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We address a single server queue control problem (QCP) in heavy traffic originating from Lee and Weerasinghe (2011). The state process represents the offered waiting time, the customer arrival has a state-dependent intensity, and the…

Optimization and Control · Mathematics 2025-07-18 Bowen Xie , Haoyu Yin

Phase transition from a free-flow phase to a jammed phase is an important feature of traffic networks. We study this transition in the case of a simple square lattice network for different values of data posting rate $(\rho)$ by introducing…

Statistical Mechanics · Physics 2009-11-11 Anjan Kumar Chandra

Recently, the phenomenon of quantum-classical correspondence breakdown was uncovered in optomechanics, where in the classical regime the system exhibits chaos but in the corresponding quantum regime the motion is regular - there appears to…

Quantum Physics · Physics 2017-01-03 Guanglei Wang , Ying-Cheng Lai , Celso Grebogi

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 heterogeneous networks such as today's Internet, the differentiated services architecture promises to provide QoS guarantees through scalable service differentiation. Traffic marking is an important component of this framework. In this…

Networking and Internet Architecture · Computer Science 2007-05-23 Abhimanyu Das , Deboyjoti Dutta , Ahmed Helmy

Load balancing algorithms play a vital role in enhancing performance in data centers and cloud networks. Due to the massive size of these systems, scalability challenges, and especially the communication overhead associated with load…

Probability · Mathematics 2019-03-07 Mark van der Boor , Sem Borst , Johan van Leeuwaarden

We develop analytical tools for performance analysis of multiple TCP flows (which could be using TCP CUBIC, TCP Compound, TCP New Reno) passing through a multi-hop network. We first compute average window size for a single TCP connection…

Networking and Internet Architecture · Computer Science 2016-02-23 Sudheer Poojary , Vinod Sharma

Consider the workload process for a single server queue with deterministic service times in which customers arrive according to a scheduled traffic process. A scheduled arrival sequence is one in which customers are scheduled to arrive at…

Probability · Mathematics 2022-12-09 Victor F. Araman , Peter W. Glynn

A single cognitive radio transmitter--receiver pair shares the spectrum with two primary users communicating with their respective receivers. Each primary user has a local traffic queue, whereas the cognitive user has three queues; one…

Networking and Internet Architecture · Computer Science 2014-01-21 Ahmed El Shafie , Tamer Khattab , H. Vincent Poor

In this paper, we consider a bidirectional relay network with half-duplex nodes and block fading where the nodes transmit with a fixed transmission rate. Thereby, user 1 and user 2 exchange information only via a relay node, i.e., a direct…

Information Theory · Computer Science 2016-11-15 Vahid Jamali , Nikola Zlatanov , Robert Schober

Recent model-based congestion control algorithms such as BBR use repeated measurements at the endpoint to build a model of the network connection and use it to achieve optimal throughput with low queuing delay. Conversely, applying this…

Networking and Internet Architecture · Computer Science 2020-02-12 Maximilian Bachl , Joachim Fabini , Tanja Zseby

This paper continues the study of equilibria for flows over time in the fluid queueing model recently considered by Koch and Skutella [10]. We provide a constructive proof for the existence and uniqueness of equilibria in the case of a…

Optimization and Control · Mathematics 2014-01-28 Roberto Cominetti , José R. Correa , Omar Larré

Stochastic driven flow along a channel can be modeled by the asymmetric simple exclusion process. We confirm numerically the presence of a dynamic queuing phase transition at a nonzero obstruction strength, and establish its scaling…

Statistical Mechanics · Physics 2009-11-10 Meesoon Ha , Jussi Timonen , Marcel den Nijs

We study a minimal model of traffic flows in complex networks, simple enough to get analytical results, but with a very rich phenomenology, presenting continuous, discontinuous as well as hybrid phase transitions between a free-flow phase…

Statistical Mechanics · Physics 2015-05-13 Daniele De Martino , Luca Dall'Asta , Ginestra Bianconi , Matteo Marsili

We analyze the behavior of closed product-form queueing networks when the number of customers grows to infinity and remains proportionate on each route (or class). First, we focus on the stationary behavior and prove the conjecture that the…

Probability · Mathematics 2014-04-11 Jonatha Anselmi , Bernardo D'Auria , Neil Walton

In many urban areas of the developing world, piped water is supplied only intermittently, as valves direct water to different parts of the water distribution system at different times. The flow is transient, and may transition between…

Fluid Dynamics · Physics 2016-04-26 Anna M. Lieb , Chris H. Rycroft , Jon Wilkening

As cross-chain technology continues to advance, the scale of cross-chain transactions is experiencing significant expansion. To improve scalability, researchers have turned to the study of cross-chain state channels. However, most of the…

Networking and Internet Architecture · Computer Science 2024-04-16 Xinyu Liang , Ruiying Du , Jing Chen , Yu Zhang , Meng Jia , Shuangxi Cao , Yufeng Wei , Shixiong Yao

Automated vehicle technologies offer a promising avenue for enhancing traffic efficiency, safety, and energy consumption. Among these, Adaptive Cruise Control (ACC) systems stand out as a prevalent form of automation on today's roads, with…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Shaimaa K. El-Baklish , Anastasios Kouvelas , Michail A. Makridis

Motivated by emerging applications in online matching platforms and marketplaces, we study a matching queue. Customers and servers that arrive in a matching queue depart as soon as they are matched. While state-dependent control is an…

Probability · Mathematics 2024-12-03 Sushil Mahavir Varma , Siva Theja Maguluri

An important aspect of the recently introduced transient uncoupling scheme is that it induces synchronization for large values of coupling strength at which the coupled chaotic systems resist synchronization when continu- ously coupled.…

Chaotic Dynamics · Physics 2018-06-13 Anupam Ghosh , Prakhar Godara , Sagar Chakraborty