Abstract




 
   

IJE TRANSACTIONS A: Basics Vol. 31, No. 4 (April 2018) 629-639    Article in Press

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  ECONOMIC-STATISTICAL DESIGN OF NP CONTROL CHART WITH VARIABLE SAMPLE SIZE AND SAMPLING INTERVAL
 
M. S. Fallahnezhad, M. Shojaie-Navokh and Y. Zare-Mehrjerdi
 
( Received: May 15, 2017 – Accepted in Revised Form: October 12, 2017 )
 
 

Abstract    The control charts are graphical tools and proven techniques to improve the performance of a process. Usually, the processes are not naturally controlled, so the use of control charts will help to reduce the variability and increase the stability of the process. In the traditional approach, control charts with fix sample size and constant sampling intervals were used to identify the changes in the process. While, control charts can be examined from different statistical and economical directions using different sampling schemes for achieving a better result. In past studies, it has been shown that np control charts show better results in detecting shifts by using variable sampling schemes but it is also important to consider how the cost of using variable sampling schemes will be, since the cost of a process depends on the parameters of the control chart. In this paper, the economic-statistical design of np control chart with variable sample size and sampling interval (VSSI) is formulated and then we compare and analyze the resulted obtained with other schemes. Results show significant improvement in terms of economic and statistical performance.

 

Keywords    The Np Control Chart; Economic-statistical Design; Markov Chain; Design of Experiments; Variable Sampling Schemes

 

چکیده    نمودار‌های کنترل ابزارهای ترسیمی و فنون اثبات شده‌ای برای بهبود کارایی یک فرآیند می‌باشند. معمولا فرآیندها به طور طبیعی در حالت تحت کنترل نیستند. بنابراین، استفاده از نمودارهای کنترل کمک شایانی به کاهش تغییرپذیری و افزایش ثبات در فرآیند خواهد کرد. در رویکرد سنتی از نمودارهای کنترل با اندازه نمونه و فاصله نمونه‌گیری ثابت برای شناسایی تغییرات در فرآیند استفاده می‌شد. در حالی که نمودارهای کنترل می‌توانند از جهات مختلف آماری و اقتصادی برای دست­یابی به نتیجه بهتر مورد ارزیابی قرار گیرند. در مطالعات قبلی که از طرح‌های نمونه‌گیری متغیر در طراحی نمودار کنترل np استفاده شده عملکرد بهتری در تشخیص انحرافات حاصل شده است ولی این موضوع مهم نیز مطرح است که هزینه استفاده از طرح‌های نمونه‌گیری متغیر به چه صورت خواهد بود، زیرا هزینه‌های یک فرآیند به پارامترهای نمودار کنترلی وابسته می‌باشد. در این مقاله طراحی آماری-اقتصادی نمودار کنترل np با اندازه نمونه و فاصله نمونه‌گیری متغیر (VSSI) صورت گرفته و در ادامه به مقایسه و تحلیل نتایج حاصل شده با طرح‌های دیگر پرداخته شده است. نتایج نشان دهنده‌ی بهبود قابل ملاحظه‌ای در عملکرد اقتصادی و آماری می‌باشند.

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