An integrated model for economic design of chi-square control chart and maintenance planning

Considered process in this article is a two-stage dependent process. Each item in this process has two quality characteristics as x and y while x and y are related to the stage 1 and 2, respectively. Each stage has two operational states as the in-control state and out-of-control state and transitio...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2018-06, Vol.47 (12), p.2892-2907
Main Authors: Rasay, Hasan, Fallahnezhad, Mohammad Saber, Zare Mehrjerdi, Yahia
Format: Article
Language:English
Subjects:
Chi-square test
Control charts
Distribution functions
Economic models
Maintenance
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Summary:Considered process in this article is a two-stage dependent process. Each item in this process has two quality characteristics as x and y while x and y are related to the stage 1 and 2, respectively. Each stage has two operational states as the in-control state and out-of-control state and transition time from the in-control state to the out-of-control state follows a general continues distribution function. The process is monitored using a chi-square control chart. An integrated model that coordinates the decisions related to the economic design of the used control chart and maintenance planning is presented. For the evaluation of the integrated model performance, a stand-alone maintenance model is also presented, and the performance of these two models is compared with each other.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2017.1343848