7On New Joint Importance Measures for Multistate Reliability Systems

Chacko V. M.

St. Thomas College (Autonomous), Thrissur, Kerala, India

Abstract

In system reliability engineering, the use of importance and joint importance measures to identify the weak areas of a system and signify the roles of components in either causing or contributing to proper functioning of the system is addressed by several researchers. But a few papers are available in the literature for finding joint importance measures for more than two components. This chapter introduces new Joint Reliability Achievement Worth (JRAW), Joint Reliability Reduction Worth (JRRW), and Joint Reliability Fussell-Vesely measure (JRFV) for three multistate components of a multistate system. This is a new approach to find out the joint effect of group of components in improving system reliability. The differencing technique is used in the proposed measures. A steady-state performance level distribution with restriction to the component’s states is used to evaluate the proposed measures. Universal generating function (UGF) technique is applied for the evaluation of proposed joint importance measures. An illustrative example is provided.

Keywords: Multistate system, reliability, joint importance measure, universal generating function

7.1 Introduction

The role of group of components in improving system reliability is inevitable in system engineering with regard to the effect of interaction of the group of components on performance ...

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