Modelling of information flow in continuous processing media

Authors:
Zinovy V. Reytblatt;James A. Kenevan
Affiliations:
Department of Mathematics, Illinois Institute of Technology, Chicago, Illinois 60616 USA;Department of Mathematics, Illinois Institute of Technology, Chicago, Illinois 60616 USA
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1990

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Abstract

A mathematical description of information flow in continouous processing media is offered. A large set of interconnected processors (a network) is modeled as a continuous processing media with distributed storage, relay, and computing properties. With certain assumptions on criteria for information exchange between processors and for the system input-output, it is shown that the storage utilization rates satisfy a system of partial differential equations. Numerical solutions were used to investigate certain important problems such as propagation of ''big jobs,'' etc.