Cybernetic Approaches to Computer Communications Networks

Abstract

Computer networks are very complex and somewhat unpredictable systems in dynamic operations. Cybernetic modelling, incorporating stochastic, fuzzy variables, wherever appropriate, approximating interactions not easily tractable via a black‐box systems approach, may be more accurate. A method of analysis of computer networks is considered by representing subsystems and interactions, accurately as far as possible, and then utilising the results of systems sciences for analysis, including specifics, e.g. queuing systems. The aim is to identify correspondences between the behaviour of subsystems of networks and suitable analytic tools. Automation along such lines for the analysis and design of networks and other systems may be a possibility.

Wiener‐Hopf Equation Revisited

“…where A 2 (s) is the LT of the service time in the iso-density M/G/1 system. It has been proved elsewhere by the author and his associates [5,6] that if the service time in the M/G/1 system follows a hyper-Erlangian density function HE q :…”

“…Work has been done [7] on the possibility of approximately deriving the probability density function of Z directly from (5). We can derive the cumulant k r of order r from the well-known statistical relation Computations of mean and variance of Z in a few E p /E q /1 systems are given in Table I.…”