Divided into five major sections, this paper describes a new algorithm which has been implemented in an extended FORTRAN program which runs on a CDC 6500 computer. The first section of the paper briefly outlines the goals of network analysis and presents the context in which these goals must be met. Section 2 describes the algorithm and the rationale behind it. In section 3 some especially important programing considerations are described, and section 4 covers some general characteristics of running the program. The final section of the paper briefly describes the historical development of this algorithm. (RB)