Optimal distribution of traffic flows in emergency cases

Manzo, Rosanna; Piccoli, Benedetto; Rarità, Luigi

doi:10.1017/s0956792512000071

Cited by 24 publications

(11 citation statements)

References 12 publications

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“…To that end, a fast computational implementation in MATLAB of one of the schemes was employed. Of course, the present approach may be applied to other different scenarios [55,56].…”

Section: Discussionmentioning

confidence: 99%

Analysis of Structure-Preserving Discrete Models for Predator-Prey Systems with Anomalous Diffusion

Alba-Pérez

Macías‐Díaz

2019

Mathematics

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In this work, we investigate numerically a system of partial differential equations that describes the interactions between populations of predators and preys. The system considers the effects of anomalous diffusion and generalized Michaelis–Menten-type reactions. For the sake of generality, we consider an extended form of that system in various spatial dimensions and propose two finite-difference methods to approximate its solutions. Both methodologies are presented in alternative forms to facilitate their analyses and computer implementations. We show that both schemes are structure-preserving techniques, in the sense that they can keep the positive and bounded character of the computational approximations. This is in agreement with the relevant solutions of the original population model. Moreover, we prove rigorously that the schemes are consistent discretizations of the generalized continuous model and that they are stable and convergent. The methodologies were implemented efficiently using MATLAB. Some computer simulations are provided for illustration purposes. In particular, we use our schemes in the investigation of complex patterns in some two- and three-dimensional predator–prey systems with anomalous diffusion.

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“…To that end, a fast computational implementation in MATLAB of one of the schemes was employed. Of course, the present approach may be applied to other different scenarios [55,56].…”

Section: Discussionmentioning

confidence: 99%

Analysis of Structure-Preserving Discrete Models for Predator-Prey Systems with Anomalous Diffusion

Alba-Pérez

Macías‐Díaz

2019

Mathematics

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“…Our study concerns modeling and simulation of wave propagation along spatial networks, inspired by (and with intended applications to) modeling blood flow in cardiovascular networks [16]. There are also connections with the modeling of traffic flow in urban networks, supply chains and telecommunication data networks (see [10], [11], [12], [13], [19]). For a spatial network, the dynamics is typically described first at the level of individual edges, followed by a model for the junctions; the simulations can be performed on parts of the network or, if feasible, on the entire network.…”

Section: (Communicated By Mette Olufsen)mentioning

confidence: 99%

Flow optimization in vascular networks

Cascaval

D’Apice²,

D'Arienzo³

et al. 2017

Mathematical Biosciences and Engineering

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The development of mathematical models for studying phenomena observed in vascular networks is very useful for its potential applications in medicine and physiology. Detailed 3D studies of flow in the arterial system based on the Navier-Stokes equations require high computational power, hence reduced models are often used, both for the constitutive laws and the spatial domain. In order to capture the major features of the phenomena under study, such as variations in arterial pressure and flow velocity, the resulting PDE models on networks require appropriate junction and boundary conditions. Instead of considering an entire network, we simulate portions of the latter and use inflow and outflow conditions which realistically mimic the behavior of the network that has not been included in the spatial domain. The resulting PDEs are solved numerically using a discontinuous Galerkin scheme for the spatial and Adam-Bashforth method for the temporal discretization. The aim is to study the effect of truncation to the flow in the root edge of a fractal network, the effect of adding or subtracting an edge to a given network, and optimal control strategies on a network in the event of a blockage or unblockage of an edge or of an entire subtree.

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“…In IoV, routing protocols plays a key role in the finding of best available paths in highly unstable vehicular environment (Cascone et al 2010;Cutolo et al 2012;Manzo et al 2012). A suitable protocol for data transmission in wireless networks can have a good data quality with less or no delay.…”

Section: Introductionmentioning

confidence: 99%

SD-IoV: SDN enabled routing for internet of vehicles in road-aware approach

Abbas

Afaq

Song

2019

J Ambient Intell Human Comput

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Proposing an optimal routing protocol for internet of vehicles with reduced overhead has endured to be a challenge owing to the incompetence of the current architecture to manage flexibility and scalability. The proposed architecture, therefore, consolidates an evolving network standard named as software defined networking in internet of vehicles. Which enables it to handle highly dynamic networks in an abstract way by dividing the data plane from the control plane. Firstly, road-aware routing strategy is introduced: a performance-enhanced routing protocol designed specifically for infrastructure-assisted vehicular networks. In which roads are divided into road segments, with road side units for multi-hop communication. A unique property of the proposed protocol is that it explores the cellular network to relay control messages to and from the controller with low latency. The concept of edge controller is introduced as an operational backbone of the vehicle grid in internet of vehicles, to have a real-time vehicle topology. Last but not least, a novel mathematical model is estimated which assists primary controller in a way to find not only a shortest but a durable path. The results illustrate the significant performance of the proposed protocol in terms of availability with limited routing overhead. In addition, we also found that edge controller contributes mainly to minimizes the path failure in the network. Keywords Software defined networking (SDN) • Internet of vehicles (IoV) • Road-aware approach • Edge controller (EC)

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Optimal distribution of traffic flows in emergency cases

Cited by 24 publications

References 12 publications

Analysis of Structure-Preserving Discrete Models for Predator-Prey Systems with Anomalous Diffusion

Analysis of Structure-Preserving Discrete Models for Predator-Prey Systems with Anomalous Diffusion

Flow optimization in vascular networks

SD-IoV: SDN enabled routing for internet of vehicles in road-aware approach

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