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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

Redundant storage maintains the performance of distributed systems under various forms of uncertainty. This paper considers the uncertainty in node access and download service. We consider two access models under two download service…

Information Theory · Computer Science 2021-08-09 Pei Peng , Moslem Noori , Emina Soljanin

Recent years mesh-based Peer-to-Peer live streaming has become a promising way for service providers to offer high-quality live video streaming service to Internet users. In this paper, we make a detailed study on modeling and performance…

Networking and Internet Architecture · Computer Science 2014-02-06 Jianwei Zhang , Wei Xing , Yongchao Wang , Dongming Lu

We consider a load balancing system comprised of a fixed number of single server queues, operating under the well-known Join-the-Shortest Queue policy, and where jobs/customers are impatient and abandon if they do not receive service after…

Probability · Mathematics 2023-04-05 Prakirt Raj Jhunjhunwala , Martin Zubeldia , Siva Theja Maguluri

We consider a single server queue which has a threshold to change its arrival process and service speed by its queue length, which is referred to as a two-level single server queue. This model is motivated by an energy saving problem for a…

Probability · Mathematics 2025-05-28 Masakiyo Miyazawa

Motivated by demand prediction for the custodial prison population in England and Wales, this paper describes an approach to the study of service systems using infinite server queues, where the system has non-empty initial state and the…

Applications · Statistics 2023-02-23 Nikki Sonenberg , Victoria Volodina , Peter G. Challenor , Jim Q. Smith

We consider a service system model primarily motivated by the problem of efficient assignment of virtual machines to physical host machines in a network cloud, so that the number of occupied hosts is minimized. There are multiple input…

Optimization and Control · Mathematics 2012-06-05 Alexander Stolyar

Collision models describe the sequential interactions of a system with independent ancillas. Motivated by recent advances in neutral atom arrays, in this Letter we investigate a model where the ancillas are governed by a classical…

Quantum Physics · Physics 2025-05-01 Guilherme Fiusa , Gabriel T. Landi

In this paper we consider the problem of maximum throughput for tandem queueing system. We modeled this system as a Quasi-Birth-Death process. In order to do this we named level the number of customers waiting in the first buffer (including…

Performance · Computer Science 2015-12-21 Daniel Marian Merezeanu , Daniela Andone

We examine a generalised queuing model which we call the G/G/n/G/+ model, which encompasses the G/G/n and G/G/n/s models as special cases. Our model accommodates useful generalisations in user behaviour and limitations on the facilities for…

Computation · Statistics 2021-11-16 Ben O'Neill

Motivated by applications such as urban traffic control and make-to-order systems, we study a fluid model of a single-server, on-off system that can accommodate multiple queues. The server visits each queue in order: when a queue is served,…

Computer Science and Game Theory · Computer Science 2025-04-01 Yanwei Sun , Zhe Liu , Chiwei Yan

Today, network devices share buffer across priority queues to avoid drops during transient congestion. While cost-effective most of the time, this sharing can cause undesired interference among seemingly independent traffic. As a result,…

Networking and Internet Architecture · Computer Science 2021-05-25 Maria Apostolaki , Vamsi Addanki , Manya Ghobadi , Laurent Vanbever

We propose a new model for peer-to-peer networking which takes the network bottlenecks into account beyond the access. This model can cope with key features of P2P networking like degree or locality constraints together with the fact that…

Networking and Internet Architecture · Computer Science 2013-04-25 François Baccelli , Fabien Mathieu , Ilkka Norros , Rémi Varloot

This paper studies an infinite buffer single server queueing model with exponentially distributed service times and negative arrivals. The ordinary (positive) customers arrive in batches of random size according to renewal arrival process,…

Probability · Mathematics 2023-01-13 U. C. Gupta , Nitin Kumar , F. P. Barbhuiya

Increasing storage sizes and WiFi/Bluetooth capabilities of mobile devices have made them a good platform for opportunistic content sharing. In this work we propose a network model to study this in a setting with two characteristics: 1.…

Networking and Internet Architecture · Computer Science 2014-09-25 Tiance Wang , Pan Hui , Sanjeev Kulkarni , Paul Cuff

We consider many-server queueing systems with heterogeneous exponential servers and renewal arrivals. The service rate of each server is a random variable drawn from a given distribution. We develop a framework for analyzing the heavy…

Probability · Mathematics 2019-05-13 Burak Büke , Wenyi Qin

Epidemic-style diffusion schemes have been previously proposed for achieving peer-to-peer live streaming. Their performance trade-offs have been deeply analyzed for homogeneous systems, where all peers have the same upload capacity.…

Networking and Internet Architecture · Computer Science 2009-09-10 Fabien Mathieu , Diego Perino

This paper considers a network of infinite-server queues with the special feature that, triggered by specific events, the network population vector may undergo a linear transformation (a `multiplicative transition'). For this model we…

Probability · Mathematics 2017-11-15 Dieter Fiems , Michel Mandjes , Brendan Patch

While sharing resources the efficiency is substantially degraded as a result of the scarceness of availability of the requested resources in a multiclient support manner. These resources are often aggravated by many factors like the…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-09-24 Constandinos X. Mavromoustakis , Helen D. Karatza

It allows any two parties that are either both on the same network or connected via the internet to transfer the contents of a file based on a particular sequence of words. Peer discovery happens via multicast DNS if both peers are on the…

Networking and Internet Architecture · Computer Science 2023-05-04 Dennis Trautwein , Moritz Schubotz , Bela Gipp
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