Cover Image

Heavy-tail asymptotics for the length of a busy period in a Generalised Jackson Network

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Foss, Sergey, Miyazawa, Masakiyo, Yuan, Linglong
Format:	Preprint
Published:	2025
Subjects:	Probability 60K25, 60F10, 60K20
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

Heavy traffic limit of stationary distribution of the multi-level single server queue
by: Kobayashi, Masahiro, et al.
Published: (2025)

Diffusion approximation of the stationary distribution of a two-level single server queue
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)

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

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

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

Sample Path Moderate Deviation Principle for Queues with Waiting-time Dependent Interarrival and Service Times
by: Feng, Chang, et al.
Published: (2025)

Discrete time risk models with m-dependent random variables
by: Hoang, Nguyen Huy, et al.
Published: (2025)

Diffusion Limits for Measure-Valued Queueing Models, With Application to General Random Order of Service Queues
by: Loeser, Eva H
Published: (2025)

On Recurrence of the Infinite Server Queue
by: Foss, Sergey, et al.
Published: (2025)

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

Practical properties of the CUSUM process
by: Baron, Michael, et al.
Published: (2025)

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

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

Estimates of the probability of a regenerative process reaching a high level
by: Akbash, Kateryna, et al.
Published: (2025)

Fluid limits for interacting queues in sparse dynamic graphs
by: Goldsztajn, Diego, et al.
Published: (2023)

Opinion dynamics on dense dynamic random graphs
by: Baldassarri, Simone, et al.
Published: (2024)

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

The averaging process on infinite graphs
by: Gantert, Nina, et al.
Published: (2024)

Asymptotic Product-form Steady-state for Multiclass Queueing Networks with SBP Service Policies in Multi-scale Heavy Traffic
by: Dai, J. G., et al.
Published: (2024)

Statistical inference for mean-field queueing systems
by: Lambadaris, Ioannis, et al.
Published: (2024)

Exit-problem for a class of non-Markov processes with path dependency
by: Aleksian, Ashot, et al.
Published: (2023)

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

Permutation invariance in last-passage percolation and the distribution of the Busemann process
by: Bates, Erik, et al.
Published: (2025)

A two-size Wright--Fisher model: asymptotic analysis via uniform renewal theory
by: Alsmeyer, Gerold, et al.
Published: (2025)

Tail behavior of Markov-modulated generalized Ornstein-Uhlenbeck processes
by: Alsmeyer, Gerold, et al.
Published: (2026)

Tempered Erlang Queue with Multiple Arrivals
by: Dhillon, Manisha, et al.
Published: (2025)

On Mixed Time-Changed Erlang Queue
by: Pote, Rohini Bhagwanrao, et al.
Published: (2025)

On Erlang Queue with Multiple Arrivals and its Time-changed Variant
by: Pote, R. B., et al.
Published: (2025)

Large-population asymptotics for the maximum of diffusive particles with mean-field interaction in the noises
by: Kolliopoulos, Nikolaos, et al.
Published: (2024)

Rank-based stochastic differential inclusions and diffusion limits for a load balancing model
by: Atar, Rami, et al.
Published: (2024)

Upper tail large deviations for Brownian motions with one-sided collisions
by: Weiss, Thomas
Published: (2025)

Asymptotic Product-form Steady-state for Multiclass Queueing Networks: A Reentrant Line Case Study
by: Dai, Jim, et al.
Published: (2024)

Mean Waiting Times in Discrete-Time Priority Queues with Geometrically Distributed Idle Periods
by: Takine, Tetsuya
Published: (2026)

Random interlacements on transient weighted graphs: 0-1 laws and FKG inequality
by: Collin, Orphée
Published: (2026)

Time of appearance of a large gap in a dynamic Poisson point process
by: Foxall, Eric, et al.
Published: (2025)

Stein's method for models with general clocks: A tutorial
by: Braverman, Anton, et al.
Published: (2025)

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