Numerical Computations and Tail Asymptotics for Stationary Indices of a Discrete-time Queue

HB Zhang - Journal of the Operations Research Society of China, 2024 - Springer
This paper considers numerical computations and tail asymptotics for stationary queue
length and sojourn time distribution of the Geo/T-IPH/1 queue, where T-IPH denotes the …

Asymptotics of queue length distributions in priority retrial queues

J Walraevens, D Claeys, T Phung-Duc - Performance Evaluation, 2018 - Elsevier
We calculate asymptotics of the distribution of the number of customers in orbit in a two-class
priority retrial M∕ G∕ 1-type queueing model. In this model, priority customers wait in line …

Heavy-traffic asymptotics of a priority polling system with threshold service policy

Z Liu, Y Chu, J Wu - Computers & Operations Research, 2016 - Elsevier
In this paper, by the singular-perturbation technique, we investigate the heavy-traffic
behavior of a priority polling system with three queues under threshold policy. It turns out …

[PDF][PDF] 对M/T-SPH/1 排队平稳指标的进一步研究—数值计算与渐近分析

张宏波 - 高校应用数学学报, 2021 - amjcu.zju.edu.cn
讨论M/T-SPH/1 排队平稳队长分布的数值计算, 以及平稳队长和逗留时间分布各阶矩的数值计算
及渐近分析. 其中T-SPH 表示可数状态吸收生灭链吸收时间的分布. 在分布PGF 和LST …

The kernel method tail asymptotics analytic approach for stationary probabilities of two-dimensional queueing systems

YQ Zhao - Queueing Systems, 2022 - Springer
Many queueing systems can be modelled as two-dimensional random walks with reflective
boundaries, discrete, continuous or mixed. Stationary probabilities are one of the most …

Kernel Method--An Analytic Approach for Tail Asymptotics in Stationary Probabilities of 2-Dimensional Queueing Systems

YQ Zhao - arXiv preprint arXiv:2101.11661, 2021 - arxiv.org
In this paper, we provide a review on the kernel method, which is one of the options for
characterizing so-called exact tail asymptotic properties in stationary probabilities of two …

Analyses of equilibrium behaviour of customers and optimal design for queues under a preemptive priority discipline

Y Shi, C Wang - Proceedings of the 2019 3rd International Conference …, 2019 - dl.acm.org
The paper considers a classical M/M/1 queue with two priority classes under a preemptive
priority discipline. Based on the performance measures of White and Christie [14], the paper …

Exact tail asymptotics for a two-stage queue: Complete solution via kernel method

H Dai, L Kong, Y Song - RAIRO-Operations Research-Recherche …, 2017 - numdam.org
In this paper, we are interested in tail asymptotics of stationary distributions for a twostage
tandem queue with coupled processors, Poisson arrivals, and exponential service times …

[PDF][PDF] Sistemas de colas en tiempo discreto con entradas y servicios en bloque: estudio teórico y simulaciones comparativas

AL Marín - 2016 - core.ac.uk
A estas competencias establecidas desde el marco estatal, se suman las propias del
programa de doctorado de la Universidad de Burgos en el que se inscribe la presente …