A Study on Catastrophic Retrial Feedback Queueing Network Model with Three Nodes in Steady State

Queueing networks, which are effectively used for performance analysis of various systems, including computer, communications, transportation networks, and manufacturing, are discussed in this article. Under the catastrophic condition, we evaluate a queueing network with feedback and retrial for single server. In the third node the customer can decide whether feedback or leave the system with probabilities t, u and 1-t-u. Also using Little's formula, we are determining the likelihood of having idle customers and determining n number of customers in the system. We are deriving for the above model. The purpose of the numerical example gives the richness of our result and the feasibility of this concept.

Authors

Publication Details

Journal
Communications on Applied Nonlinear Analysis
Published
2024-10-09
DOI
https://doi.org/10.52783/cana.v32.1902
Primary Topic
Advanced Queuing Theory Analysis
Type
article
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article

A Study on Catastrophic Retrial Feedback Queueing Network Model with Three Nodes in Steady State

S. Shanmugasundaram
Communications on Applied Nonlinear Analysis
Advanced Queuing Theory Analysis
article

A Study on Catastrophic Retrial Feedback Queueing Network Model with Three Nodes in Steady State

S. Shanmugasundaram
article en

Abstract

Queueing networks, which are effectively used for performance analysis of various systems, including computer, communications, transportation networks, and manufacturing, are discussed in this article. Under the catastrophic condition, we evaluate a queueing network with feedback and retrial for single server. In the third node the customer can decide whether feedback or leave the system with probabilities t, u and 1-t-u. Also using Little's formula, we are determining the likelihood of having idle customers and determining n number of customers in the system. We are deriving for the above model. The purpose of the numerical example gives the richness of our result and the feasibility of this concept.

Communications on Applied Nonlinear AnalysisVol. 32(3)
Openalex Percentile: Top 69%
Advanced Queuing Theory Analysis
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