Skip to main content
Erschienen in: Quality & Quantity 3/2024

19.09.2023

Process capability analysis for simple linear profiles

verfasst von: Aylin Pakzad, Saeed Adibfar, Hamideh Razavi, Rassoul Noorossana

Erschienen in: Quality & Quantity | Ausgabe 3/2024

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

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.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat 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)
Zurück zum Zitat 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
Zurück zum Zitat 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)
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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)
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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)
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat Natrella, M.: NIST/SEMATECH e-Handbook of Statistical Methods (2010). Natrella, M.: NIST/SEMATECH e-Handbook of Statistical Methods (2010).
Zurück zum Zitat 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)
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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)
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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)
Zurück zum Zitat 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)
Zurück zum Zitat 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
Zurück zum Zitat 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)
Zurück zum Zitat 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)
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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
Zurück zum Zitat 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)
Metadaten
Titel
Process capability analysis for simple linear profiles
verfasst von
Aylin Pakzad
Saeed Adibfar
Hamideh Razavi
Rassoul Noorossana
Publikationsdatum
19.09.2023
Verlag
Springer Netherlands
Erschienen in
Quality & Quantity / Ausgabe 3/2024
Print ISSN: 0033-5177
Elektronische ISSN: 1573-7845
DOI
https://doi.org/10.1007/s11135-023-01726-4

Weitere Artikel der Ausgabe 3/2024

Quality & Quantity 3/2024 Zur Ausgabe

Premium Partner