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Hejazi, Taha Hossein, Bagheri, Mohsen, Jamshidi, Hanieh. (1397). Probabilistic Approach in Mathematical Programming Model to Solve Redundancy Allocation Problems in a Series-Parallel System with All Unit Discount Policy. , 52(1), 13-23. doi: 10.22059/jieng.2018.230815.1355
Taha Hossein Hejazi; Mohsen Bagheri; Hanieh Jamshidi. "Probabilistic Approach in Mathematical Programming Model to Solve Redundancy Allocation Problems in a Series-Parallel System with All Unit Discount Policy". , 52, 1, 1397, 13-23. doi: 10.22059/jieng.2018.230815.1355
Hejazi, Taha Hossein, Bagheri, Mohsen, Jamshidi, Hanieh. (1397). 'Probabilistic Approach in Mathematical Programming Model to Solve Redundancy Allocation Problems in a Series-Parallel System with All Unit Discount Policy', , 52(1), pp. 13-23. doi: 10.22059/jieng.2018.230815.1355
Hejazi, Taha Hossein, Bagheri, Mohsen, Jamshidi, Hanieh. Probabilistic Approach in Mathematical Programming Model to Solve Redundancy Allocation Problems in a Series-Parallel System with All Unit Discount Policy. , 1397; 52(1): 13-23. doi: 10.22059/jieng.2018.230815.1355

Probabilistic Approach in Mathematical Programming Model to Solve Redundancy Allocation Problems in a Series-Parallel System with All Unit Discount Policy

Advances in Industrial Engineering
مقاله 3، دوره 52، شماره 1، تیر 2018، صفحه 13-23    اصل مقاله (858.42 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/jieng.2018.230815.1355
نویسندگان
Taha Hossein Hejazi* ؛ Mohsen Bagheri؛ Hanieh Jamshidi
Department of Industrial Engineering, Amirkabir University of Technology, Garmsar Campus, Iran
چکیده
Nowadays, designing and implementing systems with premier features and higher reliability is deemed to be a basic principle for the engineers and users. Because regarding this point can result in the proper use of a system during its lifetime. Reliability refers to a measure of quality versus time factor that is computed by a probability of working without any failure in a given time and under some specific conditions. Since a system consists of many items, which withstand several stress factors, manufacturers commonly employ different solution approaches to increase the reliability. One of the main strategies in this regard is to consider some additional items in parallel to original ones. This is also called redundancy allocation. Different items have different reliability, cost, weight, and importance level. So, making decision on assigning redundant would be of interest under limited budget and volume or weight in system development.  Some redundant item is not turned on until the main item works correctly. Hence, a switch and sensors would be considered to monitor the status of the main item and to decide when the redundant must start working. This type is called standby item. In today’s competitive world, offering a system with lower total expense, given that its high reliability is maintained, can make the company popular with the customers. Although in recent years, research on optimization have been presented with all unit discount for components of a system, this paper not only addresses the active redundancy strategy, but also it discusses a combination of components with active or cold redundancy strategy. It uses a system that generates the all unit discount to the sum of the components with the two strategies mentioned. Additionally, in order to make the problem more realistic to the real world, failure rate and cost parameters were considered uncertain. To solve two models with the aims of maximizing the reliability and minimizing the cost, chance constrained approach was employed for the constraints of cost and reliability. The proposed model was solved with accurate method using GAMS software. With regard to the model’s proper treatment of changes in effective factors proposed in the model, it is concluded that this model is exploitable for optimizing stability in mass production industries where applying the global discount policy leads to some benefits.
کلیدواژه‌ها
All Unit Discounts؛ Probabilistic Programming؛ reliability؛ Redundancy Allocation Problem؛ Series-Parallel System
عنوان مقاله [English]
رویکرد احتمالی در ارائۀ مدل برنامه‌ریزی ریاضی مسئلۀ تخصیص مازاد یک سیستم سری- موازی با به‌کارگیری سیاست تخفیف
نویسندگان [English]
طه حسین حجازی؛ محسن باقری؛ حانیه جمشیدی
استادیار گروه مهندسی صنایع، دانشگاه صنعتی امیرکبیر، پردیس گرمسار
چکیده [English]
امروزه طراحی و به‌کارگیری سیستم‌هایی با خصوصیات برتر و قابلیت اطمینان بالاتر برای مهندسان و کاربران، اصلی اساسی به‌شمار می‌رود؛ زیرا توجه به این مسئله در استفادة مناسب از یک سیستم در طول دورة عمر آن تأثیرگذار است، همچنین در دنیای رقابتی امروز عرضة سیستمی با هزینة تمام‌شدة کمتر به‌طوری‌که قابلیت اطمینان زیاد برای آن حفظ شود، شرکت را در میان مشتریان محبوب می‌کند. هرچند در سال‌های اخیر پژوهش‌هایی در زمینة بهینه‌سازی پایایی با درنظرگرفتن تخفیفات کلی برای اجزای یک سیستم ارائه شده، نوآوری این تحقیق در آن است که نه‌تنها راهبرد مازاد فعال، بلکه ترکیبی از اجزا با راهبرد مازاد فعال یا آماده‌به‌کار سرد را می‌توان در یک سیستم به‌کار برد، به‌گونه‌ای که تخفیفات کلی به مجموع اجزاء با دو راهبرد مذکور تعلق بگیرد. علاوه‌بر این، به‌منظور نزدیک‌ترکردن شرایط مسئله به دنیای واقعی، پارامترهای نرخ خرابی و هزینه به‌صورت غیرقطعی درنظر گرفته شده است که برای حل دو مدل با اهداف حداکثرسازی پایایی و حداقل‌سازی هزینه به ترتیب رویکرد محدودیت احتمالی بر روی محدودیت مربوط به هزینه و پایایی استفاده می‌شود. مدل ارائه‌شده با روش دقیق و با استفاده از نرم‌افزار GAMS حل شده که با توجه به رفتار مناسب آن در تغییر عوامل مؤثر در مسئلة مورد بررسی نتیجه می‌گیریم که می‌توان از این مدل به‌منظور بهینه‌سازی پایایی و حداقل‌سازی هزینه در صنایع تولیدی با تولیدات بالا که به‌کارگیری سیاست تخفیفات کلی مزیتی را برای آن‌ها دارد، بهره‌برداری کرد.
کلیدواژه‌ها [English]
برنامه ریزی احتمالی, تخفیفات کلی, پایایی, سیستم سری- موازی, مسئلة تخصیص مازاد
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