Xbar與R管制圖的聯合經濟統計設計應用在自相關資料上

柯佳甫

doi:10.6840/cycu200700506

3.238.24.209，Hello！

Close
Search Quick Search Advanced Search Publication Search	Personal Service Member Login Searching History Use Bonus Card SYMSKAN
Browse Browse by University of Graduate Thesis Browse by Pinyin of Graduate Thesis Browse by Conference Proceedings Topic Browse by Conference Proceedings Publisher Browse by Pinyin of Conference Proceedings Browse by eBook Category Browse by eBook Topic Browse by eBook Publisher
Customer Services Authorize Airiti Recommend a Journal

Search Symbol (Half-width)	Description of Search Symbols
Space	"AND" indicates the intertwining of key terms used in a search
Double Quotation Marks ("") ( " " )	Double quotation marks indicate the beginning and end of a phrase, and the search will only include terms that appear in the same order of those within the quotations. Example: "image process" ： " image process "
?	Indicates a variable letter. Entering two ? will indicate two variable letters, and so on. Example: "Appl?", search results will yield apple, apply… e , appl y … ( (often used to English word searches) )
*	Indicates an unlimited number of variable letters to follow, from 1~n. Example: Enter "appl*", search results will yield apple, apples, apply, applied, application…(often used in English word searches) e , appl es , appl y , appl ied , appl ication … ( (often used to English word searches) )
AND、OR、NOT	Boolean logic combinations of key words is a skill used to expand or refine search parameters. (1) AND (1) AND: Refines search parameters (2) OR (2) OR: Expands search parameters (3) NOT: Excludes irrelevant parameters

DOI stands for Digital Object Identifier （ D igital O bject I dentifier ） ,
and is the unique identifier for objects on the internet. It can be used to create persistent link and to cite articles.

Using DOI as a persistent link

To create a persistent link, add「http://dx.doi.org/」「 http://dx.doi.org/ 」 before a DOI.
For instance, if the DOI of an article is 10.5297/ser.1201.002 , you can link persistently to the article by entering the following link in your browser: http://dx.doi.org/ 10.5297/ser.1201.002 。
The DOI link will always direct you to the most updated article page no matter how the publisher changes the document's position, avoiding errors when engaging in important research.

Cite a document with DOI

When citing references, you should also cite the DOI if the article has one. If your citation guideline does not include DOIs, you may cite the DOI link.

DOIs allow accurate citations, improve academic contents connections, and allow users to gain better experience across different platforms. Currently, there are more than 70 million DOIs registered for academic contents. If you want to understand more about DOI, please visit airiti DOI Registration （ doi.airiti.com ）。

Data Source

College of Engineering > Graduate Institute of Industrial Engineering
Engineering > General Engineering

Bibliography Management Tool

Related Links

Report an Issue

Search for full text in Holdings

There is no full-text available at the moment. Airiti would like to request author's authorization. I would like to provide authorization.

Xbar與R管制圖的聯合經濟統計設計應用在自相關資料上

The Joint Economic Statistical Design of Xbar and R Control Charts for Autocorrelated Data

柯佳甫 , Masters　　Advisor：陳慧芬　　

英文 DOI： 10.6840/cycu200700506

Abstract │ Reference (112) │ Altmetrics

Abstract 〈TOP〉

Parallel Abstract 〈TOP〉

In this thesis, we consider the joint economic–statistical design ‾X and R control
charts which is based on the framework of the Costa and Chen et al. According to
the cost model we assume that the quality characteristic are autocorrelated and the
in–control time follows the Weibull distribution. There are four design parameters
: the sample size n, sampling interval h and the control limit factors k1 and k2 are
determined to design control charts ‾X and R, respectively.
At present, most literatures research either the economic–statistical design in
which the data is satisfying independent assumption or the control chart in which
the data is satisfying autocorrelated. But there are a few literatures in researching of
the combination of these two concepts. Consequently, we investigate these combined
themes in this thesis.
In this thesis, we use the grid search method by Monte Cario simulation to find the
optimal design parameters to minimize the expected cost per hour. We also perform
the sensitivity analysis to study the effects of autocorrelation, the amount of shift
in mean and variance and the Weibull scale parameters. As the result, when the
autocorrelation increases positively and then we would find that the sample size n
and the sampling interval h increase, but control limit factors k1 and k2 decrease. The
expected hourly cost increases by the autocorrelation either positively and nagetively
increase. When the amount shift of mean increases, n, h and k2 decrease and k1 and
the expected hourly cost increase. When the amount shift of variance increases, n, h
and k1 decrease and k2 and the expected hourly cost increase. When  1 increase, n,
h and k1 decrease and k2 and the expected hourly cost increase, but in the shift of the combination ( ,
)=(1,2), k1 decrease and n, h ,k2 and the expected hourly cost
increase.

Reference ( 112 ) 〈TOP〉

LIST OF REFERENCES
連結：
[1] Alwan, L.C. and Roberts, H.V. (1988). Time-Series Modeling for Statistical
連結：
Process control. Journal of Business & Economuc Satisticals 6, 87–95.
連結：
[3] Banerjee, P.K. and Rahim, M.A. (1988). Economic design of ‾X control charts
連結：
under Weibull shock models. Technometrics 30, 407–414.
連結：

Altmetrics

〈TOP〉

E-mail ：

When an article is available to download, a notice will be sent to your mailbox address.

E-mail ：