Monitoring high complex production processes using process capability indices

The increasing demand and the globalization of the market are leading to increasing levels of quality in production processes, and thus, nowadays, multiple product characteristics must be tested because they are considered critical. In this context, decision makers are forced to interpret a huge amount of quality indicators, when monitoring production processes. This fact leads to a misunderstanding as a result of information overload. The aim of this paper is to help practitioners when monitoring the capability of processes with a huge amount of product characteristics. We propose a methodology that reduces the amount of data in capability analysis by structuring hierarchically the multiple quality indicators obtained in the quality tests. The proposed methodology may help practitioners and decision makers of the industry in three aspects of statistical process monitoring: to identify the part of a complex production process that presents capability problems, to detect worsening over the time in multivariate production processes, and to compare similar production processes. Some illustrative examples based on different kinds of production processes are discussed in order to illustrate the methodology. A case of study based on a real production process of the automotive industry is analyzed using the proposed methodology. We conclude that the proposed methodology reduces the necessary amount of data in capability analysis; and thus, that it provides an added value of great interest for managers and decision makers.

[1]  Richard D. Braatz,et al.  Perspectives on process monitoring of industrial systems , 2016, Annu. Rev. Control..

[2]  A. Veevers Viability and capability indexes for multiresponse processes , 1998 .

[3]  Davis R. Bothe,et al.  COMPOSITE CAPABILITY INDEX FOR MULTIPLE PRODUCT CHARACTERISTICS , 1999 .

[4]  Wen Lea Pearn,et al.  Distributional and inferential properties of the process accuracy and process precision indices , 1998 .

[5]  Ismael Sánchez,et al.  Capability indices and nonconforming proportion in univariate and multivariate processes , 2009 .

[6]  Wen Lea Pearn,et al.  Capability assessment for processes with multiple characteristics: A generalization of the popular index Cpk , 2011, Qual. Reliab. Eng. Int..

[7]  Mahdi Bashiri,et al.  A New Multivariate Process Capability Index Under Both Unilateral and Bilateral Quality Characteristics , 2012, Qual. Reliab. Eng. Int..

[8]  T. Slatter,et al.  Using spindle noise to monitor tool wear in a turning process , 2016 .

[9]  Victor E. Kane,et al.  Process Capability Indices , 1986 .

[10]  Ingrid Tano,et al.  A Multivariate Process Capability Index Based on the First Principal Component Only , 2013, Qual. Reliab. Eng. Int..

[11]  Panlop Zeephongsekul,et al.  A new process capability index for multiple quality characteristics based on principal components , 2016 .

[12]  Moustafa Elshafei,et al.  Integration of multivariate statistical process control and engineering process control: a novel framework , 2015 .

[13]  Ernest Benedito,et al.  A review of univariate and multivariate process capability indices , 2017 .

[14]  N. L. Johnson,et al.  Distributional and Inferential Properties of Process Capability Indices , 1992 .

[15]  V. Ostasevicius,et al.  Monitoring the condition of the cutting tool using self-powering wireless sensor technologies , 2017 .

[16]  D. Zwick,et al.  A HYBRID METHOD FOR FITTING DISTRIBUTIONS TO DATA AND ITS USE IN COMPUTING PROCESS CAPABILITY INDICES , 1995 .

[17]  Przemysław Oborski,et al.  Developments in integration of advanced monitoring systems , 2014, The International Journal of Advanced Manufacturing Technology.

[18]  Jeh-Nan Pan,et al.  Developing New Multivariate Process Capability Indices for Autocorrelated Data , 2015, Qual. Reliab. Eng. Int..

[19]  Philippe Castagliola,et al.  Evaluation of Non-Normal Process Capability Indices Using Burr's Distributions , 1996 .

[20]  Min Xie,et al.  Process Capability Indices Based on the Highest Density Interval , 2015, Qual. Reliab. Eng. Int..

[21]  Shey-Huei Sheu,et al.  Integrating multivariate engineering process control and multivariate statistical process control , 2006 .

[22]  Stelios Psarakis,et al.  Adaptive Control Charts: Recent Developments and Extensions , 2015, Qual. Reliab. Eng. Int..

[23]  George Chryssolouris,et al.  Tool wear predictability estimation in milling based on multi-sensorial data , 2016 .

[24]  Antonio Fernando Branco Costa,et al.  A new chart based on sample variances for monitoring the covariance matrix of multivariate processes , 2009 .

[25]  Jyh-Jen Horng Shiau,et al.  Yield‐Related Process Capability Indices for Processes of Multiple Quality Characteristics , 2013, Qual. Reliab. Eng. Int..

[26]  Cherng G. Ding A new process capability index for non-normal , 2001 .

[27]  Fu-Kwun Wang,et al.  Process Yield for Multivariate Linear Profiles with One‐sided Specification Limits , 2016, Qual. Reliab. Eng. Int..

[28]  Reza Eslamipoor,et al.  A Modified Process Capability Index Using Loss Function Concept , 2016, Qual. Reliab. Eng. Int..

[29]  Stelios Psarakis,et al.  Multivariate statistical process control charts: an overview , 2007, Qual. Reliab. Eng. Int..

[30]  Fred A. Spiring,et al.  A New Measure of Process Capability: Cpm , 1988 .

[31]  Toni Lupo,et al.  The New Nino Capability Index for Dynamic Process Capability Analysis , 2015, Qual. Reliab. Eng. Int..

[32]  Evdokia Xekalaki,et al.  On the Implementation of the Principal Component Analysis–Based Approach in Measuring Process Capability , 2012, Qual. Reliab. Eng. Int..

[33]  Birgit Vogel-Heuser,et al.  A multivariate process capability index that complies with industry requirements , 2016, IECON 2016 - 42nd Annual Conference of the IEEE Industrial Electronics Society.

[34]  Krzysztof Ciupke,et al.  Multivariate Process Capability Vector Based on One‐Sided Model , 2015, Qual. Reliab. Eng. Int..

[35]  Das Nandini,et al.  Multivariate Process Capability Index: A Review and Some Results , 2013 .

[36]  Zhang Shengbing,et al.  A multivariate process capability index with a spatial coefficient , 2013 .