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We consider a general polling model with $N$ stations. The stations are served exhaustively and in cyclic order. Once a station queue falls empty, the server does not immediately switch to the next station. Rather, it waits at the station…

Probability · Mathematics 2010-09-01 Frank Aurzada , Sergej Beck , Michael Scheutzow

We examine deterministic broadcasting on multiple-access channels for a scenario when packets are injected continuously by an adversary to the buffers of the devices at rate $\rho$ packages per round. The aim is to maintain system…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-19 Elijah Hradovich , Marek Klonowski , Dariusz R. Kowalski

In modern data center networks, thousands of hosts contend for shared link capacity; the scale of these systems makes centralized scheduling impractical. This article models such scheduling as a bipartite matching problem under…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-14 Moonmoon Mohanty , Gautham Bolar , Preetam Patil , Ayalvadi Ganesh , Jean-Francois Chamberland , Parimal Parag

We consider scheduling in a quantum switch with stochastic entanglement generation, finite quantum memories, and decoherence. The objective is to design a scheduling algorithm with polynomial-time computational complexity that stabilizes a…

Optimization and Control · Mathematics 2026-03-31 R. Srikant

Certain new ascendant data center workloads can absorb some degradation in network service, not needing fully reliable data transport and/or their fair-share of network bandwidth. This opens up opportunities for superior network and…

Networking and Internet Architecture · Computer Science 2022-08-18 Simon Kassing , Vojislav Dukic , Ce Zhang , Ankit Singla

This paper is motivated by emerging edge computing applications in which generated data are pre-processed at the source and then transmitted to an edge server. In such a scenario, there is typically a tradeoff between the amount of…

Information Theory · Computer Science 2019-07-02 Peng Zou , Omur Ozel , Suresh Subramaniam

We study computer systems with transactions executed on a set of shared objects. Transactions arrive continually subjects to constrains that are framed as an adversarial model and impose limits on the average rate of transaction generation…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-16 Costas Busch , Bogdan S. Chlebus , Dariusz R. Kowalski , Pavan Poudel

The fluid model has proven to be one of the most effective tools for the analysis of stochastic queueing networks, specifically for the analysis of stability. It is known that stability of a fluid model implies positive (Harris) recurrence…

Probability · Mathematics 2007-05-23 David Gamarnik , John Hasenbein

It is interesting and challenging to study double-ended queues with First-Come-First-Match discipline under customers' impatient behavior and non-Poisson inputs. The system stability can be guaranteed by the customers' impatient behavior,…

Probability · Mathematics 2022-04-29 Heng-Li Liu , Quan-Lin Li , Yan-Xia Chang , Chi Zhang

In this paper, we study the stability of light traffic achieved by a scheduling algorithm which is suitable for heterogeneous traffic networks. Since analyzing a scheduling algorithm is intractable using the conventional mathematical tool,…

Networking and Internet Architecture · Computer Science 2016-04-07 Rukhsana Ruby , Victor C. M. Leung

This paper considers a retrial queueing model for a base station in cellular networks where fresh calls and handover calls are available. Fresh calls are initiated from the cell of the base station. On the other hand, a handover call has…

Performance · Computer Science 2014-05-09 Kazuki Kajiwara , Tuan Phung-Duc

We study large-scale systems operating under the JSQ$(d)$ policy in the presence of stringent task-server compatibility constraints. Consider a system with $N$ identical single-server queues and $M(N)$ task types, where each server is able…

Probability · Mathematics 2020-08-25 Daan Rutten , Debankur Mukherjee

We study and compare the Shannon capacity region and the stable throughput region for a random access system in which source nodes multicast their messages to multiple destination nodes. Under an erasure channel model which accounts for…

Information Theory · Computer Science 2007-09-20 Brooke Shrader , Anthony Ephremides

We consider a system of processor-sharing queues with state-dependent service rates. These are allocated according to balanced fairness within a polymatroid capacity set. Balanced fairness is known to be both insensitive and…

Performance · Computer Science 2019-10-25 Thomas Bonald , Céline Comte , Virag Shah , Gustavo de Veciana

In this report, we study the packet delay as a QoS metric in CR systems. The packet delay includes the queue waiting time and the service time. In this work, we study the effect of both the scheduling and the power allocation algorithms on…

Information Theory · Computer Science 2016-01-05 Ahmed Ewaisha

This paper provides proofs of the rate stability, Harris recurrence, and epsilon-optimality of CSMA algorithms where the backoff parameter of each node is based on its backlog. These algorithms require only local information and are easy to…

Information Theory · Computer Science 2009-07-08 Libin Jiang , Devavrat Shah , Jinwoo Shin , Jean Walrand

The backpressure algorithm has been widely used as a distributed solution to the problem of joint rate control and routing in multi-hop data networks. By controlling a parameter $V$ in the algorithm, the backpressure algorithm can achieve…

Networking and Internet Architecture · Computer Science 2017-01-18 Hao Yu , Michael J. Neely

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…

Probability · Mathematics 2009-12-15 N. S. Walton

In this paper, we consider a new queueing model where queues balance themselves according to a mean field interaction with a time delay. Unlike other work with delayed information our model considers multi-server queues with customer…

Dynamical Systems · Mathematics 2021-12-14 Philip Doldo , Jamol Pender

To accommodate Machine-type Communication (MTC) service, the wireless network needs to support low-delay and low-jitter data transmission, realizing delay deterministic wireless network. This paper analyzes the delay and jitter of the…

Performance · Computer Science 2023-10-12 Zhiqing Wei , Ling Zhang , Gaofeng Nie , Huici Wu , Ning Zhang , Zeyang Meng , Zhiyong Feng