Transformation-Based Stationary Analysis of Single Server Feedback Fluid Queue: An Enhanced Approach

Amit Kumar · Ankit Kumar · Chandra Shekhar

10 citations0/0 files storedInternational Conference on Advancement in Electronics & Communication Engineering (AECE)

No readable copy stored yet — this record is metadata only.

No open-access location is known for this record yet.

Literature note Cite in a project Citation map

Advanced Queuing Theory Analysis Probability and Statistical Research Probability and Risk Models

Abstract

The objective of this research article is to present innovative mathematical expressions that describe the steady-state distribution of buffer content within a fluid queue influenced by an M/M/1 queue with feedback. The resulting distribution is represented using modified Bessel functions, specifically, the second-kind Bessel function modifications. These modifications offer various advantageous properties and notably simplify the mathematical complexity involved in the analysis. This novel approach proves valuable for investigating dynamic queue systems, as it enhances the efficiency of generating stationary distribution data.

Paper brief

Loading…

Cite this work

Citation unavailable for this work.

BibTeX RIS CSL-JSON

No public copy is stored for this record, so only the metadata is cited.

Citations in this library

Citation map →

Stored only when both papers are in the corpus — 10 citations exist upstream.

References

1997A fluid queue driven by an infinite-state birth-death process 2019Modified Bessel series solution of the single server queueing model with feedback 2020Single server multiple vacation queue with discouragement solve by confluent hypergeometric function 2010Fluid model driven by an M/M/1 queue with multiple vacations and N-policy 2011Fluid model driven by an M/G/1 queue with multiple exponential vacations 2023Transient Analysis of Queueing-Based Congestion with Differentiated Vacations and Customer’s Impatience Attributes 2013Analysis of an M/M/1 driven fluid queue with multiple exponential vacations

Cited by

2024Queueing System Optimization and Computational Analysis: A Comprehensive Investigation into Research Evaluation

Explore the map →

Papers that cite the same references — the relational fallback while embeddings are still backfilling.

Imported from OpenAlex (CC0) — nothing here is generated.