Skip to main content

Effects on the Power of the Xbar Chart After Adjustments to Guarantee an In-Control Performance

  • Conference paper
  • First Online:
Operations Management for Social Good (POMS 2018)

Abstract

Process monitoring is an important part of Operations Management (OM). Xbar charts are used to detect changes in the process mean. Recently, researchers proposed control limits adjustments to guarantee the chart’s desired in-control performance when parameters are estimated. We analyze the effect of these adjustments on its out-of-control performance. Recommendations are provided.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Albers, W., Kallenberg, W.C.M., Nurdiati, S.: Exceedance probabilities for parametric control charts. Statistics 39(5), 429–443 (2005)

    Article  Google Scholar 

  2. Chakraborti, S.: Run length, average run length, and false alarm rate of Shewhart X-bar chart: exact derivations by conditioning. Commun. Stat.—Simul. Comput. 29(1), 61–81 (2000)

    Article  Google Scholar 

  3. Goedhart, R., Schoonhoven, M., Does, R.J.M.M.: Guaranteed in-control performance for the X and \(\overline{X}\) control charts. J. Qual. Technol. 49(2), 155–171 (2017)

    Google Scholar 

  4. Goedhart, R., Schoonhoven, M., Does, R.J.M.M.: On guaranteed in-control performance for the Shewhart \(\overline{X}\) and X control charts. J. Qual. Technol. 50(1), 130–132 (2018)

    Google Scholar 

  5. Jardim, F.S., Chakraborti, S., Epprecht, E.K.: Effects of standard deviation estimation on the X-bar control chart and adjustments for a guaranteed in-control performance. In: 2016 Joint Statistical Meeting, Proceedings Paper

    Google Scholar 

  6. Jardim, F.S., Chakraborti, S., Epprecht, E.K.: \(\overline{X}\) chart with estimated parameters: the conditional ARL distribution and new insights. Prod. Oper. Manag. 28(6), 1545–1557 (2019)

    Google Scholar 

  7. Jardim, F.S., Epprecht, E.K., Chakraborti, S.: Effects of process mean estimation on the Xbar control chart and adjustments for a guaranteed in-control performance. In: Simpósio Brasileiro de Pesquisa Operacional (SBPO), Proceedings Paper (2018b)

    Google Scholar 

  8. Mahmoud, M.A., Henderson, G.R., Epprecht, E.K., Woodall, W.H.: Estimating the standard deviation in quality control applications. J. Qual. Technol. 42(4), 348–357 (2010)

    Article  Google Scholar 

  9. Montgomery, D.C.: Introduction to Statistical Quality Control, 7th edn. Wiley, Hoboken, NJ (2009)

    Google Scholar 

  10. Psarakis, S., Vyniou, A.K., Castagliola, P.: Some recent developments on the effects of parameter estimation on control charts. Qual. Reliab. Eng. Int. 30, 641–650 (2014)

    Article  Google Scholar 

  11. Saleh, N.A., Mahmoud, M.A., Keefe, M.J., Woodall, W.H.: The difficult in designing Shewhart Xbar and X control charts with estimated parameters. J. Qual. Technol. 47(2), 127–138 (2015)

    Google Scholar 

  12. Saleh, N.A., Mahmoud, M.A., Jones-Farmer, L.A., Zwestloot, I., Woodall, W.H.: Another look at the EWMA control chart with estimated parameters. J. Qual. Technol. 47(4), 363–382 (2015)

    Google Scholar 

  13. Vardeman, S.B.: A brief tutorial on the estimation of the process standard deviation. IIE Trans. 31(6), 503–507 (1999)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Felipe S. Jardim .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Jardim, F.S., Chakraborti, S., Epprecht, E.K. (2020). Effects on the Power of the Xbar Chart After Adjustments to Guarantee an In-Control Performance. In: Leiras, A., González-Calderón, C., de Brito Junior, I., Villa, S., Yoshizaki, H. (eds) Operations Management for Social Good. POMS 2018. Springer Proceedings in Business and Economics. Springer, Cham. https://doi.org/10.1007/978-3-030-23816-2_73

Download citation

Publish with us

Policies and ethics