System-State Model Theory and Implementation.
Abstract
The system-state model (SSM) is both an abstract and a computational construct for representing, in the discrete time domain, at arbitrary and varying levels of specificity, the activity inherent in the processes of many classes of systems. Representable process activity may be simultaneous, asynchronous and hierarchically-related. As a formal model, the SSM represents quantitative temporal and spatial relationships among the components of the process or system being modeled. Also, as a simulation model, the SSM may accommodate representation of supplemental aspects of component activity to the extent such activity influences the formal temporal and spatial specifications. The SSM is presented first as a set-theoretic formulation involving (1) identification of the system S to be modeled, (2) transformation of S to a static representation M, (3) transformation of M to a dynamic representation M', and (4) evaluation of M'. The static representation S is described, alternatively, as a finite, directed graph involving loops and parallel lines. Secondly, the SSM is presented as a computational formulation involving (1) subsystem matrix, (2) system-state matrix, (3) transition matrix and (4) an activity procedure which operates upon the matrices. A software implementation of the computational formulation has been completed in Fortran 4 and for the IBM 360. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1970
- Accession Number
- AD0715111
Entities
People
- John J. Lenahan
Organizations
- University of Houston