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.

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