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The single server queue with multiple customer types and semi-Markovian service times, sometimes referred to as the $M/SM/1$ queue, has been well-studied since its introduction by Neuts in 1966. In this paper, we apply an extension of this…

Probability · Mathematics 2018-12-07 Abhishek , Marko Boon , Rudesindo Núñez-Queija

We propose a model for heterogeneous cellular networks assuming a space-time Poisson process of call arrivals, independently marked by data volumes, and served by different types of base stations (having different transmission powers)…

Networking and Internet Architecture · Computer Science 2015-10-15 Bartlomiej Blaszczyszyn , Miodrag Jovanovic , Mohamed Kadhem Karray

In this paper, we first carry out to our knowledge the first in-depth characterization of control-plane traffic, using a real-world control-plane trace for 37,325 UEs sampled at a real-world LTE Mobile Core Network (MCN). Our analysis shows…

Networking and Internet Architecture · Computer Science 2022-12-27 Jiayi Meng , Jingqi Huang , Y. Charlie Hu , Yaron Koral , Xiaojun Lin , Muhammad Shahbaz , Abhigyan Sharma

We consider a network of event-based systems that use a shared wireless medium to communicate with their respective controllers. These systems use a contention resolution mechanism to arbitrate access to the shared network. We identify…

Systems and Control · Computer Science 2014-01-21 Chithrupa Ramesh , Henrik Sandberg , Karl H. Johansson

We study a single-lane traffic model that is based on human driving behavior. The outflow from a traffic jam self-organizes to a critical state of maximum throughput. Small perturbations of the outflow far downstream create emergent traffic…

adap-org · Physics 2009-10-28 Kai Nagel , Maya Paczuski

We study message transport on a $1-d$ ring of nodes and randomly distributed hubs. Messages are deposited on the network at a constant rate. When the rate at which messages are deposited on the lattice is very high, messages start…

Statistical Mechanics · Physics 2009-10-20 Satyam Mukherjee , Gautam Mukherjee , Neelima Gupte

In this paper, we consider coordinated movement of a network of vehicles consisting of a bounded number of malicious agents, that is, vehicles must reach consensus in longitudinal position and a common predefined velocity. The motions of…

Multiagent Systems · Computer Science 2021-07-30 Mostafa Safi , Seyed Mehran Dibaji , Mohammad Pirani

In Industrial Control Systems (ICS/SCADA), machine to machine data traffic is highly periodic. Previous work showed that in many cases, it is possible to create an automata-based model of the traffic between each individual Programmable…

Cryptography and Security · Computer Science 2018-08-16 Chen Markman , Avishai Wool , Alvaro A. Cardenas

Modern language models rely on the transformer architecture and attention mechanism to perform language understanding and text generation. In this work, we study learning a 1-layer self-attention model from a set of prompts and associated…

Machine Learning · Computer Science 2024-02-22 M. Emrullah Ildiz , Yixiao Huang , Yingcong Li , Ankit Singh Rawat , Samet Oymak

Current approaches for collision avoidance and space traffic management face many challenges, mainly due to the continuous increase in the number of objects in orbit and the lack of scalable and automated solutions. To avoid catastrophic…

Machine Learning · Computer Science 2023-11-17 Marta Guimarães , Cláudia Soares , Chiara Manfletti

This paper considers the time evolution of a queue that is embedded in a Poisson point process of moving wireless interferers. The queue is driven by an external arrival process and is subject to a time-varying service process that is a…

Information Theory · Computer Science 2021-04-14 Nithin S. Ramesan , François Baccelli

We consider a generalized version in continuous time of the parking problem of Knuth. Files arrive following a Poisson point process and are stored on a hardware identified with the real line. We specify the distribution of the space of…

Probability · Mathematics 2008-01-24 Vincent Bansaye

By analyzing empirical time headway distributions of traffic flow, a hypothesis about the underlying stochastic process can be drawn. The results found lead to the assumption that the headways $T_i$ of individual vehicles follow a linear…

Other Condensed Matter · Physics 2007-05-23 Peter Wagner

In this paper, a practical model for non-stationary Vehicle-to-Vehicle (V2V) multiple-input multiple-output (MIMO) channels is proposed. The new model considers more accurate output phase of Doppler frequency and is simplified by the Taylor…

Signal Processing · Electrical Eng. & Systems 2020-02-04 Weidong Li , Qiuming Zhu , Cheng-Xiang Wang , Fei Bai , Xiaomin Chen , Dazhuan Xu

The present paper proposes a stochastic model of the traffic flow. This model has a discrete set of states and the continuous time. The model is a generalization of the discrete stochastis model that has been considered in a previous paper…

Other Condensed Matter · Physics 2007-05-23 A. P. Buslaev , A. G. Tatashev , M. V. Yashina

We consider a Spatial Markov Chain model for the spread of viruses. The model is based on the principle to represent a graph connecting nodes, which represent humans. The vertices between the nodes represent relations between humans. In…

Populations and Evolution · Quantitative Biology 2020-04-14 Fred Vermolen

This article introduces autocorrelograms for time series of point processes. Such time series usually arise when a longer temporal or spatio-temporal point process is sliced into smaller time units; for example, when an annual process is…

Methodology · Statistics 2025-08-25 Daniel Gervini

In small cell networks, high mobility of users results in frequent handoff and thus severely restricts the data rate for mobile users. To alleviate this problem, we propose to use heterogeneous, two-tier network structure where static users…

Networking and Internet Architecture · Computer Science 2020-07-22 Arpan Chattopadhyay , Bartłomiej Błaszczyszyn , Eitan Altman

A significant portion of the 5th generation of wireless networks will operate in the mm-wave bands. One of the several challenges associated with mm-wave propagation is to overcome shadowing due to signal blockage caused by environmental…

Information Theory · Computer Science 2019-10-01 Swapnil Mhaske , Predrag Spasojevic , Ahsan Aziz

Many real-world objects can be modeled as a stream of events on the nodes of a graph. In this paper, we propose a class of graphical event models named temporal point process graphical models for representing the temporal dependencies among…

Methodology · Statistics 2021-10-25 Yalong Lyu , Huiyuan Wang , Wei Lin
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