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We investigate the long-run behavior of single-server queues with Hawkes arrivals and general service distributions and related optimization problems. In detail, utilizing novel coupling techniques, we establish finite moment bounds for the…

Probability · Mathematics 2023-11-14 Xinyun Chen , Guiyu Hong

Service platforms must determine rules for matching heterogeneous demand (customers) and supply (workers) that arrive randomly over time and may be lost if forced to wait too long for a match. Our objective is to maximize the cumulative…

Optimization and Control · Mathematics 2023-12-19 Angelos Aveklouris , Levi DeValve , Maximiliano Stock , Amy R. Ward

In this paper we consider a single-server cyclic polling system. Between visits to successive queues, the server is delayed by a random switch-over time. The order in which customers are served in each queue is determined by a priority…

Probability · Mathematics 2014-08-05 Marko Boon , Ivo Adan , Onno Boxma

We study a simple rate control scheme for a multiclass queuing network for which customers are partitioned into distinct flows that are queued separately at each station. The control scheme discards customers that arrive to the network…

Probability · Mathematics 2013-07-16 John Musacchio , Jean Walrand

In recent years there has been a substantial increase in the availability of datasets which contain information about the location and timing of an event or group of events and the application of methods to analyse spatio-temporal datasets…

Methodology · Statistics 2019-10-02 Nik Lomax , Nick Malleson , Le-Minh Kieu

The packet is the fundamental unit of transportation in modern communication networks such as the Internet. Physical layer scheduling decisions are made at the level of packets, and packet-level models with exogenous arrival processes have…

Networking and Internet Architecture · Computer Science 2010-03-05 Ciamac Moallemi , Devavrat Shah

Multi-class queueing networks (McQNs) extend the classical concept of Jackson network by allowing jobs of different classes to visit the same server. While such a generalization seems rather natural, from a structural perspective there is a…

Probability · Mathematics 2018-12-13 Haralambie Leahu , Michel Mandjes

In this paper, we propose a simple yet effective method to represent point clouds as sets of samples drawn from a cloud-specific probability distribution. This interpretation matches intrinsic characteristics of point clouds: the number of…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Michał Stypułkowski , Kacper Kania , Maciej Zamorski , Maciej Zięba , Tomasz Trzciński , Jan Chorowski

In this note, we propose a case study of freeway traffic flow modeled as a hybrid system. We describe two general classes of networks that model flow along a freeway with merging onramps. The admission rate of traffic flow from each onramp…

Systems and Control · Computer Science 2018-03-02 Samuel Coogan , Murat Arcak

This paper considers Gaussian flows multiplexed in a queueing network. A single node being a useful but often incomplete setting, we examine more advanced models. We focus on a (two-node) tandem queue, fed by a large number of Gaussian…

Probability · Mathematics 2007-05-23 Michel Mandjes , Miranda van Uitert

Multi-server queueing systems describe situations in which users require service from multiple parallel servers. Examples include check-in lines at airports, waiting rooms in hospitals, queues in contact centers, data buffers in wireless…

Probability · Mathematics 2019-07-30 Johan S. H. van Leeuwaarden , Britt W. J. Mathijsen , Bert Zwart

We analyze opportunistic schemes for transmission scheduling from one of $n$ homogeneous queues whose channel states fluctuate independently. Considered schemes consist of the LCQ policy, which transmits from a longest connected queue in…

Performance · Computer Science 2008-10-02 Murat Alanyali , Maxim Dashouk

The aim of this review paper is to bring into light a potential area i.e., web services supply chains for research by analyzing the existing state of art in this. It is observed from the review process that there seems to be much less work…

Systems and Control · Computer Science 2012-04-06 V. Krithika , Dr. Arshinder Kaur , Dr. K. Chandra Sekaran

Recent development of peer-to-peer (P2P) services (e.g. streaming, file sharing, and storage) systems introduces a new type of queue systems that receive little attention before, where both job and server arrive and depart randomly. Current…

Performance · Computer Science 2016-05-11 Taoyu Li , Minghua Chen , Tony Lee , Xing Li

After a short report of results on infinite servers queues systems, focusing on its busy period, using networks of queues with infinite servers nodes a model is constructed to study a two echelons repair system. These repair systems may be…

Probability · Mathematics 2021-10-06 Manuel Alberto M. Ferreira

Queuing network control determines the allocation of scarce resources to manage congestion, a fundamental problem in manufacturing, communications, and healthcare. Compared to standard RL problems, queueing problems are distinguished by…

Machine Learning · Computer Science 2024-10-10 Haozhe Chen , Ang Li , Ethan Che , Tianyi Peng , Jing Dong , Hongseok Namkoong

This paper studies statistical inference in a network of infinite-server queues, with the aim of estimating the underlying parameters (routing matrix, arrival rates, parameters pertaining to the service times) using observations of the…

Probability · Mathematics 2025-06-10 Hritika Gupta , Michel Mandjes , Liron Ravner , Jiesen Wang

Consider a single server queue with renewal arrivals and i.i.d. service times in which the server operates under a processor sharing service discipline. To describe the evolution of this system, we use a measure valued process that keeps…

Probability · Mathematics 2007-05-23 H. Christian Gromoll

Percolation theory has been largely used in the study of structural properties of complex networks such as the robustness, with remarkable results. Nevertheless, a purely topological description is not sufficient for a correct…

Statistical Mechanics · Physics 2016-08-31 Luca Dall'Asta

We study a class of dynamical multi-commodity flow networks in transportation networks. These are modeled as dynamical systems describing the evolution of the densities of a number of different commodities across the cells of a…

Dynamical Systems · Mathematics 2025-08-26 Davide Sipione , Giacomo Como
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