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In this paper, asymptotic properties of the loss probability are considered for an M/G/1/N queue with server vacations and exhaustive service discipline, denoted by an M/G/1/N -(V, E)-queue. Exact asymptotic rates of the loss probability…

Probability · Mathematics 2012-05-01 Yuanyuan Liu , Yiqiang Zhao

Massive multiple-input multiple-output (MIMO) stands as a key technology for advancing performance metrics such as data rate, reliability, and spectrum efficiency in the fifth generation (5G) and beyond of wireless networks. However, its…

Signal Processing · Electrical Eng. & Systems 2025-05-19 Sajjad Nassirpour , Toan-Van Nguyen , Duy H. N. Nguyen

Motivated by the Quality-of-Service (QoS) buffer management problem, we consider online scheduling of packets with hard deadlines in a finite capacity queue. At any time, a queue can store at most $b \in \mathbb Z^+$ packets. Packets arrive…

Data Structures and Algorithms · Computer Science 2009-02-09 Fei Li

The substantial growth of network traffic speed and volume presents practical challenges to network data analysis. Packet thinning and flow aggregation protocols such as NetFlow reduce the size of datasets by providing structured data…

Applications · Statistics 2020-09-01 Prosha A. Rahman , Boris Beranger , Matthew Roughan , Scott A. Sisson

A notorious problem in queueing theory is to compute the worst possible performance of the GI/G/1 queue under mean-dispersion constraints for the interarrival and service time distributions. We address this extremal queue problem by…

Probability · Mathematics 2020-12-16 Wouter van Eekelen , Dick den Hertog , Johan S. H. van Leeuwaarden

Modern Internet services, such as those at Google, Yahoo!, and Amazon, handle billions of requests per day on clusters of thousands of computers. Because these services operate under strict performance requirements, a statistical…

Machine Learning · Statistics 2011-04-18 Charles Sutton , Michael I. Jordan

A new coding and queue management algorithm is proposed for communication networks that employ linear network coding. The algorithm has the feature that the encoding process is truly online, as opposed to a block-by-block approach. The…

Information Theory · Computer Science 2016-11-17 Jay Kumar Sundararajan , Devavrat Shah , Muriel Médard

Score-based methods are powerful across machine learning, but they face a paradox: theoretically path-independent, yet practically path-dependent. We resolve this by proving that practical training objectives differ from the ideal,…

Machine Learning · Computer Science 2026-05-12 Wei Chen , Jiacheng Li , Shigui Li , Zhiqi Lin , Junmei Yang , John Paisley , Delu Zeng

We investigate an optimization problem in a queueing system where the service provider selects the optimal service fee p and service capacity \mu to maximize the cumulative expected profit (the service revenue minus the capacity cost and…

Optimization and Control · Mathematics 2025-08-12 Xinyun Chen , Guiyu Hong , Yunan Liu

In this paper continuity theorems are established for the number of losses during a busy period of the $M/M/1/n$ queue. We consider an $M/GI/1/n$ queueing system where the service time probability distribution, slightly different in a…

Probability · Mathematics 2008-08-01 Vyacheslav M. Abramov

Connected vehicles (CVs) can provide numerous new data via vehicle-to-vehicle or vehicle-to-infrastructure communication. These data can in turn be used to facilitate real-time traffic state estimation. In this paper, we focus on ramp queue…

Systems and Control · Electrical Eng. & Systems 2023-05-30 Yu Tang , Kaan Ozbay , Li Jin

Stochastic simulation has been widely used to analyze the performance of complex stochastic systems and facilitate decision making in those systems. Stochastic simulation is driven by the input model, which is a collection of probability…

Risk Management · Quantitative Finance 2020-02-14 Tianyi Liu , Enlu Zhou

This paper introduces a novel approach employing extreme value theory to analyze queue lengths within a corridor controlled by adaptive controllers. We consider the maximum queue lengths of a signalized corridor consisting of nine…

Systems and Control · Electrical Eng. & Systems 2024-08-05 Shakib Mustavee , Pushkin Kachroo , Shaurya Agarwal

Queue length monitoring is a commonly arising problem in numerous applications such as queue management systems, scheduling, and traffic monitoring. Motivated by such applications, we formulate a queue monitoring problem, where there is a…

Data Structures and Algorithms · Computer Science 2025-04-28 Aditya Bhaskara , Sreenivas Gollapudi , Sungjin Im , Kostas Kollias , Kamesh Munagala

In this paper, we consider a problem of sampling a Wiener process, with samples forwarded to a remote estimator over a channel that is modeled as a queue. The estimator reconstructs an estimate of the real-time signal value from causally…

Information Theory · Computer Science 2019-08-20 Yin Sun , Yury Polyanskiy , Elif Uysal

It is shown that bandwidth estimation in packet networks can be viewed in terms of min-plus linear system theory. The available bandwidth of a link or complete path is expressed in terms of a {\em service curve}, which is a function that…

Networking and Internet Architecture · Computer Science 2008-01-04 Jorg Liebeherr , Markus Fidler , Shahrokh Valaee

The optimization of Value of Information (VoI) in sensor networks integrates awareness of the measured process in the communication system. However, most existing scheduling algorithms do not consider the specific needs of monitoring…

Networking and Internet Architecture · Computer Science 2022-04-27 Federico Chiariotti , Anders E. Kalør , Josefine Holm , Beatriz Soret , Petar Popovski

Flow records, that summarize the characteristics of traffic flows, represent a practical and powerful way to monitor a network. While they already offer significant compression compared to full packet captures, their sheer volume remains…

Networking and Internet Architecture · Computer Science 2025-04-30 Gabriele Merlach , Damiano Ravalico , Martino Trevisan , Fabio Palmese , Giovanni Baccichet , Alessandro E. C. Redondi

In this paper, we study an online sampling problem of the Wiener process. The goal is to minimize the mean squared error (MSE) of the remote estimator under a sampling frequency constraint when the transmission delay distribution is…

Information Theory · Computer Science 2022-12-27 Haoyue Tang , Yin Sun , Leandros Tassiulas

The paper proposes a method for measuring available bandwidth, based on testing network packets of various sizes (Variable Packet Size method, VPS). The boundaries of applicability of the model have been found, which are based on the…

Networking and Internet Architecture · Computer Science 2011-02-18 T. G. Sultanov , A. M. Sukhov