This paper systematically introduces and reviews a scientific exploration of reliability called the belief reliability. Beginning with origin engineering, problems present theories for engineering are summarized as query, dilemma, puzzle. Then, through philosophical reflection, we introduce theoretical solutions given by theory, including principles, basic equations, science experiments, mathematical measures. The methods technologies reliability, namely, analysis, function-oriented design,...

Belief reliability is a new metric based on the uncertainty theory, which aims to measure system performance incorporating influences from design margin, aleatory uncertainty, and epistemic uncertainty. A key point in belief determine distribution actual conditions, which, however, could be difficult when available information limited. This paper proposes an optimal model maximum entropy principle kth moments of what can obtained. An estimation method using linear interpolation genetic...

Spalling, a common failure mechanism of gear systems, greatly affects the dynamics gears operation, which is reflected in time-varying mesh stiffness (TVMS). Current TVMS models often overestimate asymmetric spalling phenomenon and may lead to inaccuracy identifying predicting failure. To address this problem, paper, new stiffness, namely torsional introduced quantify effect defects, an equivalent calculation method for different shapes proposed. Based on this, shape-independent model...

Accurate inventory management starts with the scientific and rational classification of numerous varieties spare parts. This paper presents a stochastic data envelopment analysis (DEA) model to address problem optimization spares under uncertainty. An index system is proposed in terms product life-cycle process, which contains five design indexes, four operation indexes support indexes. Then, quantification method briefly discussed preparation for mathematical calculation. A (SSOM) based on...

This paper copes with a joint Location-Allocation-Inventory problem in three-echelon base-level spare part support system epistemic uncertainty uncertain demands of bases. The aim the is to propose an optimization model under theory minimize total cost, which integrates crucial characterizations inventory control decisions and location-allocation scheme arrangement periodic review order-up-to-S (T, S) policy. Uncertainty introduced this characterize uncertainty, where are treated as...

As a maintenance strategy to reduce unexpected failures and enable safe operation, condition-based (CBM) has been widely used in recent years. The decision criteria of CBM the literature mostly originate from statistical failure data or degradation states, few which can directly effectively reflect current state analyze condition monitoring data, measures, reliability together at same time. In this paper, we introduce performance margin as criterion CBM. We propose optimization method using...

Abstract Condition‐based maintenance (CBM) has gradually gained more attention, and the degradation process been increasingly applied to optimization models. The insufficient data complex of equipment conditions will contribute epistemic uncertainty. Besides, implementation introduces oscillatory features into process, deviating from a monotonically decreasing trend, complicating CBM. In this article, simultaneously address problem uncertainty consider influence inspection maintenance, we...

Compared to conventional energy sources, wind power is a clean source with high intermittence and uncertainty. As system that converts into electricity, farms inevitably face severe reliability issues. In this paper, based on theory, new modeling method for proposed. Firstly, belief model constructed. Then, generation two-directional rotor equivalent speed established represent the farm performance in model. Finally, several numerical studies are conducted verify under different speeds...

Abstract For newly developing systems, the determination of reliability index is an important task in system demonstration process that determines both design goal and verification requirement. However, due to insufficient data at beginning life cycle, problem epistemic uncertainty cannot be ignored. Researchers have proposed several belief metrics analysis methods quantify a system, but best knowledge authors, no relevant studies been performed on determination. In this paper, we propose...

Similar product information is valuable for reliability evaluation. How to define and measure similarity the key making good use of similar information. In this paper, a new measurement in terms margin newly developed based on belief theory system theory. Subsequently, fusion evaluation method proposed assess products combination with failure data from old products. To demonstrate effectiveness above methods, case study seed source generation circuit employed, which shows methods can...