B25 | Reliability, availability, maintenance, inspection in operations research |
Keywords:
capability indices; multicriteria decision making; statistical methods; fuzzy sets; quality managementReferences:
| [1] | Boyles RA (1991) The Taguchi Capability Index. Journal of Quality Technology 23: 17-28 |
| [2] | Dietrich E, Schulze A (1996) Statistische Verfahren zur Maschinen- und Prozeßqualifikation. Carl Hanser, München Wien |
| [3] | Chan LK et al. (1990) A multivariate measure of process capability. J Modeling Simul 11: 1-6 |
| [4] | Ester J (1986) Concepts of efficiency and fuzzy aggregation rules. In: Fandel G, Grauer M, Kurzhanski A, Wierzbicki A (eds) Large-scale modelling and interactive decision analysis, pp 59-66. Springer, Berlin Heidelberg New York |
| [5] | Ester J, Troeltzsch F (1986) On generalized notions of efficiency in MCDM. Syst Anal Model Simul 3: 153-161 · Zbl 0626.90084 |
| [6] | Ester J (1987) Systemanalyse und mehrkriterielle Entscheidung. Verlag Technik, Berlin · Zbl 0644.90057 |
| [7] | Jahn W (1997) Prozesse sensibler steuern. Qualität und Zuverlässigkeit 4: 440-448 |
| [8] | Johnson T (1992) The relationship ofC pm to squared error loss. Journal of Quality Technology 24: 211-215 |
| [9] | Kotz S, Johnson NL (1993) Process capability indices. Chapman & Hall, London Glasgow New York Tokyo Melbourne Madras · Zbl 0860.62075 |
| [10] | Kühl B (1970) Zur Theorie und Anwendung nicht-Gaussscher stochastischer Vorgänge. Dissertation, TU Hannover, Fakultät für Maschinenwesen |
| [11] | Pearson K (1895) Contribution to the mathematical theory of evolution. Phil Trans Roy Soc London, Ser A 186: 344-414 · JFM 26.0243.03 |
| [12] | Stange K (1971) Angewandte Statistik. Springer, Berlin Heidelberg New York · Zbl 0222.62002 |
| [13] | Trumpold H, Beck C, Richter G (1997) Toleranzsysteme und Toleranzdesign. Carl Hanser, München Wien |
| [14] | Zadeh LA (1965) Fuzzy sets. Inform and Control 8: 338-353 · Zbl 0139.24606 · doi:10.1016/S0019-9958(65)90241-X |
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