IDEAS home Printed from https://ideas.repec.org/a/wut/journl/v1y2017p43-55id1291.html
   My bibliography  Save this article

A mixed control chart adapted to the truncated life test based on the Weibull distribution

Author

Listed:
  • Nasrullah Khan
  • Muhammad Aslam
  • Kyung-Jun Kim
  • Chi-Hyuck Jun

Abstract

The design of a new mixed attribute control chart adapted to a truncated life test has been presented. It was assumed that the lifetime of a product follows the Weibull distribution and the number of failures was observed using a truncated life test, where the test duration was specified as a fraction of the mean lifespan. The proposed control chart consists of two pairs of control limits based on a binomial distribution and one lower bound. The average run length of the chart was determined for various levels of shift constants and specified parameters. The efficiency of the chart is compared with an existing control chart in terms of the average run length. The application of the proposed chart is discussed with the aid of a simulation study.

Suggested Citation

  • Nasrullah Khan & Muhammad Aslam & Kyung-Jun Kim & Chi-Hyuck Jun, 2017. "A mixed control chart adapted to the truncated life test based on the Weibull distribution," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 27(1), pages 43-55.
    • Handle: RePEc:wut:journl:v:1:y:2017:p:43-55:id:1291
    DOI: 10.5277/ord170103
    as

    Download full text from publisher

    File URL: https://ord.pwr.edu.pl/assets/papers_archive/1291%20-%20published.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.5277/ord170103?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Wang, Hsiuying, 2009. "Comparison of p control charts for low defective rate," Computational Statistics & Data Analysis, Elsevier, vol. 53(12), pages 4210-4220, October.
    2. Muhammad Aslam & Muhammad Azam & Nasrullah Khan & Chi-Hyuck Jun, 2015. "A mixed control chart to monitor the process," International Journal of Production Research, Taylor & Francis Journals, vol. 53(15), pages 4684-4693, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. S. Balamurali & P. Jeyadurga, 2019. "Economic design of an attribute control chart for monitoring mean life based on multiple deferred state sampling," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 35(3), pages 893-907, May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Simões, Felipe Domingues & Costa, Antonio Fernando Branco & Machado, Marcela Aparecida Guerreiro, 2020. "The Trinomial ATTRIVAR control chart," International Journal of Production Economics, Elsevier, vol. 224(C).
    2. Bersimis, Sotiris & Koutras, Markos V. & Maravelakis, Petros E., 2014. "A compound control chart for monitoring and controlling high quality processes," European Journal of Operational Research, Elsevier, vol. 233(3), pages 595-603.
    3. Emura, Takeshi & Lin, Yi-Shuan, 2013. "A comparison of normal approximation rules for attribute control charts," MPRA Paper 51029, University Library of Munich, Germany.
    4. Emura, Takeshi & Lai, Ching-Chieh & Sun, Li-Hsien, 2023. "Change point estimation under a copula-based Markov chain model for binomial time series," Econometrics and Statistics, Elsevier, vol. 28(C), pages 120-137.
    5. Ho, Linda Lee & Aparisi, Francisco, 2016. "ATTRIVAR: Optimized control charts to monitor process mean with lower operational cost," International Journal of Production Economics, Elsevier, vol. 182(C), pages 472-483.
    6. Jose Jorge Muñoz & Manuel J. Campuzano & Jaime Mosquera, 2022. "Optimized np Attribute Control Chart Using Triple Sampling," Mathematics, MDPI, vol. 10(20), pages 1-21, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wut:journl:v:1:y:2017:p:43-55:id:1291. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Adam Kasperski (email available below). General contact details of provider: https://edirc.repec.org/data/iopwrpl.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.