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Published in: Quality & Quantity 3/2024

19-09-2023

Process capability analysis for simple linear profiles

Authors: Aylin Pakzad, Saeed Adibfar, Hamideh Razavi, Rassoul Noorossana

Published in: Quality & Quantity | Issue 3/2024

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Abstract

When a process is under statistical control, one is usually interested in evaluating process performance based on specification limits (SLs) provided by customer. This evaluation is referred to as process capability analysis. This study provides a new method to measure process capability index (PCI) for a simple linear profile based on its parameters. In this regard, the SLs for the proposed PCIs (SLs for the profile parameters) are presented based on SLs of the response variable while considering the in-control profiles. Simulation results reveal satisfactory performance for the proposed method considering absolute percentage error criterion. In addition, the minimum number of profile samples for estimation of the proposed PCIs are determined. A real case in calibration application is also considered to show the applicability of the proposed method in practice.

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Literature
go back to reference AbbasiGanji, Z., SadeghpourGildeh, B.: Fuzzy process capability indices for simple linear profile. J. Appl. Stat. 47(12), 1–23 (2020) AbbasiGanji, Z., SadeghpourGildeh, B.: Fuzzy process capability indices for simple linear profile. J. Appl. Stat. 47(12), 1–23 (2020)
go back to reference Ahmadabadi, M.N., Farjami, Y., Moghadam, M.B.: A process control method based on five-parameter generalized lambda distribution. Qual. Quant. 46, 1097–1111 (2012)CrossRef Ahmadabadi, M.N., Farjami, Y., Moghadam, M.B.: A process control method based on five-parameter generalized lambda distribution. Qual. Quant. 46, 1097–1111 (2012)CrossRef
go back to reference Alevizakos, V., Koukouvinos, C.: Evaluation of process capability in gamma regression profiles. Commun. Stat. Simul. Comput. 51(8), 1–16 (2020) Alevizakos, V., Koukouvinos, C.: Evaluation of process capability in gamma regression profiles. Commun. Stat. Simul. Comput. 51(8), 1–16 (2020)
go back to reference Alevizakos, V., Koukouvinos, C., Castagliola, P.: Process capability index for Poisson regression profile based on the SPMK index. Qual. Eng. 31(3), 1–9 (2019a)CrossRef Alevizakos, V., Koukouvinos, C., Castagliola, P.: Process capability index for Poisson regression profile based on the SPMK index. Qual. Eng. 31(3), 1–9 (2019a)CrossRef
go back to reference Alevizakos, V., Koukouvinos, C., Lappa, A.: Comparative study of the CP and SPMK indices for logistic regression profile using different link functions. Qual. Eng. 31(3), 453–462 (2019b)CrossRef Alevizakos, V., Koukouvinos, C., Lappa, A.: Comparative study of the CP and SPMK indices for logistic regression profile using different link functions. Qual. Eng. 31(3), 453–462 (2019b)CrossRef
go back to reference Chan, L.K., Cheng, S.W., Spiring, F.A.: A new measure of process capability: CPM. J. Qual. Technol. 20(3), 162–175 (1988)CrossRef Chan, L.K., Cheng, S.W., Spiring, F.A.: A new measure of process capability: CPM. J. Qual. Technol. 20(3), 162–175 (1988)CrossRef
go back to reference Chiang, J.Y., Lio, Y.L., Tsai, T.R.: MEWMA control chart and process capability indices for simple linear profiles with within-profile autocorrelation. Qual. Reliab. Eng. Int. 33(5), 1083–1094 (2017)CrossRef Chiang, J.Y., Lio, Y.L., Tsai, T.R.: MEWMA control chart and process capability indices for simple linear profiles with within-profile autocorrelation. Qual. Reliab. Eng. Int. 33(5), 1083–1094 (2017)CrossRef
go back to reference Ebadi, M., Shahriari, H.: A process capability index for simple linear profile. Int. J. Adv. Manuf. Technol. 64(5–8), 857–865 (2013)CrossRef Ebadi, M., Shahriari, H.: A process capability index for simple linear profile. Int. J. Adv. Manuf. Technol. 64(5–8), 857–865 (2013)CrossRef
go back to reference Hosseinifard, S.Z., Abbasi, B.: Evaluation of process capability indices of linear profiles. Int. J. Qual. Reliab. Manag. 29(2), 162–176 (2012a)CrossRef Hosseinifard, S.Z., Abbasi, B.: Evaluation of process capability indices of linear profiles. Int. J. Qual. Reliab. Manag. 29(2), 162–176 (2012a)CrossRef
go back to reference Hosseinifard, S.Z., Abbasi, B.: Process capability analysis in non normal linear regression profiles. Commun. Stat. Simul. Comput. 41(10), 1761–1784 (2012b)CrossRef Hosseinifard, S.Z., Abbasi, B.: Process capability analysis in non normal linear regression profiles. Commun. Stat. Simul. Comput. 41(10), 1761–1784 (2012b)CrossRef
go back to reference Hsiang, T.C., Taguchi, G.: Tutorial on quality control and assurance-the Taguchi methods. In: Joint Meetings of the American Statistical Association, p. 188. Las Vegas (1985) Hsiang, T.C., Taguchi, G.: Tutorial on quality control and assurance-the Taguchi methods. In: Joint Meetings of the American Statistical Association, p. 188. Las Vegas (1985)
go back to reference Kane, V.E.: Process capability indices. J. Qual. Technol. 18(1), 41–52 (1986)CrossRef Kane, V.E.: Process capability indices. J. Qual. Technol. 18(1), 41–52 (1986)CrossRef
go back to reference Kang, L., Albin, S.L.: On-line monitoring when the process yields a linear profile. J. Qual. Technol. 32(4), 418–426 (2000)CrossRef Kang, L., Albin, S.L.: On-line monitoring when the process yields a linear profile. J. Qual. Technol. 32(4), 418–426 (2000)CrossRef
go back to reference KarimiGhartemani, M., Noorossana, R., Niaki, S.T.A.: A new approach in capability analysis of processes monitored by a simple linear regression profile. Qual. Reliab. Eng. Int. 32(2), 209–221 (2016)CrossRef KarimiGhartemani, M., Noorossana, R., Niaki, S.T.A.: A new approach in capability analysis of processes monitored by a simple linear regression profile. Qual. Reliab. Eng. Int. 32(2), 209–221 (2016)CrossRef
go back to reference Kim, S., Kim, H.: A new metric of absolute percentage error for intermittent demand forecasts. Int. J. Forecast. 32(3), 669–679 (2016)CrossRef Kim, S., Kim, H.: A new metric of absolute percentage error for intermittent demand forecasts. Int. J. Forecast. 32(3), 669–679 (2016)CrossRef
go back to reference Kim, K., Mahmoud, M.A., Woodall, W.H.: ASQ: on the monitoring of linear profiles. J. Qual. Technol. 35(3), 317–328 (2003)CrossRef Kim, K., Mahmoud, M.A., Woodall, W.H.: ASQ: on the monitoring of linear profiles. J. Qual. Technol. 35(3), 317–328 (2003)CrossRef
go back to reference Kutner, M.H., Nachtsheim, C.J., Neter, J., Li, W.: Applied Linear Statistical Models, 5th edn. McGraw-Hill, Boston (1996) Kutner, M.H., Nachtsheim, C.J., Neter, J., Li, W.: Applied Linear Statistical Models, 5th edn. McGraw-Hill, Boston (1996)
go back to reference Mahmoud, M.A., Woodall, W.H.: Phase I analysis of linear profiles with calibration applications. Technometrics 46(4), 380–391 (2004)CrossRef Mahmoud, M.A., Woodall, W.H.: Phase I analysis of linear profiles with calibration applications. Technometrics 46(4), 380–391 (2004)CrossRef
go back to reference Maleki, M.R., Amiri, A., Castagliola, P.: An overview on recent profile monitoring papers (2008–2018) based on conceptual classification scheme. Comput. Ind. Eng. 126, 705–728 (2018)CrossRef Maleki, M.R., Amiri, A., Castagliola, P.: An overview on recent profile monitoring papers (2008–2018) based on conceptual classification scheme. Comput. Ind. Eng. 126, 705–728 (2018)CrossRef
go back to reference Natrella, M.: NIST/SEMATECH e-Handbook of Statistical Methods (2010). Natrella, M.: NIST/SEMATECH e-Handbook of Statistical Methods (2010).
go back to reference NematiKeshteli, R., BaradaranKazemzadeh, R., Amiri, A., Noorossana, R.: Developing functional process capability indices for simple linear profile. Sci. Iran. 21(3), 1044–1050 (2014a) NematiKeshteli, R., BaradaranKazemzadeh, R., Amiri, A., Noorossana, R.: Developing functional process capability indices for simple linear profile. Sci. Iran. 21(3), 1044–1050 (2014a)
go back to reference NematiKeshteli, R., BaradaranKazemzadeh, R., Amiri, A., Noorossana, R.: Functional process capability indices for circular profile. Qual. Reliab. Eng. Int. 30(5), 633–644 (2014b)CrossRef NematiKeshteli, R., BaradaranKazemzadeh, R., Amiri, A., Noorossana, R.: Functional process capability indices for circular profile. Qual. Reliab. Eng. Int. 30(5), 633–644 (2014b)CrossRef
go back to reference Noorossana, R., Saghaei, A., Amiri, A.: Statistical Analysis of Profile Monitoring. Wiley, Hoboken (2011)CrossRef Noorossana, R., Saghaei, A., Amiri, A.: Statistical Analysis of Profile Monitoring. Wiley, Hoboken (2011)CrossRef
go back to reference Pakzad, A., Razavi, H., Sadeghpour Gildeh, B.: Developing loss-based functional process capability indices for simple linear profile. J. Stat. Comput. Simul. 92(1), 115–144 (2021)CrossRef Pakzad, A., Razavi, H., Sadeghpour Gildeh, B.: Developing loss-based functional process capability indices for simple linear profile. J. Stat. Comput. Simul. 92(1), 115–144 (2021)CrossRef
go back to reference Pakzad, A., Razavi, H., SadeghpourGildeh, B.: Functional process capability indices for a simple linear profile in fuzzy environment. J. Ind. Syst. Eng. 13(4), 1–22 (2021) Pakzad, A., Razavi, H., SadeghpourGildeh, B.: Functional process capability indices for a simple linear profile in fuzzy environment. J. Ind. Syst. Eng. 13(4), 1–22 (2021)
go back to reference Pearn, W.L., Kotz, S.: Encyclopedia and Handbook of Process Capability Indices. A Comprehensive Exposition of Quality Control Measures. World Scientific Publishing, Co., Pte. Ltd, Singapore (2006)CrossRef Pearn, W.L., Kotz, S.: Encyclopedia and Handbook of Process Capability Indices. A Comprehensive Exposition of Quality Control Measures. World Scientific Publishing, Co., Pte. Ltd, Singapore (2006)CrossRef
go back to reference Pearn, W.L., Kotz, S., Johnson, N.L.: Distributional and inferential properties of process capability indices. J. Qual. Technol. 24(4), 216–231 (1992)CrossRef Pearn, W.L., Kotz, S., Johnson, N.L.: Distributional and inferential properties of process capability indices. J. Qual. Technol. 24(4), 216–231 (1992)CrossRef
go back to reference Pour Larimi, A.M., NematiKeshteli, R., Safaei, A.S.: Functional process capability indices for nonlinear profile. J. Ind. Syst. Eng. 12, 1–14 (2019) Pour Larimi, A.M., NematiKeshteli, R., Safaei, A.S.: Functional process capability indices for nonlinear profile. J. Ind. Syst. Eng. 12, 1–14 (2019)
go back to reference RezayeAbbasiCharkhi, M., Aminnayeri, M., Amiri, A.: Process capability index for logistic regression profile based on SPMK index. Int. J. Eng. 28(8), 1186–1192 (2015) RezayeAbbasiCharkhi, M., Aminnayeri, M., Amiri, A.: Process capability index for logistic regression profile based on SPMK index. Int. J. Eng. 28(8), 1186–1192 (2015)
go back to reference RezayeAbbasiCharkhi, M., Aminnayeri, M., Amiri, A.: Process capability indices for logistic regression profile. Qual. Reliab. Eng. Int. 32(5), 1655–1661 (2016)CrossRef RezayeAbbasiCharkhi, M., Aminnayeri, M., Amiri, A.: Process capability indices for logistic regression profile. Qual. Reliab. Eng. Int. 32(5), 1655–1661 (2016)CrossRef
go back to reference Shi, L., Chen, W., Lu, L.F.: An approach for simple linear profile gauge R&R studies. Discrete Dyn. Nat. Soc. 2014, 1–7 (2014) Shi, L., Chen, W., Lu, L.F.: An approach for simple linear profile gauge R&R studies. Discrete Dyn. Nat. Soc. 2014, 1–7 (2014)
go back to reference Shi, L., Chen, W., He, Z.: Measurement system capability analysis for simple linear profiles. In: Qi, E. (eds.) Proceedings of the 6th International Asia Conference on Industrial Engineering and Management Innovation. Atlantis Press, Paris (2016) Shi, L., Chen, W., He, Z.: Measurement system capability analysis for simple linear profiles. In: Qi, E. (eds.) Proceedings of the 6th International Asia Conference on Industrial Engineering and Management Innovation. Atlantis Press, Paris (2016)
go back to reference Wang, F.K.: A process yield for simple linear profiles. Qual. Eng. 26(3), 311–318 (2014)CrossRef Wang, F.K.: A process yield for simple linear profiles. Qual. Eng. 26(3), 311–318 (2014)CrossRef
go back to reference Wang, F.K.: Measuring the process yield for circular profiles. Qual. Reliab. Eng. Int. 31(4), 579–588 (2015)CrossRef Wang, F.K.: Measuring the process yield for circular profiles. Qual. Reliab. Eng. Int. 31(4), 579–588 (2015)CrossRef
go back to reference Wang, F.K., Tamirat, Y.: Process yield analysis for autocorrelation between linear profiles. Comput. Ind. Eng. 71(1), 50–56 (2014)CrossRef Wang, F.K., Tamirat, Y.: Process yield analysis for autocorrelation between linear profiles. Comput. Ind. Eng. 71(1), 50–56 (2014)CrossRef
go back to reference Woodall, W.H.: Current research on profile monitoring. Production 17(3), 420–425 (2007)CrossRef Woodall, W.H.: Current research on profile monitoring. Production 17(3), 420–425 (2007)CrossRef
go back to reference Wu, X.: An assessment approach for process capability in simple linear profil. In: Qi E., Shen J., Dou R. (eds.) Proceedings of the 22nd International Conference on Industrial Engineering and Engineering Management 2015. Atlantis Press, Paris (2016) Wu, X.: An assessment approach for process capability in simple linear profil. In: Qi E., Shen J., Dou R. (eds.) Proceedings of the 22nd International Conference on Industrial Engineering and Engineering Management 2015. Atlantis Press, Paris (2016)
Metadata
Title
Process capability analysis for simple linear profiles
Authors
Aylin Pakzad
Saeed Adibfar
Hamideh Razavi
Rassoul Noorossana
Publication date
19-09-2023
Publisher
Springer Netherlands
Published in
Quality & Quantity / Issue 3/2024
Print ISSN: 0033-5177
Electronic ISSN: 1573-7845
DOI
https://doi.org/10.1007/s11135-023-01726-4

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