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This is a Quantitative Study study.

October 20, 2025Open Access

The Stationary Behavior of Reflecting Coupled Brownian Motions with Applications to Shortest Remaining Processing Time Queues

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Authors

SJSixian JinCalifornia State University, San Marcos MPM. Díaz Peña APAmber L. PuhaCalifornia State University System

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Implication

This analysis demonstrates stationary distributions in shortest remaining processing time queues, highlighting intricacies in heavy-tailed processing time dynamics.

Key Points

The stationary distribution of the reflecting coupled brownian motions characterizes queue behavior over time.
An explicit representation for finite-dimensional distributions reveals insights into the maximum process of the system.
Convergence in distribution of the reflecting coupled brownian motions indicates long-term stability and performance metrics.
Connections to established theories, like Little's Law, deepen the understanding of queue dynamics through rigorous calculation of mean and variance.

Cite This Study

Jin et al. (2025) studied this question.

synapsesocial.com/papers/68f5fcdc8d54a28a75cf246e https://doi.org/10.48550/arxiv.2507.03215

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Implication

This analysis demonstrates stationary distributions in shortest remaining processing time queues, highlighting intricacies in heavy-tailed processing time dynamics.

The Stationary Behavior of Reflecting Coupled Brownian Motions with Applications to Shortest Remaining Processing Time Queues

Discussion

Member takes

Implication

Key Points

Cite This Study

The Stationary Behavior of Reflecting Coupled Brownian Motions with Applications to Shortest Remaining Processing Time Queues

Discussion

Member takes

Implication

Key Points

Cite This Study

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