An algorithm to transform the generalized joint signatures

The generalized joint signature (GJS) is a useful tool to investigate the reliability of a set of systems with some shared components. The GJS depends only on the system structure and is a generalization of the signature which is used as an important concept for studying the system reliability. This paper surveys the relation between the GJS, the signature and the GJS of fewer number of systems. An algorithm is provided to obtain the signature and GJS of lower orders from the GJS