Multi-objective Fuzzy Reliability Optimization Model: A Parametric Geometric Programming Approach

Tanmay Kundu, S. Islam
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Abstract

This paper presents a multi-objective reliability optimization model taking system reliability and cost of a series system as objective functions. Due to the vagueness of judgements of the decision maker, the objective as well as constraint goal can involve many uncertain factor and other imprecise parameters with vague in nature in a reliability optimization model. Thus the model is formulated in fuzzy environment by considering cost coefficients and the exponential factor as triangular fuzzy number. Here, the nearest interval approximation method is applied to make the fuzzy model in crisp in nature. There are two types of parametric geometric programming technique is used to solve the proposed model. The performance of these two types of solution approach is evaluated by numerical example at the end of this paper.
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多目标模糊可靠性优化模型:一种参数几何规划方法
提出了以串联系统的可靠性和成本为目标函数的多目标可靠性优化模型。由于决策者判断的模糊性,在可靠性优化模型中,目标和约束目标都可能涉及许多不确定因素和其他具有模糊性的不精确参数。将成本系数和指数因子作为三角模糊数,在模糊环境下建立模型。本文采用最近邻区间逼近法,使模糊模型具有清晰性。采用两种参数化几何规划技术对所提出的模型进行求解。最后通过数值算例对这两种求解方法的性能进行了评价。
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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