δ-冲击建模的一些新方法

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Applied Mathematical Modelling Pub Date : 2024-09-17 DOI:10.1016/j.apm.2024.115707

Reza Farhadian, Habib Jafari

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引用次数: 0

摘要

在δ-冲击模型中，遭受随机冲击的系统的生命行为取决于连续冲击之间的到达时间长度。本文研究了经典δ-冲击模型的广义版本，在该模型下，当0≤α<δ的到达时间间隔为[α,δ]时，系统失效。此外，我们还采用了一种创新方法，在新的假设条件下研究了经典的δ-冲击模型，即在模型的临界区间内，到达时间是过度分散的。与冲击模型的传统假设相比，这是一个新的假设，实际上引入了系统面临失效压力的情况。在这一假设下，我们考虑了系统的两种情况，即常规情况和临界情况，然后研究了这些情况下系统寿命的可靠性行为。此外，还提供了一些实例来说明应用的理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Some new approaches to δ-shock modeling

In δ-shock modeling, the life behavior of systems suffering from random shocks depends on the length of inter-arrival times between successive shocks. In this paper, a generalized version of the classical δ-shock model is studied, under which the system fails when the inter-arrival time falls in the interval $[α, δ]$ for $0 \leq α < δ$ . Furthermore, with an innovative approach, the classical δ-shock model is studied under this new assumption that the inter-arrival times are overdispersed in the critical interval of the model. This is a new assumption compared to the traditional assumptions in the context of shock models and actually introduces a situation wherein the system is under pressure to fail. Under this assumption, two situations are considered for the system, which are regular and critical situations, and then the reliability behavior of the system's lifetime is investigated under these situations. Some examples are also provided to illustrate the theoretical results of the application.

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来源期刊

Applied Mathematical Modelling 数学-工程：综合

CiteScore

9.80

自引率

8.00%

发文量

508

审稿时长

43 days

期刊介绍： Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged. This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering. Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.