Análise de conglomerados em curvas de aprendizado para formação de agrupamentos homogêneos de trabalhadores
Cluster analysis of learning curves for grouping workers with homogeneous learning profiles
Stroieke, Renato Eduardo; Fogliatto, Flavio Sanson; Anzanello, Michel José
http://dx.doi.org/10.1590/S0103-65132012005000084
Prod, vol.23, n3, p.537-547, 2013
Resumo
Em diversos setores da indústria é desejado que trabalhadores reunidos em uma estação de trabalho apresentem perfil de aprendizado similar. O presente artigo apresenta um método de agrupamento de trabalhadores utilizando modelagem por curva de aprendizado e técnicas de clusterização. O método modela dados de desempenho de trabalhadores por intermédio de diversos modelos de curvas de aprendizado; os parâmetros de aprendizado dos modelos testados permitem predizer o desempenho dos trabalhadores em intervalos de tempo pré-determinados. Os valores preditos são agrupados através de ferramentas de clusterização. O maior índice de ajuste (IA), gerado a partir do Silhouette Index e do coeficiente de determinação, indica o modelo de curva mais consistente em termos de aderência aos dados e qualidade de agrupamento de perfis de aprendizado. Ao ser aplicado em dados de uma indústria de calçados, o método gerou agrupamentos consistentes de trabalhadores com base nos distintos perfis de aprendizado.
Palavras-chave
Curvas de aprendizado. Clusterização. Agrupamento de trabalhadores
Abstract
In many industrial segments, it is desirable to allocate workers with similar learning profiles in the same workstation. This paper presents a method that groups workers based on learning curve modeling and clustering techniques. Workers’ performance data are modeled through several learning curve models; learning parameters allow for workers’ performance prediction at intervals of predetermined time. The predicted values are then grouped by clustering techniques. The largest Adjustment Index (AI), derived from the Silhouette Index and Coefficient of Determination, indicates the model yielding superior adherence to data and better clustering of learning profiles. When applied to a shoe manufacturing process, the method generated consistent groups of workers based on their learning profiles.
Keywords
Learning curves. Clustering. Groups of workers
References
ADLER, P. S. Shared Learning. Management Science, v. 36, n. 8, p. 938-957, 1990. http://dx.doi.org/10.1287/mnsc.36.8.938
ADLER, P. S.; CLARK, K. B. Behind the Learning Curve: A Sketch of the Learning Process. Management Science, v. 37, n. 3, p. 267-281, 1991. http://dx.doi.org/10.1287/mnsc.37.3.267
ANZANELLO, M. J.; FOGLIATTO, F. S. Curvas de aprendizado: estado da arte e perspectivas de pesquisa. Gestão & Produção, v. 14, p. 109-123, 2007a. http://dx.doi.org/10.1590/S0104-530X2007000100010
ANZANELLO, M. J.; FOGLIATTO, F. S. Learning curve modeling of work assignment in mass customized assembly lines. International Journal of Production Research, v. 45, n. 13, p. 2919-2938, 2007b. http://dx.doi.org/10.1080/00207540600725010
ANZANELLO, M. J.; FOGLIATTO, F. S. Learning curve models and applications: Literature review and research directions. International Journal of Industrial Ergonomics, v. 41, p. 573-583, 2011. http://dx.doi.org/10.1016/j.ergon.2011.05.001
ARGOTE, L. Organizational Learning: Creating, Retaining and Transferring Knowledge. New York: Springer, 1999.
ASKIN, R.; GOLDBERG, J. Design and Analisys of Lean Production Systems. New York: John Wiley & Sons, 2001.
BADIRU, A. B. Computational Survey of Univariate and Multivariate Learning Curve Models. IEEE Transactions on Engineering Management, v. 39, n. 2, p. 176-188, 1992. http://dx.doi.org/10.1109/17.141275
BISKUP, D. A state-of-art review on scheduling with learning effects. European Journal of operational Research, v. 188, p. 315-329, 2007. http://dx.doi.org/10.1016/j.ejor.2007.05.040
COHEN, Y.; VITNER, G.; SARIN, S. Work allocation to stations with varying learning slopes and without buffers. European Journal of Production Research, v. 184, p. 797-801, 2008.
COOK, J. A. Competitive Model of the Japanese Firm. Journal of Policy Modeling, v. 13, n. 1, p. 93-114, 1991. http://dx.doi.org/10.1016/0161-8938(91)90004-1
COROMINAS, A.; OLIVELLA, J.; PASTOR, R. A model for the assignment of a set of tasks when work performance depends on experience of all tasks involved. International Journal Production Economics, v. 126, p. 335-340, 2010. http://dx.doi.org/10.1016/j.ijpe.2010.04.012
FÁVERO, L. P. et al. Análise de Dados - Modelagem Multivariada para Tomada de Decisões. Rio de Janeiro: Editora Campus, 2009.
JABER, M.; GUIFFRIDA, A. Learning Curves for Process Generating Defects Requiring Reworks. European Journal of Production Research, v. 159, n. 3, p. 663-672, 2004.
MAZUR, J. E.; HASTIE, R. Learning as Accumulation: a Reexamination of the Learning Curve. Psychological Bulletin, v. 85, n. 6, p. 1256-1274, 1978. http://dx.doi.org/10.1037/0033-2909.85.6.1256
NEMBHARD, D. A.; UZUMERI, M. V. Experimental learning and forgetting for manual and cognitive tasks. International Journal of Industrial Ergonomics, v. 25, n. 3, p. 315-326, 2000. http://dx.doi.org/10.1016/S0169-8141(99)00021-9
NGWENYAMA, O.; GUERGACHI, A.; MCLAREN, T. Using the learning curve to maximize IT productivity: A decision analysis model for timing software upgrades. International Journal of Production Economics, v. 105, p. 524-535, 2007. http://dx.doi.org/10.1016/j.ijpe.2006.02.013
PROCHNO, P. Learning Curve? Which One? Brazilian Administration Review, v. 1, n. 1, p. 53-66, 2004. http://dx.doi.org/10.1590/S1807-76922004000100005
PRUETT, M.; THOMAS, H. Experience-based learning in innovation and production. R&D Management, v. 38, n. 2, p. 141-153, 2008. http://dx.doi.org/10.1111/j.1467-9310.2008.00504.x
ROHRBACH, A. Economical production of all-metal airplanes and seaplanes. Journal of the Society of Automotive Engineers, v. 20, p. 57-66, 1927.
SÖDERHOLM, P.; SUNDQVIST, T. Empirical challenges in the use of learning curves for assessing the economic prospects of renewable energy technologies. Renewable Energy, v. 32, p. 2559-2578, 2007. http://dx.doi.org/10.1016/j.renene.2006.12.007
TEPLITZ, C. J. The Learning Curve Deskbook: A reference Guide to Theory, Calculations and Applications. New York: Quorum Books, 1991.
TOKSARI, M. D. et al. Simple and U-type line balancing problems with a learning effect. Applied Mathematical Modelling, v. 32, p. 2954-2961, 2008. http://dx.doi.org/10.1016/j.apm.2007.10.007
UZUMERI, M.; NEMBHARD, D. A Population of Learners: A New Way to Measure Organizational Learning. Journal of Operations Management, v. 16, n. 5, p. 515-528, 1998. http://dx.doi.org/10.1016/S0272-6963(97)00017-X
WRIGHT, T. P. Factors Affecting the Cost of Airplanes. Journal of the Aeronautical Sciences, v. 3, p. 122-128, 1936.