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We consider a service system where agents are invited on-demand. Customers arrive exogenously as a Poisson process and join a customer queue upon arrival if no agent is available. Agents decide to accept or decline invitations after some…

Probability · Mathematics 2015-10-27 Guodong Pang , Alexander L. Stolyar

We establish sufficient conditions for the existence of moments of the steady-state queue in polling systems operating under the binomial-exhaustive policy (BEP). We assume that the server switches between the different buffers according to…

Probability · Mathematics 2020-09-10 Yue Hu , Jing Dong , Ohad Perry

In this paper, we consider the parameter estimation problem over sensor networks in the presence of quantized data and directed communication links. We propose a two-stage algorithm aiming at achieving the centralized sample mean estimate…

Systems and Control · Computer Science 2015-07-27 Shanying Zhu , Yeng Chai Soh , Lihua Xie

Predicting travel times of vehicles in urban settings is a useful and tangible quantity of interest in the context of intelligent transportation systems. We address the problem of travel time prediction in arterial roads using data sampled…

Artificial Intelligence · Computer Science 2017-11-17 Avinash Achar , Venkatesh Sarangan , R Rohith , Anand Sivasubramaniam

A general information transmission model, under independent and identically distributed Gaussian codebook and nearest neighbor decoding rule with processed channel output, is investigated using the performance metric of generalized mutual…

Information Theory · Computer Science 2019-08-23 Wenyi Zhang , Yizhu Wang , Cong Shen , Ning Liang

Obtaining estimates of the convergence rate of the regenerating process $Q(t)$ whose value at time $t$ is equal to the number of claims in the system $ M \backslash G \backslash \infty $ at this moment, to the limit (stationary) regime.

Probability · Mathematics 2017-11-21 Eleonora Golovastova

A traffic performance measurement system, PeMS, currently functions as a statewide repository for traffic data gathered by thousands of automatic sensors. It has integrated data collection, processing and communications infrastructure with…

Methodology · Statistics 2008-12-18 Peter J. Bickel , Chao Chen , Jaimyoung Kwon , John Rice , Erik van Zwet , Pravin Varaiya

The spectrum and coherency are useful quantities for characterizing the temporal correlations and functional relations within and between point processes. This paper begins with a review of these quantities, their interpretation and how…

Biological Physics · Physics 2007-05-23 M. R. Jarvis , P. P. Mitra

When designing a message transmission system, from the point of view of making sure that the information transmitted is as fresh as possible, two rules of thumb seem reasonable: use small buffers and adopt a last-in-first-out policy. In…

Performance · Computer Science 2021-10-19 George Kesidis , Takis Konstantopoulos , Michael A. Zazanis

This article examines the queueing performance of communication systems that transmit encoded data over unreliable channels. A fading formulation suitable for wireless environments is considered where errors are caused by a discrete channel…

Information Theory · Computer Science 2013-09-16 Fatemeh Hamidi-Sepehr , Henry D. Pfister , Jean-Francois Chamberland

In this paper we present an information theoretic approach to stochastic optimal control problems for systems with compound Poisson noise. We generalize previous work on information theoretic path integral control to discontinuous dynamics…

Optimization and Control · Mathematics 2019-07-03 Ziyi Wang , Grady Williams , Evangelos A. Theodorou

We consider queueing models, where customers arrive according to a continuous-time binomial process on a finite interval. In this arrival process, a total of $K$ customers arrive in the finite time interval $[0,T]$, where arrival times of…

Probability · Mathematics 2024-12-10 Kaito Hayashi , Yoshiaki Inoue , Tetsuya Takine

Entropy rate of sequential data-streams naturally quantifies the complexity of the generative process. Thus entropy rate fluctuations could be used as a tool to recognize dynamical perturbations in signal sources, and could potentially be…

Information Theory · Computer Science 2014-03-24 Ishanu Chattopadhyay , Hod Lipson

Connected vehicles disseminate detailed data, including their position and speed, at a very high frequency. Such data can be used for accurate real-time analysis, prediction and control of transportation systems. The outstanding challenge…

Applications · Statistics 2018-11-02 Negin Alemazkoor , Hadi Meidani

Developments in sensor technologies, especially emerging connected and autonomous vehicles, facilitate better queue length (QL) measurements on signalized intersection approaches in real time. Currently there are very limited methods that…

Systems and Control · Electrical Eng. & Systems 2020-06-12 Gurcan Comert , Mecit Cetin , Negash Begashaw

Consider a first-come, first-served single server queue with an initial workload $x>0$ and customers who arrive according to an inhomogeneous Poisson process with rate function $\lambda:[0,\infty)\rightarrow[0,\lambda_h ]$ for some…

Probability · Mathematics 2025-03-18 Shreehari Anand Bodas , Royi Jacobovic

We study a general $k$ dimensional infinite server queues process with Markov switching, Poisson arrivals and where the service times are fat tailed with index $\alpha\in (0,1)$. When the arrival rate is sped up by a factor $n^\gamma$, the…

Probability · Mathematics 2021-06-21 Landy Rabehasaina

This paper considers the problem of obtaining bounded time-average expected queue sizes in a single-queue system with a partial-feedback structure. Time is slotted; in slot $t$ the transmitter chooses a rate $V(t)$ from a continuous…

Systems and Control · Electrical Eng. & Systems 2026-02-06 Mevan Wijewardena , Kamiar Asgari , Michael J. Neely

In this study, we consider multi-class multi-server asymmetric queueing systems consisting of $N$ queues on one side and $K$ servers on the other side, where jobs randomly arrive in queues at each time. The service rate of each job-server…

Machine Learning · Statistics 2025-05-07 Jung-hun Kim , Min-hwan Oh

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