Optimal control of the time-varying flows in networks
Marc Kaltenbach (1981)
RAIRO - Operations Research - Recherche Opérationnelle
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Marc Kaltenbach (1981)
RAIRO - Operations Research - Recherche Opérationnelle
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Tamás Péter (2012)
International Journal of Applied Mathematics and Computer Science
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The paper introduces a method of mathematical modeling of high scale road traffic networks, where a new special hypermatrix structure is intended to be used. The structure describes the inner-inner, inner-outer and outer-outer relations, and laws of a network area. The research examines the nonlinear equation system. The analysed model can be applied to the testing and planning of large-scale road traffic networks and the regulation of traffic systems. The elaborated model is in state...
Włodzimierz Ogryczak, Adam Wierzbicki (2004)
Control and Cybernetics
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Ahmed, N.U., Li, Cheng (2004)
Mathematical Problems in Engineering
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Yu. Vassilevski, S. Simakov, V. Salamatova, Yu. Ivanov, T. Dobroserdova (2011)
Mathematical Modelling of Natural Phenomena
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We present the fiber-spring elastic model of the arterial wall with atherosclerotic plaque composed of a lipid pool and a fibrous cap. This model allows us to reproduce pressure to cross-sectional area relationship along the diseased vessel which is used in the network model of global blood circulation. Atherosclerosis attacks a region of systemic arterial network. Our approach allows us to examine the impact of the diseased region onto...
Nikola Lilić, Dragoslav Kuzmanović (1994)
The Yugoslav Journal of Operations Research
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Goran Ćirović, Darko Plamenac (2007)
The Yugoslav Journal of Operations Research
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Andrzej Bartoszewicz, Tomasz Molik (2004)
International Journal of Applied Mathematics and Computer Science
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The problem of flow control in fast, connection-oriented communication networks supporting the traffic generated by multiple sources is considered. A novel sampled time strategy governing the behaviour of the sources is proposed. The strategy combines the Smith principle with the conventional sampled time proportional controller. It guarantees an equal resource allocation between various users, full bottleneck link utilisation and no cell loss in the controlled network. Consequently,...
Jan Werewka, Mirosław Dach (2010)
Control and Cybernetics
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Nebojša J. Bojović (2000)
The Yugoslav Journal of Operations Research
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Oscar J. Suarez, Carlos J. Vega, Santiago Elvira-Ceja, Edgar N. Sanchez, David I. Rodriguez (2018)
Kybernetika
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In this paper, a novel approach for controlling complex networks is proposed; it applies sliding-mode pinning control for a complex network to achieve trajectory tracking. This control strategy does not require the network to have the same coupling strength on all edges; and for pinned nodes, the ones with the highest degree are selected. The illustrative example is composed of a network of 50 nodes; each node dynamics is a Chen chaotic attractor. Two cases are presented. For the first...
Krzysztof Walkowiak (2010)
International Journal of Applied Mathematics and Computer Science
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Our discussion in this article centers around various issues related to the use of anycasting in connection-oriented computer networks. Anycast is defined as a one-to-one-of-many transmission to deliver a packet to one of many hosts. Anycasting can be applied if the same content is replicated over many locations in the network. Examples of network techniques that apply anycasting are Content Delivery Networks (CDNs), Domain Name Service (DNS), Peer-to-Peer (P2P) systems. The role of...
Fabio Bagagiolo, Dario Bauso (2011)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider a model for the control of a linear network flow system with unknown but bounded demand and polytopic bounds on controlled flows. We are interested in the problem of finding a suitable objective function that makes robust optimal the policy represented by the so-called linear saturated feedback control. We regard the problem as a suitable differential game with switching cost and study it in the framework of the viscosity solutions theory for Bellman and Isaacs equations. ...