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A multi-class single-server queueing model with finite buffers, in which scheduling and admission of customers are subject to control, is studied in the moderate deviation heavy traffic regime. A risk-sensitive cost set over a finite time…

概率论 · 数学 2018-05-02 Rami Atar , Asaf Cohen

We consider a stochastic, dynamic job scheduling problem, formulated as a queueing control problem, in which a single server processes jobs of different types that arrive according to independent Poisson processes. The problem is defined on…

最优化与控制 · 数学 2025-09-09 Dongnuan Tian , Rob Shone

A major limitation of existing routing algorithms for multi-agent systems is that they are designed without considering the potential presence of adversarial agents in the decision-making loop, which could lead to severe performance…

多智能体系统 · 计算机科学 2025-12-23 Roee M. Francos , Daniel Garces , Orhan Eren Akgün , Stephanie Gil

We consider a single-server cyclic polling system with three queues where the server follows an adaptive rule: if it finds one of queues empty in a given cycle, it decides not to visit that queue in the next cycle. In the case of limited…

概率论 · 数学 2013-03-20 Natalia Chernova , Sergey Foss , Bara Kim

This paper studies a dynamic discrete-time queuing model where at every period players get a new job and must send all their jobs to a queue that has a limited capacity. Players have an incentive to send their jobs as late as possible;…

计算机科学与博弈论 · 计算机科学 2023-02-08 Lucas Baudin , Marco Scarsini , Xavier Venel

Motivated by providing quality-of-service differentiated services in the Internet, we consider buffer management algorithms for network switches. We study a multi-buffer model. A network switch consists of multiple size-bounded buffers such…

数据结构与算法 · 计算机科学 2015-05-19 Fei Li

The paper establishes necessary and sufficient conditions for stability of different join-the-shortest-queue models including load-balanced networks with general input and output processes. It is shown, that the necessary and sufficient…

概率论 · 数学 2007-09-13 Vyacheslav M. Abramov

We study the \emph{bounded-delay model} for Qualify-of-Service buffer management. Time is discrete. There is a buffer. Unit-length jobs (also called \emph{packets}) arrive at the buffer over time. Each packet has an integer release time, an…

数据结构与算法 · 计算机科学 2011-08-02 Fei Li

Stability is an important issue in order to characterize the performance of a network, and it has become a major topic of study in the last decade. Roughly speaking, a communication network system is said to be stable if the number of…

网络与互联网体系结构 · 计算机科学 2020-05-06 Vicent Cholvi , Paweł Garncarek , Tomasz Jurdzinski , Dariusz R. Kowalski

Network capacity region of multi-queue multi-server queueing system with random ON-OFF connectivities and stationary arrival processes is derived in this paper. Specifically, the necessary and sufficient conditions for the stability of the…

信息论 · 计算机科学 2010-01-14 Hassan Halabian , Ioannis Lambadaris , Chung-Horng Lung

Performance analysis of queueing networks is one of the most challenging areas of queueing theory. Barring very specialized models such as product-form type queueing networks, there exist very few results which provide provable…

最优化与控制 · 数学 2010-09-22 Dimitris Bertsimas , David Gamarnik , Alexander Rikun

Classical queuing network control strategies typically rely on accurate knowledge of model data, i.e., arrival and service rates. However, such data are not always available and may be time-variant. To address this challenge, we consider a…

最优化与控制 · 数学 2023-06-09 Qian Xie , Li Jin

We consider multi-class single-server queueing networks that have a product form stationary distribution. A new limit result proves a sequence of such networks converges weakly to a stochastic flow level model. The stochastic flow level…

概率论 · 数学 2009-12-15 N. S. Walton

We introduce and study a new model that we call the {\em matching model}. Items arrive one by one in a buffer and depart from it as soon as possible but by pairs. The items of a departing pair are said to be {\em matched}. There is a finite…

概率论 · 数学 2016-06-03 Jean Mairesse , Pascal Moyal

We consider the model of a token-based joint auto-scaling and load balancing strategy, proposed in a recent paper by Mukherjee, Dhara, Borst, and van Leeuwaarden (SIGMETRICS '17, arXiv:1703.08373), which offers an efficient scalable…

概率论 · 数学 2020-02-27 Debankur Mukherjee , Alexander Stolyar

Information-theoretic arguments focus on modeling the reliability of information transmission, assuming availability of infinite data at sources, thus ignoring randomness in message generation times at the respective sources. However, in…

网络与互联网体系结构 · 计算机科学 2009-09-29 K. C. V. Kalyanarama Sesha Sayee

This note introduces a piecewise-deterministic queueing (PDQ) model to study the stability of traffic queues in parallel-link transportation systems facing stochastic capacity fluctuations. The saturation rate (capacity) of the PDQ model…

最优化与控制 · 数学 2018-02-19 Li Jin , Saurabh Amin

In this paper, we characterize the stability region of multi-queue multi-server (MQMS) queueing systems with stationary channel and packet arrival processes. Toward this, the necessary and sufficient conditions for the stability of the…

信息论 · 计算机科学 2015-03-19 Hassan Halabian , Ioannis Lambadaris , Chung-Horng Lung

We consider a dynamic server control problem for two parallel queues with randomly varying connectivity and server switchover time between the queues. At each time slot the server decides either to stay with the current queue or switch to…

最优化与控制 · 数学 2010-08-16 Guner D. Celik , Long B. Le , Eytan Modiano

Transmission Control Protocol (TCP) continues to be the dominant transport protocol on the Internet. The stability of fluid models has been a key consideration in the design of TCP and the performance evaluation of TCP algorithms. Based on…

网络与互联网体系结构 · 计算机科学 2025-02-18 Sreekanth Prabhakar , Gaurav Raina