Statistical Performance Analysis of a VP X Control Chart with B&L Switching Rule by Using a Markov Chain Model
In statistical process control, variable parameter (VP)X chart is widely used. To improve the performance of the VP X chart, Bai & Lee (B&L) switching rules are applied to design the VP X chart. By this method, a Markov chain model is developed to obtain the expressions of Average Time to Si...
Gespeichert in:
| Veröffentlicht in: | Gong ye gong cheng (Guangzhou, China) China), 2012-06, Vol.15 (3), p.87-91 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | chi |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 91 |
|---|---|
| container_issue | 3 |
| container_start_page | 87 |
| container_title | Gong ye gong cheng (Guangzhou, China) |
| container_volume | 15 |
| creator | Guo, Zhi-Fang Cheng, Long-Sheng |
| description | In statistical process control, variable parameter (VP)X chart is widely used. To improve the performance of the VP X chart, Bai & Lee (B&L) switching rules are applied to design the VP X chart. By this method, a Markov chain model is developed to obtain the expressions of Average Time to Signal (ATS), Adjusted Average Time to Signal (AATS), and average number of switches (ANSW). To evaluate the performance of the proposed method, comparison is done between the chart designed by the proposed method and the existing VP X chart by using two samples. Results show that, with the same average run-time, the proposed method outperforms the existing VP X chart in both shortening the alarm time and in reducing the number of switch times. The larger the parameter L is, the better the performance of the proposed method is. |
| doi_str_mv | 10.3969/j.issn.1007-7375.2012.03.017 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_miscellaneous_1136530215</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1136530215</sourcerecordid><originalsourceid>FETCH-proquest_miscellaneous_11365302153</originalsourceid><addsrcrecordid>eNqVisFKAzEURbNQaNH-w1uIuGlMJqSxSx0UFxaKVemuvI4Z57VponkZpX-vBXHv6txzOUKcaSXNdDK93EhijlIr5cbOOCsrpSupjFTaHYnh3z8QI2ZaK6uN01fODkVcFCzEhRoMMPe5TXmHsfFwHTHsmRhSCwgvc1hCnWLJKUDdYS7wRaWDm_MHWPyspqP4Bo998LDewzMfDGGGeZs-Dz1FmKVXH07FcYuB_eiXJ-Li7vapvh-_5_TRey6rHXHjQ8DoU88rrc3EGlVpa_6RfgMArVST</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1136530215</pqid></control><display><type>article</type><title>Statistical Performance Analysis of a VP X Control Chart with B&L Switching Rule by Using a Markov Chain Model</title><source>国家哲学社会科学学术期刊数据库 (National Social Sciences Database)</source><creator>Guo, Zhi-Fang ; Cheng, Long-Sheng</creator><creatorcontrib>Guo, Zhi-Fang ; Cheng, Long-Sheng</creatorcontrib><description>In statistical process control, variable parameter (VP)X chart is widely used. To improve the performance of the VP X chart, Bai & Lee (B&L) switching rules are applied to design the VP X chart. By this method, a Markov chain model is developed to obtain the expressions of Average Time to Signal (ATS), Adjusted Average Time to Signal (AATS), and average number of switches (ANSW). To evaluate the performance of the proposed method, comparison is done between the chart designed by the proposed method and the existing VP X chart by using two samples. Results show that, with the same average run-time, the proposed method outperforms the existing VP X chart in both shortening the alarm time and in reducing the number of switch times. The larger the parameter L is, the better the performance of the proposed method is.</description><identifier>ISSN: 1007-7375</identifier><identifier>DOI: 10.3969/j.issn.1007-7375.2012.03.017</identifier><language>chi</language><subject>ATS ; Design engineering ; Markov chains ; Mathematical models ; Samples ; Statistical process control ; Switches ; Switching</subject><ispartof>Gong ye gong cheng (Guangzhou, China), 2012-06, Vol.15 (3), p.87-91</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27903,27904</link.rule.ids></links><search><creatorcontrib>Guo, Zhi-Fang</creatorcontrib><creatorcontrib>Cheng, Long-Sheng</creatorcontrib><title>Statistical Performance Analysis of a VP X Control Chart with B&L Switching Rule by Using a Markov Chain Model</title><title>Gong ye gong cheng (Guangzhou, China)</title><description>In statistical process control, variable parameter (VP)X chart is widely used. To improve the performance of the VP X chart, Bai & Lee (B&L) switching rules are applied to design the VP X chart. By this method, a Markov chain model is developed to obtain the expressions of Average Time to Signal (ATS), Adjusted Average Time to Signal (AATS), and average number of switches (ANSW). To evaluate the performance of the proposed method, comparison is done between the chart designed by the proposed method and the existing VP X chart by using two samples. Results show that, with the same average run-time, the proposed method outperforms the existing VP X chart in both shortening the alarm time and in reducing the number of switch times. The larger the parameter L is, the better the performance of the proposed method is.</description><subject>ATS</subject><subject>Design engineering</subject><subject>Markov chains</subject><subject>Mathematical models</subject><subject>Samples</subject><subject>Statistical process control</subject><subject>Switches</subject><subject>Switching</subject><issn>1007-7375</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNqVisFKAzEURbNQaNH-w1uIuGlMJqSxSx0UFxaKVemuvI4Z57VponkZpX-vBXHv6txzOUKcaSXNdDK93EhijlIr5cbOOCsrpSupjFTaHYnh3z8QI2ZaK6uN01fODkVcFCzEhRoMMPe5TXmHsfFwHTHsmRhSCwgvc1hCnWLJKUDdYS7wRaWDm_MHWPyspqP4Bo998LDewzMfDGGGeZs-Dz1FmKVXH07FcYuB_eiXJ-Li7vapvh-_5_TRey6rHXHjQ8DoU88rrc3EGlVpa_6RfgMArVST</recordid><startdate>20120601</startdate><enddate>20120601</enddate><creator>Guo, Zhi-Fang</creator><creator>Cheng, Long-Sheng</creator><scope>7TA</scope><scope>8FD</scope><scope>FR3</scope><scope>JG9</scope><scope>KR7</scope></search><sort><creationdate>20120601</creationdate><title>Statistical Performance Analysis of a VP X Control Chart with B&L Switching Rule by Using a Markov Chain Model</title><author>Guo, Zhi-Fang ; Cheng, Long-Sheng</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_miscellaneous_11365302153</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>chi</language><creationdate>2012</creationdate><topic>ATS</topic><topic>Design engineering</topic><topic>Markov chains</topic><topic>Mathematical models</topic><topic>Samples</topic><topic>Statistical process control</topic><topic>Switches</topic><topic>Switching</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Guo, Zhi-Fang</creatorcontrib><creatorcontrib>Cheng, Long-Sheng</creatorcontrib><collection>Materials Business File</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Gong ye gong cheng (Guangzhou, China)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Guo, Zhi-Fang</au><au>Cheng, Long-Sheng</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Statistical Performance Analysis of a VP X Control Chart with B&L Switching Rule by Using a Markov Chain Model</atitle><jtitle>Gong ye gong cheng (Guangzhou, China)</jtitle><date>2012-06-01</date><risdate>2012</risdate><volume>15</volume><issue>3</issue><spage>87</spage><epage>91</epage><pages>87-91</pages><issn>1007-7375</issn><abstract>In statistical process control, variable parameter (VP)X chart is widely used. To improve the performance of the VP X chart, Bai & Lee (B&L) switching rules are applied to design the VP X chart. By this method, a Markov chain model is developed to obtain the expressions of Average Time to Signal (ATS), Adjusted Average Time to Signal (AATS), and average number of switches (ANSW). To evaluate the performance of the proposed method, comparison is done between the chart designed by the proposed method and the existing VP X chart by using two samples. Results show that, with the same average run-time, the proposed method outperforms the existing VP X chart in both shortening the alarm time and in reducing the number of switch times. The larger the parameter L is, the better the performance of the proposed method is.</abstract><doi>10.3969/j.issn.1007-7375.2012.03.017</doi></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1007-7375 |
| ispartof | Gong ye gong cheng (Guangzhou, China), 2012-06, Vol.15 (3), p.87-91 |
| issn | 1007-7375 |
| language | chi |
| recordid | cdi_proquest_miscellaneous_1136530215 |
| source | 国家哲学社会科学学术期刊数据库 (National Social Sciences Database) |
| subjects | ATS Design engineering Markov chains Mathematical models Samples Statistical process control Switches Switching |
| title | Statistical Performance Analysis of a VP X Control Chart with B&L Switching Rule by Using a Markov Chain Model |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-28T08%3A53%3A35IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Statistical%20Performance%20Analysis%20of%20a%20VP%20X%20Control%20Chart%20with%20B&L%20Switching%20Rule%20by%20Using%20a%20Markov%20Chain%20Model&rft.jtitle=Gong%20ye%20gong%20cheng%20(Guangzhou,%20China)&rft.au=Guo,%20Zhi-Fang&rft.date=2012-06-01&rft.volume=15&rft.issue=3&rft.spage=87&rft.epage=91&rft.pages=87-91&rft.issn=1007-7375&rft_id=info:doi/10.3969/j.issn.1007-7375.2012.03.017&rft_dat=%3Cproquest%3E1136530215%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1136530215&rft_id=info:pmid/&rfr_iscdi=true |