对比分析了模糊环境和直观模糊环境下的群体设备更换模型和个体设备更换模型,以获得优化结果

Q3 Mathematics
Vijaya Kumar Saranya, Shanmuga Sundari Murugan
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引用次数: 0

摘要

本研究的主要目的是比较基于模糊替代理论和直觉模糊替代理论的群体和个人替代模型。分别假设资金成本为三角模糊数、三角直觉模糊数和梯形直觉模糊数。因此,解释波动性和模糊性之间的直接关系至关重要。很难预测特定设备何时会出现意外故障。这个问题可以通过计算失效分布的概率来解决。此外,假定故障只发生在周期t结束时。在这种情况下,使用两种类型的替换策略。第一个是个人更换政策,它指出,如果一个项目出现问题,它将被立即更换。Group Replacement Policy规定所有项目必须在一定时间后更换,并可选择在最佳时间之前更换任何项目。起诉的维度是模糊的,然后用数学和逻辑程序对它们进行评估。替代模型的模糊评价标准是作为一组结果提供的,而直觉模糊替代模型具有许多优点。一种方法技术被用于确定质量测量,其中模糊成本或值被保留而不被合并为清晰的值,允许我们在不确定的设置中得出数学推断。对每个模糊数建立了比较概念,并在不确定环境下对群体替代和个体替代进行了比较研究。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A comparative analysis of the fuzzy and intuitionistic fuzzy environment for group and individual equipment replacement Models in order to achieve the optimized results
The main goal of this research is to compare group and individual replacement models based on fuzzy replacement theory and intuitionistic fuzzy replacement theory. The capital costs are assumed to be triangular fuzzy numbers, triangular intuitionistic fuzzy numbers, and trapezoidal intuitionistic fuzzy numbers, respectively. As a result, interpreting the direct relationship between volatility and ambiguity is critical. It is difficult to predict when specific equipment will unexpectedly fail. This problem can be solved by calculating the probability of failure distribution. Furthermore, the failure is assumed to occur only at the end of period t. In this situation, two types of replacement policies are used. The first is the Individual Replacement Policy, which states that if an item fails, it will be replaced immediately. The Group Replacement Policy states that all items must be replaced after a certain time period, with the option of replacing any item before the optimal time. The dimensions of the prosecution are fuzzy, and they are then assessed using mathematical and logical procedures. The fuzzy assessment criteria of the replacement model are provided as a set of outcomes, whereas the intuitionistic fuzzy replacement model has many advantages. A methodological technique is used to determine quality measurements in which fuzzy costs or values are kept without being merged into crisp values, allowing us to draw mathematical inferences in an uncertain setting. A comparison conceptualise is created for each fuzzy number, and in an uncertain environment, a comparison study on group and individual replacement was also conducted.
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来源期刊
CiteScore
2.00
自引率
0.00%
发文量
19
审稿时长
16 weeks
期刊介绍: The International Journal for Simulation and Multidisciplinary Design Optimization is a peer-reviewed journal covering all aspects related to the simulation and multidisciplinary design optimization. It is devoted to publish original work related to advanced design methodologies, theoretical approaches, contemporary computers and their applications to different fields such as engineering software/hardware developments, science, computing techniques, aerospace, automobile, aeronautic, business, management, manufacturing,... etc. Front-edge research topics related to topology optimization, composite material design, numerical simulation of manufacturing process, advanced optimization algorithms, industrial applications of optimization methods are highly suggested. The scope includes, but is not limited to original research contributions, reviews in the following topics: Parameter identification & Surface Response (all aspects of characterization and modeling of materials and structural behaviors, Artificial Neural Network, Parametric Programming, approximation methods,…etc.) Optimization Strategies (optimization methods that involve heuristic or Mathematics approaches, Control Theory, Linear & Nonlinear Programming, Stochastic Programming, Discrete & Dynamic Programming, Operational Research, Algorithms in Optimization based on nature behaviors,….etc.) Structural Optimization (sizing, shape and topology optimizations with or without external constraints for materials and structures) Dynamic and Vibration (cover modelling and simulation for dynamic and vibration analysis, shape and topology optimizations with or without external constraints for materials and structures) Industrial Applications (Applications Related to Optimization, Modelling for Engineering applications are very welcome. Authors should underline the technological, numerical or integration of the mentioned scopes.).
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