توسعه یک روش آماری برای نمودار کنترل اندازه‌گیری‌های انفرادی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 استادیار، دانشگاه آزاد اسلامی واحد فیروزکوه.

2 استادیار، دانشگاه شهید بهشتی.

3 استادیار، دانشگاه قم.

4 دکتری، دانشگاه آزاد اسلامی، واحد همدان.

چکیده

وقتی توزیع آماری محصولات تحت مطالعه، نرمال یا متقارن نباشد، موقع استفاده از نمودار کنترل X نمی‌توان انتظار داشت که تغییرپذیری فرایند به‌موقع کشف شود. در پژوهش حاضر برای بهبود عملکرد نمودار از توزیع لامبدای تعمیم‌یافته (GLD) استفاده شده است. برای نشان‌دادن نحوه‌ کار آن از داده‌های مربوط به مقاومت کششی 18 صفحه‌ آلومینیومی استفاده شده و حدود بالا و پایین نمودار کنترل X محاسبه گردیده است. برای اطمینان از جواب‌های به‌دست‌آمده از آزمون مربع کای استفاده شده است؛ و برای اعتبارسنجی معیار متوسط طول اجرا (ARL) به­کار رفته است. به دلیل انعطاف این توزیع، استفاده از روش پیشنهادی می‌تواند این اطمینان را فراهم آورد که بتوان تغییرپذیری‌ فرایند را زودتر کشف نمود.

کلیدواژه‌ها

عنوان مقاله [English]

Developing a Statistical Method for Control Chart of the Individual Measurements

نویسندگان [English]

  • Mohammad Mehdi Movahedi 1
  • Abbas Raad 2
  • Majid Nili Ahmadabadi 3
  • Behzad Ghasemi 4
1 Assistant Professor, Islamic Azad University, Firoozkooh Branch.
2 Assistant Professor, Shahid Beheshti University.
3 Assistant Professor, Qom University.
4 PhD., Islamic Azad University, Hamedan Branch.
چکیده [English]

When the statistical distribution of products under study is not normal or symmetrical, in order to use the X control chart it cannot be expected that the process variability is timely detected. In this study, to improve the performance of X control chart, Generalized Lambda Distribution (GLD) was applied. To illustrate how to implement the proposed method, the data pertaining to tensile straights of eighteen aluminum plates were utilized and upper and lower limits of X control chart were calculated. Chi-Square test and Average Run Length (ARL) method were employed to ensure the obtained results and to accredit the proposed method, respectively. Due to the flexibility of this distribution, applying the proposed method could ensure that the process variability is discovered ahead of time.

کلیدواژه‌ها [English]

  • X Control Chart
  • Generalized Lambda Distribution (GLD)
  • Percentile Matching (PM) Method

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