IJE TRANSACTIONS B: Applications Vol. 31, No. 11 (November 2018) 1920-1927    Article in Press

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R. Ghandali, M. H. Abooeie and M. S. Fallah Nezhad
( Received: April 07, 2018 – Accepted: October 26, 2018 )

Abstract    Abstract: Maintenance can be the factor of either increasing or decreasing system's availability, so it is valuable work to evaluate a maintenance policy from cost and availability point of view, simultaneously and according to decision maker's priorities. This study proposes a Partially Observable Markov Decision Process (POMDP) framework for a partially observable and stochastically deteriorating system in which inspection and maintenance optimal policies of Condition Based Maintenance (CBM) must be determined to maximize the average profit and availability of the system simultaneously. A recent exact method named Accelerated Vector Pruning method (AVP) and some other popular estimatingand exact methods are applied and compared in solving such problems.


Keywords    Availability maximization, profit maximization, Condition Based Maintenance, Partially Observable Markov Decision Process, stochastically deteriorating, uncertain monitoring, manufacturing systems, Accelerated Vector Pruning


چکیده    هزينه‌هاي نگهداري و تعميرات (نت)، بخش عمده‌اي از هزينه‌هاي توليد را تشکيل مي‌دهد و برنامه‌ريزي براي بهينه‌سازي آن جزو اولويت‌هاي اصلي صنايع مختلف است. از سوي ديگر در دنياي رقابتي امروز توليد محصول با دسترس‌پذيري بالا يک اولويت مهم به شمار مي‌آيد، خصوصا در سيستم‌هايي که اثرات مخرب خرابي‌هاي منجر به توقف و عدم دسترس‌پذيري جدي هستند. از آنجا که نت به‌عنوان فعاليتي هزينه‌بر و در عين حال سود آور مي‌تواند هم عامل افزايش دسترس‌پذيري سيستم باشد و هم عامل کاهش آن، ارزيابي يک سياست نت از لحاظ هزينه و دسترس‌پذيري به‌طور همزمان و با توجه به اولويت‌هاي فرد تصميم گيرنده و ارائه‌ي يک برنامه‌ريزي جامع براي ايجاد توازن بهينه بين اهداف مذکور مي‌تواند بسيار ارزشمند باشد. به‌طور خلاصه مي‌توان گفت اين مطالعه چارچوبي نوين براي برنامه‌ريزي رياضي مسئله‌ي نت وضعيت محور در قالب مدل مارکف، در مورد تجهيزات قابل مشاهده‌ي جزئي رو به زوال تصادفي در سيستم‌هاي توليدي، با در نظر گرفتن فاکتورهاي هزينه و دسترس‌پذيري و نيز روابط ما بين آنها، در جهت ارائه‌ي سياست بهينه‌ي بازرسي و نت، پيشنهاد مي‌نمايد. برخي تکنيک‌هاي رياضي از قبيل "فرآيند تصميم‌گيري مارکف قابل مشاهده جزئي" و تئوري بيز براي مدل‌سازي مسئله تصادفي به‌کار گرفته شده‌اند. مدل‌سازي مسئله نت مبتني بر وضعيت با محوريت هزينه-دسترس‌پذيري در چارچوب "فرآيند تصميم‌گيري مارکف قابل مشاهده جزئي" کار نويني است که منجر به ارائه‌ي بهتر طبيعت "قابل مشاهده جزئي" بودن و "زوال تصادفي" در بسياري سيستم‌ها مي‌شود. در حل مدل از یک روش جديد که روش دقيقی است استفاده شده و کارايي روش در حل چنين مسائلي با برخي روش‌هاي دقيق و تقريبي ديگر مقايسه شده است.

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