Analysis of Asymptotic Average Characteristics for Non-Markovian Models of Unstable Random Access Networks

Authors:
P. I. Kotsyuruba;A. A. Nazarov
Affiliations:
Tomsk State University kocik1991@yandex.ru;Tomsk State University nazarov@fpmk.tsu.ru
Venue:
Problems of Information Transmission
Year:
2003

Citing 2
Cited 2

Data networks

Data networks
Ergodicity of Band Graph Markov Chains and Their Application to Problems of the Analysis of Existence of a Stationary Regime in a Dynamic Random Multiple Access Communication Network

Problems of Information Transmission

Local Diffusion Approximation of the State Changing Process of an Unstable Random Access Network in a Neighborhood of the Asymptotic Mean

Problems of Information Transmission
Method of asymptotic semiinvariants for studying a mathematical model of a random access network

Problems of Information Transmission

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Abstract

A mathematical non-Markovian model of a random access communication network is investigated asymptotically under the condition of a large delay. An ordinary differential equation is obtained, which determines the average number of calls in the source of repeat calls. Various expressions for it are found in the form of implicit functions, depending on relations between network parameters.