Cover Image

Heavy traffic limit of stationary distribution of the multi-level single server queue

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kobayashi, Masahiro, Miyazawa, Masakiyo, Sakuma, Yutaka
Format:	Preprint
Published:	2025
Subjects:	Probability Optimization and Control 60K25, 60G10, 60M20, 60J25, 60G55
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Heavy-traffic limit of stationary distributions of a state-dependent queue
by: Kobayashi, Masahiro, et al.
Published: (2026)

Diffusion approximation of the stationary distribution of a two-level single server queue
by: Miyazawa, Masakiyo
Published: (2023)

Palm problems arising in BAR approach and its applications
by: Miyazawa, Masakiyo
Published: (2023)

Multi-level reflecting Brownian motion on the half line and its stationary distribution
by: Miyazawa, Masakiyo
Published: (2024)

The stationary distributions of state-dependent diffusions reflected at one and two sides
by: Miyazawa, Masakiyo
Published: (2024)

On transience of $M/G/\infty$ queues
by: Popov, Serguei
Published: (2024)

Stein's method, Gaussian processes and Palm measures, with applications to queueing
by: Barbour, A. D., et al.
Published: (2021)

Heavy traffic limit with discontinuous coefficients via a non-standard semimartingale decomposition
by: Atar, Rami, et al.
Published: (2025)

Heavy-tail asymptotics for the length of a busy period in a Generalised Jackson Network
by: Foss, Sergey, et al.
Published: (2025)

Convergences for a Virus-like Evolving Population driven by Mutually-exciting Hawkes Processes
by: Roy, Rahul, et al.
Published: (2026)

A restless time-fractional multiclass queue
by: Georgiou, Nicos, et al.
Published: (2025)

Convergence of processes time-changed by Gaussian multiplicative chaos
by: Ooi, Takumu
Published: (2023)

Dual process in the two-parameter Poisson-Dirichlet diffusion
by: Griffiths, Robert C., et al.
Published: (2021)

Large Deviations for High Minima of Gaussian Processes with Nonnegatively Correlated Increments
by: Selk, Zachary
Published: (2021)

Branching Interval Partition Diffusions
by: Buckland, Matthew
Published: (2024)

Time-dependent queue length distribution in queues fed by $K$ customers in a finite interval
by: Hayashi, Kaito, et al.
Published: (2024)

Many-server asymptotics for Join-the-Shortest Queue in the Super-Halfin-Whitt Scaling Window
by: Zhao, Zhisheng, et al.
Published: (2021)

Diffusion approximation error for queueing systems with general primitives
by: Braverman, Anton, et al.
Published: (2024)

The Boundary Principle of a Single Big Jump: Refined Asymptotics for Branching Processes with Immigration
by: Zhao, Yunfan
Published: (2025)

Stochastic Volterra equations: failure of the time-homogeneous Markov property
by: Friesen, Martin, et al.
Published: (2025)

Mean field limits of large Jackson networks in heavy traffic
by: Atar, Rami
Published: (2026)

Convergence of local times of stochastic processes associated with resistance forms
by: Noda, Ryoichiro
Published: (2023)

Lévy-driven queuing networks in multi-scale light and heavy traffic
by: Dȩbicki, Krzysztof, et al.
Published: (2026)

Occupied Processes: Going with the Flow
by: Tissot-Daguette, Valentin
Published: (2023)

A note on the uniform ergodicity of diffusion processes
by: Sandrić, Nikola
Published: (2025)

The stochastic evolution of an infinite population with logistic-type interaction
by: Kozitsky, Yuri, et al.
Published: (2024)

Asymptotic product-form steady-state for generalized Jackson networks in multi-scale heavy traffic
by: Dai, J. G., et al.
Published: (2023)

Renewal in Hawkes processes with self-excitation and inhibition
by: Costa, Manon, et al.
Published: (2018)

Markov Processes and Stochastic Extrinsic Derivative Flows on the Space of Absolutely Continuous Measures
by: Ren, Panpan, et al.
Published: (2024)

Asymptotics of the occupation measure defined on a nonnegative matrix of two-dimensional quasi-birth-and-death type
by: Ozawa, Toshihisa
Published: (2025)

High local maxima of stationary smooth Gaussian fields
by: Beliaev, Dmitry, et al.
Published: (2026)

Asymptotics for the growth of the infinite-parent Spatial Lambda-Fleming-Viot model
by: Louvet, Apolline, et al.
Published: (2024)

Regularity of multiplicative processes on infinite-dimensional Lie groups
by: Behme, Anita, et al.
Published: (2025)

Functional limit theorems for Gaussian-fed queueing network in light and heavy traffic
by: Kriukov, Nikolai, et al.
Published: (2025)

On the uniform Besov regularity of local times of general processes
by: Boufoussi, Brahim, et al.
Published: (2021)

Probability of total domination for transient reflecting processes in a quadrant
by: Fomichov, Vladimir, et al.
Published: (2020)

Stochastic homogenization of stable-like process with divergence free drift
by: Chen, Xin, et al.
Published: (2025)

Failure of the Markov property for stochastic Volterra equations
by: Friesen, Martin, et al.
Published: (2025)

Long Time Behavior of General Markov Additive Processes
by: Yaran, Celal Umut, et al.
Published: (2024)

Fluctuations of the Atlas model from inhomogeneous stationary profiles
by: Banerjee, Sayan, et al.
Published: (2023)