Joint module importance measures for multistate systems

In reliability engineering, the use of importance and joint importance measures to identify the weak components or module of a system and signify the roles of components/modules in either causing or contributing to proper functioning of the system, is crucial. Systems are made up of different modules. This paper introduces, Joint Module Reliability Achievement Worth, Joint Module Reliability Reduction Worth, Joint Module Reliability Fussell-Vesely measure and analogues joint risk importance measures for three multistate components of a multistate system. A steady state performance level distribution with restriction to the component's states is used to evaluate the proposed measures. Universal generating function technique is applied for the evaluation of proposed joint importance measures. An illustrative example is provided.