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The paper is concerned with the interplay between network structure and traffic dynamics in a communications network, from the viewpoint of end-to-end performance of packet transfer. We use a model of network generation that allows the…

Disordered Systems and Neural Networks · Physics 2016-11-18 David Arrowsmith , Mario di Bernardo , Francesco Sorrentino

We consider a queueing system with $n$ parallel queues operating according to the so-called "supermarket model" in which arriving customers join the shortest of $d$ randomly selected queues. Assuming rate $n\lambda_{n}$ Poisson arrivals and…

Probability · Mathematics 2017-01-19 Patrick Eschenfeldt , David Gamarnik

Mobile edge computing (MEC) is a new paradigm that provides cloud computing services at the edge of networks. To achieve better performance with limited computing resources, peer offloading between cooperative edge servers (e.g. MEC-…

Networking and Internet Architecture · Computer Science 2020-09-04 Xingqiu He , Sheng Wang

This paper considers a communication system where a source sends time-sensitive information to its destination. We assume that both arrival and service processes of the messages are memoryless and the source has a single server with no…

Information Theory · Computer Science 2022-12-09 Ashirwad Sinha , Praful D. Mankar , Nikolaos Pappas , Harpreet S. Dhillon

The spatial-temporal imbalance between supply and demand in shared micro-mobility services often leads to observed demand being censored, resulting in incomplete records of the underlying real demand. This phenomenon undermines the…

Applications · Statistics 2025-10-09 Binyu Yang , Jinxiao Du , Junlin He , Shi An , Wei Ma

In a class of methods for measurement of available path capacity and other capacity-related metrics in a network, trains of probe packets are transmitted from a sender to a receiver across a network path, and the sequences of time stamps at…

Networking and Internet Architecture · Computer Science 2015-05-26 Svante Ekelin , Andreas Johnsson , Christofer Flinta

Message-passing methods provide a powerful approach for calculating the expected size of cascades either on random networks (e.g., drawn from a configuration-model ensemble or its generalizations) asymptotically as the number $N$ of nodes…

Physics and Society · Physics 2024-01-31 James P. Gleeson , Mason A. Porter

This paper examines a continuous-time routing system with general interarrival and service time distributions, operating under the join-the-shortest-queue and power-of-two-choices policies. Under a weaker set of assumptions than those…

Probability · Mathematics 2025-03-28 Jin Guang , Yaosheng Xu , J. G. Dai

I develop a continuous-time model in which an incumbent batch-service provider faces stochastic passenger arrivals and must decide when to dispatch under the threat of customer defection to a faster entrant. The incumbent's problem is…

Theoretical Economics · Economics 2025-05-28 Md Mahadi Hasan

In a molecular communication network, transmitters may encode information in concentration or frequency of signalling molecules. When the signalling molecules reach the receivers, they react, via a set of chemical reactions or a molecular…

Molecular Networks · Quantitative Biology 2020-07-23 Chun Tung Chou

With the advent of social networks and the web, the graph sizes have grown too large to fit in main memory precipitating the need for alternative approaches for an efficient, scalable evaluation of queries on graphs of any size. Here, we…

Databases · Computer Science 2019-05-15 Soumyava Das , Abhishek Santra , Jay Bodra , Sharma Chakravarthy

Admission control can be employed to avoid congestion in queueing networks subject to overload. In distributed networks the admission decisions are often based on imperfect measurements on the network state. This paper studies how the lack…

Probability · Mathematics 2007-08-22 Lasse Leskelä

Inspired by quantum switches, we consider a discrete-time multi-way matching system with two classes of arrivals: requests for entangled pair of qubits between two nodes, and qubits from each node that can be used to serve the requests. An…

Performance · Computer Science 2023-10-05 Martin Zubeldia , Prakirt R. Jhunjhunwala , Siva Theja Maguluri

Estimation of the service time distribution in the discrete-time $GI/G/\infty$-queue based solely on information on the arrival and departure processes is considered. The focus is put on the estimation approach via the so called "sequence…

Statistics Theory · Mathematics 2014-09-19 Sebastian Schweer , Cornelia Wichelhaus

We consider the transmission of packets across a lossy end-to-end network path so as to achieve low in-order delivery delay. This can be formulated as a decision problem, namely deciding whether the next packet to send should be an…

Networking and Internet Architecture · Computer Science 2018-12-17 Pablo Garrido , Douglas Leith , Ramon Aguero

We consider a load balancing system consisting of $n$ single-server queues working in parallel, with heterogeneous service rates. Jobs arrive to a central dispatcher, which has to dispatch them to one of the queues immediately upon arrival.…

Performance · Computer Science 2025-10-17 Yishun Luo , Martin Zubeldia

For the M/M/1+M model at the law-of-large-numbers scale, the long run reneging count per unit time does not depend on the individual (i.e., per customer) reneging rate. This paradoxical statement has a simple proof. Less obvious is a large…

Probability · Mathematics 2020-04-14 Rami Atar , Amarjit Budhiraja , Paul Dupuis , Ruoyu Wu

Message-passing models of distributed computing vary along numerous dimensions: degree of synchrony, kind of faults, number of faults... Unfortunately, the sheer number of models and their subtle distinctions hinder our ability to design a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-13 Adam Shimi , Aurélie Hurault , Philippe Quéinnec

We introduce a novel single-server queue with general retrial times and event-dependent arrivals. This is a versatile model for the study of service systems, in which the server needs a non-negligible time to retrieve waiting customers upon…

Probability · Mathematics 2022-03-08 Ioannis Dimitriou

Switched queueing networks model wireless networks, input queued switches and numerous other networked communications systems. For single-hop networks, we consider a {($\alpha,g$)-switch policy} which combines the MaxWeight policies with…

Systems and Control · Computer Science 2014-04-11 Neil Walton