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Related papers: Experimenting under Stochastic Congestion

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In this thesis, we propose and analyze a multi-server model that captures a performance trade-off between centralized and distributed processing. In our model, a fraction $p$ of an available resource is deployed in a centralized manner…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-23 Kuang Xu

This work studies queues in a Euclidean space. Consider $N$ servers that are distributed uniformly in $[0,1]^d$. Customers arrive at the servers according to independent stationary processes. Upon arrival, they probabilistically decide…

Probability · Mathematics 2024-09-05 B. R. Vinay Kumar , Lasse Leskelä

Stochastic Spatio-Temporal processes are prevalent across domains ranging from modeling of plasma to the turbulence in fluids to the wave function of quantum systems. This letter studies a measure-theoretic description of such systems by…

Optimization and Control · Mathematics 2021-05-25 George I. Boutselis , Ethan N. Evans , Marcus A. Pereira , Evangelos A. Theodorou

Stochastic models in which agents interact with their neighborhood according to a network topology are a powerful modeling framework to study the emergence of complex dynamic patterns in real-world systems. Stochastic simulations are often…

Social and Information Networks · Computer Science 2021-01-27 Gerrit Großmann , Luca Bortolussi , Verena Wolf

This paper considers a parallel system of queues fed by independent arrival streams, where the service rate of each queue depends on the number of customers in all of the queues. Necessary and sufficient conditions for the stability of the…

Probability · Mathematics 2010-01-12 Sem Borst , Matthieu Jonckheere , Lasse Leskelä

We consider experimentation in the presence of non-stationarity, inter-unit (spatial) interference, and carry-over effects (temporal interference), where we wish to estimate the global average treatment effect (GATE), the difference between…

Statistics Theory · Mathematics 2025-03-28 Su Jia , Nathan Kallus , Christina Lee Yu

In this paper, we consider queueing systems where the dynamics are non-stationary and state-dependent. For performance analysis of these systems, fluid and diffusion models have been typically used. Although they are proven to be…

Probability · Mathematics 2016-09-08 Young Myoung Ko , Natarajan Gautam

Two-sided marketplace platforms often run experiments to test the effect of an intervention before launching it platform-wide. A typical approach is to randomize individuals into the treatment group, which receives the intervention, and the…

Methodology · Statistics 2021-04-27 Hannah Li , Geng Zhao , Ramesh Johari , Gabriel Y. Weintraub

In this work, we consider the case where a source with bursty traffic can adjust the transmission duration in order to increase the reliability. The source is equipped with a queue in order to store the arriving packets. We model the system…

Information Theory · Computer Science 2018-09-11 Nikolaos Pappas

This paper presents a stochastic, model predictive control (MPC) algorithm that leverages short-term probabilistic forecasts for dispatching and rebalancing Autonomous Mobility-on-Demand systems (AMoD, i.e. fleets of self-driving vehicles).…

Systems and Control · Computer Science 2018-05-07 Matthew Tsao , Ramon Iglesias , Marco Pavone

Balancing traffic flow by influencing drivers' route choices to alleviate congestion is becoming increasingly more appealing in urban traffic planning. Here, we introduce a discrete dynamical model comprising users who make their own…

Physics and Society · Physics 2020-09-09 Bo Li , David Saad , Andrey Y. Lokhov

Learning for control in repeated tasks allows for well-designed experiments to gather the most useful data. We consider the setting in which we use a data-driven controller that does not have access to the true system dynamics. Rather, the…

Systems and Control · Electrical Eng. & Systems 2025-02-21 Sean Anderson , Katie Byl , João P. Hespanha

In data centers, the nature of the composite bursty traffic along with the small bandwidth-delay product and switch buffers lead to several congestion problems that are not handled well by traditional congestion control mechanisms such as…

Networking and Internet Architecture · Computer Science 2020-12-02 Ahmed M. Abdelmoniem , Brahim Bensaou

Models for the dynamics of congestion control generally involve systems of coupled differential equations. Universally, these models assume that traffic sources saturate the maximum transmissions allowed by the congestion control method.…

Networking and Internet Architecture · Computer Science 2024-03-25 Harvinder Lehal , Natchanon Luangsomboon , Jörg Liebeherr

An efficient system of a queue control and regulation in public spaces is very important in order to avoid the traffic jams and to improve the customer satisfaction. This article offers a detailed road map based on a merger of intelligent…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Abhijeet Kumar , Unnati Singh , Rajdeep Chatterjee , Tathagata Bandyopadhyay

We consider the problem of minimizing the delay of jobs moving through a directed graph of service nodes. In this problem, each node may have several links and is constrained to serve one link at a time. As jobs move through the network,…

Networking and Internet Architecture · Computer Science 2019-03-08 Hsu-Chieh Hu , Stephen F. Smith

The residual queue during a given study period (e.g., peak hour) is an important feature that should be considered when solving a traffic assignment problem under equilibrium for strategic traffic planning. Although studies have focused…

Systems and Control · Electrical Eng. & Systems 2025-01-14 Hao Fu , William H. K. Lam , Wei Ma , Yuxin Shi , Rui Jiang , Huijun Sun , Ziyou Gao

A new public conveyance model applicable to buses and trains is proposed in this paper by using stochastic cellular automaton. We have found the optimal density of vehicles, at which the average velocity becomes maximum, significantly…

Physics and Society · Physics 2007-09-19 A. Tomoeda , K. Nishinari , D. Chowdhury , A. Schadschneider

We consider a stochastic fluid queue served by a constant rate server and driven by a process which is the local time of a certain Markov process. Such a stochastic system can be used as a model in a priority service system, especially when…

Probability · Mathematics 2007-09-11 Takis Konstantopoulos , Andreas Kyprianou , Marina Sirvio , Paavo Salminen

In road traffic networks, large traffic volumes may lead to extreme delays. These severe delays are caused by the fact that, whenever the maximum capacity of a road is approached, speeds drop rapidly. Therefore, the focus in this paper is…

Optimization and Control · Mathematics 2023-06-08 Nikki Levering , Rudesindo Núñez-Queija