PROBABILISTIC CHARACTERISTICS OF TWO-NODE COMMUNICATION NETWORKS IN REAL TIME

The problem of finding probabilistic characteristics of the states of a communication network with failures is considered. The network starts working from the zero state. Poisson flows of messages arrive at the nodes. The length of the messages is exponentially distributed random variables. If at the moment of receipt of a message at a node, this node is occupied by another message, then it leaves the network. A system of differential equations describing the operation of the network is compiled. Then, using the methods of operational calculus, this system of differential equations is solved.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-12-27
DOI
https://doi.org/10.5281/zenodo.14563414
Primary Topic
Advanced Queuing Theory Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

PROBABILISTIC CHARACTERISTICS OF TWO-NODE COMMUNICATION NETWORKS IN REAL TIME

Zenodo (CERN European Organization for Nuclear Research)
Advanced Queuing Theory Analysis
article

PROBABILISTIC CHARACTERISTICS OF TWO-NODE COMMUNICATION NETWORKS IN REAL TIME

article en

Abstract

The problem of finding probabilistic characteristics of the states of a communication network with failures is considered. The network starts working from the zero state. Poisson flows of messages arrive at the nodes. The length of the messages is exponentially distributed random variables. If at the moment of receipt of a message at a node, this node is occupied by another message, then it leaves the network. A system of differential equations describing the operation of the network is compiled. Then, using the methods of operational calculus, this system of differential equations is solved.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 44%
Advanced Queuing Theory Analysis
DOIOpen Access PDFOpenAlex
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PROBABILISTIC CHARACTERISTICS OF TWO-NODE COMMUNICATION NETWORKS IN REAL TIME · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS