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Analysis of dynamic congestion control protocols

Amarnath Mukherjee, John C. Strikwerda
1991 Computer communication review  
We present an approximate analysis of a queue with dynanlically changing input rates that are based on implicit or explicit fec(l1,nck.  ...  Jac 881, where the sender's window size at the transport level is acljustecl basecl on perceived congestion level of a bottlellecli node. We develop an analysis methodolog!!  ...  We investigate the performance of congestion control protocols that dynamically change input rates based on feedl~acli information received fro111 the l~et\~o~-li.  ... 
doi:10.1145/115994.116008 fatcat:iczfp5g6rvae3ipoh24ddtz55u

Uncertainty damping in kinetic traffic models by driver-assist controls

Andrea Tosin, Mattia Zanella
2021 Mathematical Control and Related Fields  
particular, act in such a way to align the speed of the vehicles to a prescribed congestion-dependent value.  ...  Specifically, we design two possible control protocols, which, consistently with the aforementioned ADAS technologies, are applied at the level of the microscopic interactions among the vehicles and, in  ...  Both authors are members of GNFM (Gruppo Nazionale per la Fisica Matematica) of INdAM (Istituto Nazionale di Alta Matematica), Italy.  ... 
doi:10.3934/mcrf.2021018 fatcat:rttxekmmnfdvne3mhxaw7fdasu

Uncertainty damping in kinetic traffic models by driver-assist controls [article]

Andrea Tosin, Mattia Zanella
2020 arXiv   pre-print
Our analytical and numerical results suggest that the aggregate traffic flow may be made more ordered, hence predictable, by implementing such control protocols in driver-assist vehicles.  ...  Remarkably, they also provide a precise relationship between a measure of the macroscopic damping of the uncertainty and the penetration rate of the driver-assist technology in the traffic stream.  ...  the solution f to the Fokker-Planck equation (28) for ρ = 0.2, 0.4, 0.6 and for a decreasing penalisation κ = 10 −1 , 10 −2 of the control, which implies an effective penetration rate increasing from  ... 
arXiv:1904.00257v2 fatcat:pfhihdplgvcd5cslfrg56uldtq

Feedback-induced self-oscillations in large interacting systems subjected to phase transitions

Daniele De Martino
2019 Journal of Physics A: Mathematical and Theoretical  
Despite its simplicity, this theory accounts potentially for a rich range of phenomena: here it is applied to describe in a stylized way (i) excess demand-price cycles due to strong herding in a simple  ...  agent-based market model; (ii) congestion waves in queuing networks triggered by user feedback to delays in overloaded conditions; and (iii) metabolic network oscillations resulting from cell growth control  ...  A deterministic equation for this term can be worked out from the linear Fokker-Planck equation (16) by considering the equivalent Ito stochastic differential equation (where W(t) is a Wiener process)  ... 
doi:10.1088/1751-8121/aaf2dd fatcat:35hhhtlbdfes7ocsp6e27xebl4

On the origin of self-oscillations in large systems [article]

Daniele De Martino
2018 arXiv   pre-print
Despite its simplicity, this theory accounts potentially for a rich range of phenomena: here it is applied to describe in a stylized way i) excess demand-price cycles due to strong herding in a simple  ...  agent-based market model; ii) congestion waves in queueing networks triggered by users feedback to delays in overloaded conditions; iii) metabolic network oscillations resulting from cell growth control  ...  ) (27) 𝛼1(𝜑) = 𝑊+ − 𝑊− 𝛼2(𝜑) = 2(𝑊+ + 𝑊−) (28) on one hand a deterministic equation for the 𝜑 φ = 𝛼1(𝜑) (29) on the other a linear Fokker-Planck equation for the 𝑧 𝜕𝑃 (𝑧) 𝜕𝑡 = −𝛼 ′ 1  ... 
arXiv:1801.05672v1 fatcat:7kxlu3w3ybgdlmkwh4n2fmb5zy

Fluid-diffusive modelling for large P2P file-sharing systems

G. Carofiglio, R. Gaeta, M. Garetto, P. Giaccone, E. Leonardi, M. Sereno
2012 Mathematical and Computer Modelling of Dynamical Systems  
This article presents an application of the basic concepts of statistical physics to devise an approximate model describing the dynamics of large peer-to-peer (P2P) file-sharing networks, based on fluid-diffusive  ...  As the complexity of the model is largely independent of the system size, it provides an effective method for the analysis of very large P2P systems.  ...  A subscript a or s is used to distinguish among active and sleeping users attributes.  ... 
doi:10.1080/13873954.2012.689304 fatcat:63q3rcau7ngzpkkox4rggmfjq4

Large Fluctuations in Stochastically Perturbed Nonlinear Systems: Applications in Computing [article]

Robert S. Maier
1993 arXiv   pre-print
The other is a simple model of two dynamic data structures in the same memory space. In both models 'large fluctuations' are unlikely, undesirable events.  ...  One is a stochastic model of a communications network, resembling an Ethernet, which experiences traffic fluctuations.  ...  Associated to each such process is a Fokker-Planck equation (a parabolic partial differential equation) describing the diffusion of probability.  ... 
arXiv:chao-dyn/9305009v1 fatcat:m6q37v2porg43js7lvj7wqxhbi

Linearly-Solvable Mean-Field Approximation for Multi-Team Road Traffic Games [article]

Ali Reza Pedram, Takashi Tanaka
2019 arXiv   pre-print
An incentive mechanism is considered to mitigate congestion, where each driver is subject to dynamic tax penalties.  ...  It is shown via a mean-field approximation that a Nash equilibrium in the limit of a large population can be found by linearly solvable algorithms.  ...  Faulkner at the University of Texas at Austin for his contributions to the numerical study in Section IV.  ... 
arXiv:1910.01087v1 fatcat:fhzmuyqiqndq5gllhm5oads5ke

Model-based assessment of the impact of driver-assist vehicles using kinetic theory

Benedetto Piccoli, Andrea Tosin, Mattia Zanella
2020 Zeitschrift für Angewandte Mathematik und Physik  
Next, we complement the FTL dynamics of a few vehicle with a control term designed in such a way to induce the controlled vehicles to keep a recommended distance from their leading vehicles while smoothing  ...  vehicles and the level of traffic congestion.  ...  It does not have a counterpart in the results reported in [25] , because there only meanpreserving Fokker-Planck equations are considered.  ... 
doi:10.1007/s00033-020-01383-9 fatcat:oxzoitg2avgctjfzdyvh4execa

Model-based assessment of the impact of driver-assist vehicles using kinetic theory [article]

Benedetto Piccoli, Andrea Tosin, Mattia Zanella
2019 arXiv   pre-print
In this paper we consider a kinetic description of follow-the-leader traffic models, which we use to study the effect of vehicle-wise driver-assist control strategies at various scales, from that of the  ...  We provide a theoretical evidence of the fact that some typical control strategies, such as the alignment of the speeds and the optimisation of the time headways, impact on the local traffic features (  ...  It does not have a counterpart in the results reported in [23] , because there only mean-preserving Fokker-Planck equations are considered.  ... 
arXiv:1911.04911v1 fatcat:azlb23nyzrg2no6mw2soe4snzy

A Toolbox of Hamilton-Jacobi Solvers for Analysis of Nondeterministic Continuous and Hybrid Systems [chapter]

Ian M. Mitchell, Jeremy A. Templeton
2005 Lecture Notes in Computer Science  
Unfortunately, analytic solutions are seldom available and numerical approximation requires a great deal of programming infrastructure.  ...  In this paper we describe the first publicly available toolbox for approximating the solution of such equations, and discuss three examples of how these equations can be used in system analysis: cost to  ...  Hespanha for providing parameter values used in his SHS model of TCP.  ... 
doi:10.1007/978-3-540-31954-2_31 fatcat:gshshi2fbzgsnm3odaaoit2a54

Cyber-Physical Modeling and Control of Crowd of Pedestrians: A Review and New Framework [article]

Ke-cai Cao, YangQuan Chen, Dan Stuart, Dong Yue
2015 arXiv   pre-print
Recent advances in modeling and control of crowds of pedestrians are briefly surveyed in this paper.  ...  Control of the crowd of pedestrians have also been formulated using the framework of Cyber-Physical Systems and been realized using networked Segways with onboard emergency response personnels to regulate  ...  Acknowledgment The authors gratefully acknowledge the Editors and the anonymous reviewers for their valuable comments that helped to improve the quality of this work.  ... 
arXiv:1506.05340v1 fatcat:tlcyow3gcfgmjbjn7whqxi6qta

A Fractional Micro-Macro Model for Crowds of Pedestrians based on Fractional Mean Field Games [article]

Ke-cai Cao, YangQuan Chen, Dan Stuart
2016 arXiv   pre-print
and fractional dynamic model composed of fractional backward and fractional forward equations are constructed in macro scale.  ...  Based on fractional microscopic model that may be much more close to reality, a fractional macroscopic model has been proposed using conservation law of mass.  ...  For example, coupled dynamic model composed of backward Hamilton-Jacobi-Bellman equations and forward Fokker-Planck equations have been presented using mean-field limit approach in [20] ; Phenomenons  ... 
arXiv:1602.01211v1 fatcat:xjn5o7gpbnhs3afanlz527kg3a

A model for stochastic hybrid systems with application to communication networks

João P. Hespanha
2005 Nonlinear Analysis  
We pursue here a stochastic analysis of the hybrid models proposed in [9] .  ...  Using the tools derived for SHSs, we model the dynamics of the moments of the sending rate by an infinite system of ODEs, which can be truncated to obtain an approximate finite-dimensional model.  ...  Acknowledgments The author would like to thank Roger Brockett for providing a preprint of [11] ; Martin Arlitt for making available the processed data regarding the transfer-size distribution reported  ... 
doi:10.1016/j.na.2005.01.112 fatcat:fihmcz5vsvasfftqlcucve3oeu

Game-Theoretic Power Control for Energy Constrained Machine Type Communications

Kashif Mehmood, Muhammad Tabish Niaz, Hyung Seok Kim
2019 2019 15th Annual Conference on Wireless On-demand Network Systems and Services (WONS)  
For a dense network environment, the MTC power control problem is modeled as a mean field game (MFG) and system utility is modeled in terms of the interference and reliability condition.  ...  Machine type communications (MTC) unleashes a broad range of applications ranging from mission-critical services to massively connected autonomous nodes.  ...  Hamilton-Jacobi-Bellman (HJB) and Fokker-Planck-Kolmogorov (FPK) equations for our proposed game design are formulated and then solved using a finite difference technique [6] .  ... 
doi:10.23919/wons.2019.8795499 dblp:conf/wons/MehmoodNK19 fatcat:ayccdp5s2zbqxcgpzvr5qzxcgi
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