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Step Change Point Estimation in g and h Control Charts in Healthcare | ||
| Advances in Industrial Engineering | ||
| مقاله 2، دوره 52، شماره 1، تیر 2018، صفحه 1-12 اصل مقاله (1.21 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jieng.2018.134403.1008 | ||
| نویسندگان | ||
| Amir Hossein Amiri* ؛ Fatemeh Sogandi؛ Azadeh Rafiei Tabatabaei | ||
| Department of Industrial Engineering, Shahed University, Tehran, Iran | ||
| چکیده | ||
| Estimating the real time of a change point in process is one of the main purposes in the statistical process control. On the other hand, it is important to estimate the change point in healthcare processes regarding the relation between quality engineering and hospital epidemiology. Hence, in this paper, maximum likelihood estimators are proposed in g and h control charts for healthcare systems. We applied Monte Carlo simulation to assess the proposed approaches in terms of accuracy and precision. In addition, there are provided the corresponding cardinality sets and coverage probabilities based on logarithm of the likelihood function. Results indicate that the proposed estimators have a satisfactory performance under different shifts. | ||
| کلیدواژه‌ها | ||
| Healthcare؛ g and h Control Charts؛ Maximum Likelihood Estimator؛ Statistical Process Control؛ Step Change Point Estimation | ||
| عنوان مقاله [English] | ||
| تخمین نقطۀ تغییر پله‌ای در نمودارهای کنترل g و h در حوزۀ بهداشت و درمان | ||
| نویسندگان [English] | ||
| امیرحسین امیری؛ فاطمه سوگندی؛ آزاده رفیعی طباطبایی | ||
| دانشیار گروه مهندسی صنایع، دانشکدة فنی مهندسی، دانشگاه شاهد، تهران | ||
| چکیده [English] | ||
| یکی از اهداف اصلی کنترل فرایند آماری کشف زمان دقیق وقوع تغییر در فرایندها، تحت عنوان نقطة تغییر است. با توجه به رابطة مهندسی کیفیت و اپیدمیولوژی بیمارستانی، تخمین نقطة تغییر در فرایندهای بهداشت و درمان اهمیت بسزایی دارد؛ از این‌رو در این پژوهش، ضمن ارائة نمودارهای کنترل g و h برای مراقبت‌های درمانی، به تخمین نقطة تغییر پله‌ای با استفاده از برآورد حداکثر درست‌نمایی پرداخته شده است. به‌منظور ارزیابی عملکرد روش‌های پیشنهادی از شبیه‌سازی مونت‌کارلو براساس معیارهای صحت و دقت استفاده شده، همچنین تعداد اعضای مجموعة اطمینان و احتمال پوشش آن‌ها، براساس لگاریتم تابع درست‌نمایی ارائه شده است. نتایج شبیه‌سازی حاکی از آن است که تخمین‌زننده‌های پیشنهادی تحت شیفت پله‌ای، عملکردی رضایت‌بخش تحت انواع شیفت‌ها دارند. | ||
| کلیدواژه‌ها [English] | ||
| برآوردکنندة حداکثر درست‌نمایی, بهداشت و درمان, کنترل فرایند آماری, تخمین نقطة تغییر پله‌ای, نمودارهای کنترل g و h | ||
| مراجع | ||
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