بعض النماذج الرياضية لتخصيص الموثوقية

Certain Mathematical Models for Reliability Allocation
البحث في الرسائل
الباحث
عامر حسن جاسم كاظم
المشرف
غازي عبدالله مدلول
الجامعة
جامعة بابل
الكلية / القسم
كلية التربية للعلوم الصرفة / الرياضيات
الشهادة
دبلوم عالي
السنة
2024
لغة الرسالة
انكليزي
الكلمات المفتاحية
Reliability Allocation ; Mathematical Models ; System Reliability ; Optimization

Abstract

This thesis aims to using some applications to improve the reliability of the systems that we adopted in this thesis. These are series, parallel and complex systems. The complex system is focused of attention in this thesis. Then, two methods were used to calculate the reliability function for the complex system. Applying two techniques (redundancy and allocation) to increase value the reliability of the three systems (series, parallel and complex). The redundancy technique was being in two methods, namely redundancy of elements and redundancy of the system, the two methods are applied to the three systems. Then ,applying the allocation technique to increase the reliability value of the three systems. Study the reliability importance of in simple and complex systems in multiple and different situations. then a new measure was be studied to evaluate the reliability importance of the minimal cuts for more than one component. Introduction The reliability allocation process, an important element of reliability engineering, helps system, designers select components, and apply appropriate design strategies to meet system reliability requirements. The allocation process involves generating a reliability block diagram and specifying system reliability requirements [1]. Reliability requirements are then assigned to subsystems and related components. The allocation process is dynamic and is typically considered throughout the design phases (Rau, 1984). At the conceptual phase when little or nothing is known about the system, simple allocation methods such as equal allocation, can be applied to assign equal reliability to subsystems. As the system design develops and more information about components and the operating environment becomes available, different allocation methods and reliability improvement techniques may also be considered. The allocation of system reliability involves solving the following inequality: f(R1 (t),R2(t),...,Rn (t)) ≥ Rs (t) where f is a function that relates components reliabilities to system reliability, R1 is the reliability at time t of the ith component, Rs(t) is reliability goal at time t. In this work, we discussed some basic definitions and concepts related to reliability, as well as some systems related to reliability. We also discussed in some methods of allocating reliability [2]. Many researchers focus their work on the study of various reliability systems such as series, parallel, series - parallel, parallel - series and complex systems that enter all areas of life.

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