New CUSUM and Shewhart‐CUSUM charts for monitoring the process mean

The CUmulative SUM (CUSUM) charts have sensitive nature against small and moderate shifts that occur in the process parameter(s). In this article, we propose the CUSUM and combined Shewhart‐CUSUM charts for monitoring the process mean using the best linear unbiased estimator of the location paramete...

Full description

Saved in:
Bibliographic Details
Published in:Quality and reliability engineering international 2021-12, Vol.37 (8), p.3512-3528
Main Authors: Haq, Abdul, Munir, Waqas
Format: Article
Language:English
Subjects:
average run‐length
control charts
cumulative sum
CUSUM charts
double ranked set sampling
Monitoring
Process parameters
Random sampling
statistical process control
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c2930-ac3cd6254d98aab9ae5a0cb9578831ee1eb1dbac79aa966a7a9e0f1a11e55e8f3
cites cdi_FETCH-LOGICAL-c2930-ac3cd6254d98aab9ae5a0cb9578831ee1eb1dbac79aa966a7a9e0f1a11e55e8f3
container_end_page 3528
container_issue 8
container_start_page 3512
container_title Quality and reliability engineering international
container_volume 37
creator Haq, Abdul
Munir, Waqas
description The CUmulative SUM (CUSUM) charts have sensitive nature against small and moderate shifts that occur in the process parameter(s). In this article, we propose the CUSUM and combined Shewhart‐CUSUM charts for monitoring the process mean using the best linear unbiased estimator of the location parameter based on ordered double‐ranked set sampling (RSS) scheme, where the CUSUM chart refers to the Crosier's CUSUM chart. The run‐length characteristics of the proposed CUSUM charts are computed with the Monte Carlo simulations. The run‐length profiles of the proposed CUSUM charts are compared with those of the CUSUM charts based on simple random sampling, RSS, and ordered RSS schemes. It is found that the proposed CUSUM charts uniformly outperform their existing counterparts when detecting all different kinds of shifts in the process mean. A real data set is also considered to explain the implementation of the proposed CUSUM charts.
doi_str_mv 10.1002/qre.2930
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2596288256</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2596288256</sourcerecordid><originalsourceid>FETCH-LOGICAL-c2930-ac3cd6254d98aab9ae5a0cb9578831ee1eb1dbac79aa966a7a9e0f1a11e55e8f3</originalsourceid><addsrcrecordid>eNp10M1Kw0AQB_BFFIxV8BEWvHhJ3U26ye5RSv2AqmjteZlsJjalyba7KaE3H8Fn9ElMjFdPwww_ZoY_IZecjTlj0c3O4ThSMTsiAWdKhTyJ5TEJWDqRoWQ8PSVn3q8Z67CSAZk9Y0uny8XyiUKd08UK2xW45vvzaxiavvO0sI5Wti4b68r6gzYrpFtnDXpPK4T6nJwUsPF48VdHZHk3e58-hPOX-8fp7Tw0_UshmNjkSSQmuZIAmQIUwEymRCplzBE5ZjzPwKQKQCUJpKCQFRw4RyFQFvGIXA17u-O7PfpGr-3e1d1JHQmVRFJGIunU9aCMs947LPTWlRW4g-ZM9yHpLiTdf9TRcKBtucHDv06_vs1-_Q__qGiy</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2596288256</pqid></control><display><type>article</type><title>New CUSUM and Shewhart‐CUSUM charts for monitoring the process mean</title><source>Wiley-Blackwell Read &amp; Publish Collection</source><creator>Haq, Abdul ; Munir, Waqas</creator><creatorcontrib>Haq, Abdul ; Munir, Waqas</creatorcontrib><description>The CUmulative SUM (CUSUM) charts have sensitive nature against small and moderate shifts that occur in the process parameter(s). In this article, we propose the CUSUM and combined Shewhart‐CUSUM charts for monitoring the process mean using the best linear unbiased estimator of the location parameter based on ordered double‐ranked set sampling (RSS) scheme, where the CUSUM chart refers to the Crosier's CUSUM chart. The run‐length characteristics of the proposed CUSUM charts are computed with the Monte Carlo simulations. The run‐length profiles of the proposed CUSUM charts are compared with those of the CUSUM charts based on simple random sampling, RSS, and ordered RSS schemes. It is found that the proposed CUSUM charts uniformly outperform their existing counterparts when detecting all different kinds of shifts in the process mean. A real data set is also considered to explain the implementation of the proposed CUSUM charts.</description><identifier>ISSN: 0748-8017</identifier><identifier>EISSN: 1099-1638</identifier><identifier>DOI: 10.1002/qre.2930</identifier><language>eng</language><publisher>Bognor Regis: Wiley Subscription Services, Inc</publisher><subject>average run‐length ; control charts ; cumulative sum ; CUSUM charts ; double ranked set sampling ; Monitoring ; Process parameters ; Random sampling ; statistical process control</subject><ispartof>Quality and reliability engineering international, 2021-12, Vol.37 (8), p.3512-3528</ispartof><rights>2021 John Wiley &amp; Sons Ltd.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2930-ac3cd6254d98aab9ae5a0cb9578831ee1eb1dbac79aa966a7a9e0f1a11e55e8f3</citedby><cites>FETCH-LOGICAL-c2930-ac3cd6254d98aab9ae5a0cb9578831ee1eb1dbac79aa966a7a9e0f1a11e55e8f3</cites><orcidid>0000-0002-4467-9719</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Haq, Abdul</creatorcontrib><creatorcontrib>Munir, Waqas</creatorcontrib><title>New CUSUM and Shewhart‐CUSUM charts for monitoring the process mean</title><title>Quality and reliability engineering international</title><description>The CUmulative SUM (CUSUM) charts have sensitive nature against small and moderate shifts that occur in the process parameter(s). In this article, we propose the CUSUM and combined Shewhart‐CUSUM charts for monitoring the process mean using the best linear unbiased estimator of the location parameter based on ordered double‐ranked set sampling (RSS) scheme, where the CUSUM chart refers to the Crosier's CUSUM chart. The run‐length characteristics of the proposed CUSUM charts are computed with the Monte Carlo simulations. The run‐length profiles of the proposed CUSUM charts are compared with those of the CUSUM charts based on simple random sampling, RSS, and ordered RSS schemes. It is found that the proposed CUSUM charts uniformly outperform their existing counterparts when detecting all different kinds of shifts in the process mean. A real data set is also considered to explain the implementation of the proposed CUSUM charts.</description><subject>average run‐length</subject><subject>control charts</subject><subject>cumulative sum</subject><subject>CUSUM charts</subject><subject>double ranked set sampling</subject><subject>Monitoring</subject><subject>Process parameters</subject><subject>Random sampling</subject><subject>statistical process control</subject><issn>0748-8017</issn><issn>1099-1638</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp10M1Kw0AQB_BFFIxV8BEWvHhJ3U26ye5RSv2AqmjteZlsJjalyba7KaE3H8Fn9ElMjFdPwww_ZoY_IZecjTlj0c3O4ThSMTsiAWdKhTyJ5TEJWDqRoWQ8PSVn3q8Z67CSAZk9Y0uny8XyiUKd08UK2xW45vvzaxiavvO0sI5Wti4b68r6gzYrpFtnDXpPK4T6nJwUsPF48VdHZHk3e58-hPOX-8fp7Tw0_UshmNjkSSQmuZIAmQIUwEymRCplzBE5ZjzPwKQKQCUJpKCQFRw4RyFQFvGIXA17u-O7PfpGr-3e1d1JHQmVRFJGIunU9aCMs947LPTWlRW4g-ZM9yHpLiTdf9TRcKBtucHDv06_vs1-_Q__qGiy</recordid><startdate>202112</startdate><enddate>202112</enddate><creator>Haq, Abdul</creator><creator>Munir, Waqas</creator><general>Wiley Subscription Services, Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><orcidid>https://orcid.org/0000-0002-4467-9719</orcidid></search><sort><creationdate>202112</creationdate><title>New CUSUM and Shewhart‐CUSUM charts for monitoring the process mean</title><author>Haq, Abdul ; Munir, Waqas</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2930-ac3cd6254d98aab9ae5a0cb9578831ee1eb1dbac79aa966a7a9e0f1a11e55e8f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>average run‐length</topic><topic>control charts</topic><topic>cumulative sum</topic><topic>CUSUM charts</topic><topic>double ranked set sampling</topic><topic>Monitoring</topic><topic>Process parameters</topic><topic>Random sampling</topic><topic>statistical process control</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Haq, Abdul</creatorcontrib><creatorcontrib>Munir, Waqas</creatorcontrib><collection>CrossRef</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><jtitle>Quality and reliability engineering international</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Haq, Abdul</au><au>Munir, Waqas</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>New CUSUM and Shewhart‐CUSUM charts for monitoring the process mean</atitle><jtitle>Quality and reliability engineering international</jtitle><date>2021-12</date><risdate>2021</risdate><volume>37</volume><issue>8</issue><spage>3512</spage><epage>3528</epage><pages>3512-3528</pages><issn>0748-8017</issn><eissn>1099-1638</eissn><abstract>The CUmulative SUM (CUSUM) charts have sensitive nature against small and moderate shifts that occur in the process parameter(s). In this article, we propose the CUSUM and combined Shewhart‐CUSUM charts for monitoring the process mean using the best linear unbiased estimator of the location parameter based on ordered double‐ranked set sampling (RSS) scheme, where the CUSUM chart refers to the Crosier's CUSUM chart. The run‐length characteristics of the proposed CUSUM charts are computed with the Monte Carlo simulations. The run‐length profiles of the proposed CUSUM charts are compared with those of the CUSUM charts based on simple random sampling, RSS, and ordered RSS schemes. It is found that the proposed CUSUM charts uniformly outperform their existing counterparts when detecting all different kinds of shifts in the process mean. A real data set is also considered to explain the implementation of the proposed CUSUM charts.</abstract><cop>Bognor Regis</cop><pub>Wiley Subscription Services, Inc</pub><doi>10.1002/qre.2930</doi><tpages>17</tpages><orcidid>https://orcid.org/0000-0002-4467-9719</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 0748-8017
ispartof Quality and reliability engineering international, 2021-12, Vol.37 (8), p.3512-3528
issn 0748-8017
1099-1638
language eng
recordid cdi_proquest_journals_2596288256
source Wiley-Blackwell Read & Publish Collection
subjects average run‐length
control charts
cumulative sum
CUSUM charts
double ranked set sampling
Monitoring
Process parameters
Random sampling
statistical process control
title New CUSUM and Shewhart‐CUSUM charts for monitoring the process mean
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-08T06%3A42%3A34IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=New%20CUSUM%20and%20Shewhart%E2%80%90CUSUM%20charts%20for%20monitoring%20the%20process%20mean&rft.jtitle=Quality%20and%20reliability%20engineering%20international&rft.au=Haq,%20Abdul&rft.date=2021-12&rft.volume=37&rft.issue=8&rft.spage=3512&rft.epage=3528&rft.pages=3512-3528&rft.issn=0748-8017&rft.eissn=1099-1638&rft_id=info:doi/10.1002/qre.2930&rft_dat=%3Cproquest_cross%3E2596288256%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c2930-ac3cd6254d98aab9ae5a0cb9578831ee1eb1dbac79aa966a7a9e0f1a11e55e8f3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2596288256&rft_id=info:pmid/&rfr_iscdi=true