RELIABILITY EVALUATION OF BRIDGE SYSTEM WITH FUZZY RELIABILITY OF COMPONENTS USING INTERVAL NONLINEAR PROGRAMMING

被引：10

作者：

Mahapatra, G. S. ^{[1
]}

Roy, T. K. ^{[2
]}

机构：

[1] Siliguri Inst Technol, Dept Math, Siliguri, India

[2] Bengal Engn & Sci Univ, Howrah, W Bengal, India

来源：

ELECTRONIC JOURNAL OF APPLIED STATISTICAL ANALYSIS | 2012年 / 5卷 / 02期

关键词：

Reliability; fuzzy number; interval number; bridge network; interval nonlinear programming;

D O I：

10.1285/i20705948v5n2p151

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Practically reliability of component is imprecise in nature. We have considered reliability components are taken fuzzy in nature, so system reliability is also in fuzzy nature. We apply Zadeh's extension principal and interval arithmetic operation to evaluate reliability of the system assembled with fuzzy reliability of components. We approximate the system reliability to a fuzzy number and evaluate the corresponding maximum divergence. Here, we demonstrate a bridge network whose components reliability are taken as triangular fuzzy number. Evaluating reliability of the system belongs to an interval. We have considered cost constrained goal as an interval number, interval nonlinear programming is used to find out the system reliability. Numerical examples are given to illustrate the approach to evaluate the system reliability.

引用

页码：151 / 163

页数：13

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