Academic literature on the topic 'Network Equilibrium Modeling'

Network design decisions, especially those pertaining to urban infrastructure, are made by a central authority or network leader, and taking into consideration the network users or followers. These network decision problems are formulated as non-linear bi-level programming problems. In this work, a continuous network design problem (CNDP) and discrete network design problem (DNDP) bi-level optimization programs are proposed and solved in the context of transportation planning. The solution strategy involved reformulation and linearization as a single-level program by introducing the optimality conditions of the lower level problem into the upper level problem. For the CNDP, an alternative linearization algorithm (modified least squares partitioning, MLSPA) is proposed. MLSPA takes into consideration the current arc capacity and potential expansion to find a reduced set of planes to generalize the flow-capacity surface behavior. The concepts of flow capacity surface was introduced as a way to model of congested network and capture the effect of capacity on travel time/cost. It was found that the quality of the linear approximation depends on the goodness of fit the bottleneck arcs. The proposed approach was tested with well-known benchmark problems in transportation which yielded promising results in terms of efficiency, without sacrificing solution quality.

A gaseificação é um processo de conversão termoquímica que compreende a oxidação parcial de um combustível para convertê-lo em uma mistura gasosa (“syngas”). Geralmente a modelagem desses processos utiliza uma descrição cinética detalhada ou os aproximam ao equilíbrio químico. Ambas as abordagens têm vantagens e desvantagens, bem como limitações. O objetivo deste trabalho foi o desenvolvimento de uma nova modelagem fenomenológica de processos de gaseificação através de um modelo “híbrido” aqui chamado de modelo híbrido adaptativo por zonas (HAZ). Este modelo assumiu que o gaseificador é representado por zonas de dois tipos: uma dominada pela cinética química, representada por um modelo cinético, e outra onde a cinética química é rápida e as espécies químicas estão em equilíbrio químico, representada por um modelo de equilíbrio. Um critério de transição entre as zonas foi proposto através de um número de Damköhler (Da) que relaciona tempos de residência e de reação química. Desta forma, o modelo adapta-se conforme os processos dominantes em cada zona. Em um primeiro momento, um modelo de equilíbrio multifásico (EM) foi desenvolvido e aplicado para um estudo da cogaseificação de carvão mineral e biomassas disponíveis no Brasil. A seguir, o modelo HAZ foi construído através da técnica de rede equivalente de reatores químicos (ERN) a partir do modelo EM e de um modelo cinético, também desenvolvido neste trabalho. Uma metodologia de aplicação do modelo HAZ foi proposta, aplicada e validada para duas configurações de gaseificadores: dois casos de gaseificadores de biomassa em leito fluidizado borbulhante e um caso de gaseificador de carvão mineral em leito de arraste. Para os dois primeiros casos foi estimada que a transição ocorra para Da ≥ 10+5 e para o último caso; chegou-se a Da ≥ 10+3. A aplicação do modelo HAZ se mostrou satisfatória sendo que foi possível a redução do tempo computacional em pelo menos 40% com relação a uma abordagem puramente cinética. Cabe ressaltar ainda que o modelo HAZ possibilitou um maior entendimento físico e químico ao identificar os processos dominantes locais.<br>Gasification is a thermochemical conversion process consisting of partial oxidation of a fuel to convert it to a gas mixture (“syngas”). Generally, the gasification process modeling uses a kinetic detailed description, or approach it to a chemical equilibrium state. Both approaches have advantages and disadvantages, as well as limitations. The objective of this work was to develop a new phenomenological modeling of gasification processes through a “hybrid” model here called hybrid adaptive zone model (HAZ). This proposed modeling assumed the gasifier is represented by two types of zones: one dominated by chemical kinetics, represented by a kinetic model, and another where chemical kinetics is fast so chemical species are assumed in chemical equilibrium states, represented by an equilibrium model. A transition criterion between zones was defined by a Damköhler number (Da) which relates residence time and chemical reaction time. Therefore, the HAZ model can adapted according to the dominant processes in each zone. Firstly, a multi-phase equilibrium model (ME) was developed and applied to study the coal-biomass co-gasification of Brazilian sources. Hereafter, the HAZ model was built using the technique of equivalent reactor network (ERN) with the ME model and a kinetic model developed in this work. A methodology of use of the HAZ model was proposed, applied and validated for two configurations of gasifiers: two cases of biomass bubbling fluidized-bed gasifiers and one case of coal entrained-flow gasifier. In the first two cases the transition was estimated to occur on Da ≥ 10+5 and in the last case; we estimated on Da ≥ 10+3. The application of the HAZ model proved to be satisfactory since it could reduce the computation time by at least 40% compared to a pure kinetic approach. It should already be emphasized that the HAZ model allowed a better physical and chemical understanding of gasification by identifying the dominant local processes.

<p>The question of how to design a congestion pricing scheme is difficult to answer and involves a number of complex decisions. This thesis is devoted to the quantitative parts of designing a congestion pricing scheme with link tolls in an urban car traffic network. The problem involves finding the number of tolled links, the link toll locations and their corresponding toll level. The road users are modeled in a static framework, with elastic travel demand.</p><p>Assuming the toll locations to be fixed, we recognize a level setting problem as to find toll levels which maximize the social surplus. A heuristic procedure based on sensitivity analysis is developed to solve this optimization problem. In the numerical examples the heuristic is shown to converge towards the optimum for cases when all links are tollable, and when only some links are tollable.</p><p>We formulate a combined toll location and level setting problem as to find both toll locations and toll levels which maximize the net social surplus, which is the social surplus minus the cost of collecting the tolls. The collection cost is assumed to be given for each possible toll location, and to be independent of toll level and traffic flow. We develop a new heuristic method which is based on repeated solutions of an approximation to the combined toll location and level setting problem. Also, a known heuristic method for locating a fixed number of toll facilities is extended, to find the optimal number of facilities to locate. Both heuristics are evaluated on two small networks, where our approximation procedure shows the best results.</p><p>Our approximation procedure is also employed on the Sioux Falls network. The result is compared with different judgmental closed cordon structures, and the solution suggested by our method clearly improves the net social surplus more than any of the judgmental cordons.</p>

In this study a dynamic assignment model is developed which estimates travellers' route and departure time choices and the resulting time varying traffic patterns during the morning peak. The distinctive feature of the model is that it does not restrict the geometry of the network to specific forms. The proposed framework of analysis consists of a travel time model, a demand model and a demand adjustment mechanism. Two travel time models are proposed. The first is based on elementary relationships from traffic flow theory and provides the framework for a macroscopic simulation model which calculates the time varying flow patterns and link travel times given the time dependent departure rate distributions; the second is based on queueing theory and models roads as bottlenecks through which traffic flow is either uncongested or fixed at a capacity independent of traffic density. The demand model is based on the utility maximisation decision rule and defines the time dependent departure rates associated with each reasonable route connecting, the O-D pairs of the network, given the total utility associated with each combination of departure time and route. Travellers' choices are assumed to result from the trade-off between travel time and schedule delay and each individual is assumed to first choose a departure time t, and then select a reasonable route, conditional on the choice of t. The demand model has therefore the form of a nested logit. The demand adjustment mechanism is derived from a Markovian model, and describes the day-to-day evolution of the departure rate distributions. Travellers are assumed to modify their trip choice decisions based on the information they acquire from recent trips. The demand adjustment mechanism is used in order to find the equilibrium state of the system, defined as the state at which travellers believe that they cannot increase their utility of travel by unilaterally changing route or departure time. The model outputs exhibit the characteristics of real world traffic patterns observed during the peak, i. e., time varying flow patterns and travel times which result from time varying departure rates from the origins. It is shown that increasing the work start time flexibility results in a spread of the departure rate distributions over a longer period and therefore reduces the level of congestion in the network. Furthermore, it was shown that increasing the total demand using the road network results in higher levels of congestion and that travellers tend to depart earlier in an attempt to compensate for the increase in travel times. Moreover, experiments using the queueing theory based travel time model have shown that increasing the capacity of a bottleneck may cause congestion to develop downstream, which in turn may result in an increase of the average travel time for certain O-D pairs. The dynamic assignment model is also applied to estimate the effects that different road pricing policies may have on trip choices and the level of congestion; the model is used to demonstrate the development of the shifting peak phenomenon. Furthermore, the effect of information availability on the traffic patterns is investigated through a number of experiments using the developed dynamic assignment model and assuming that guided drivers form a class of users characterised by lower variability of preferences with respect to route choice.

El mundo de las telecomunicaciones está cambiando de un escenario donde únicamente las personas estaban conectadas a un modelo donde prácticamente todos los dispositivos y sensores se encuentran conectados, también conocido como Internet de las cosas (IoT), donde miles de millones de dispositivos se conectarán a Internet a través de conexiones móviles y redes fijas. En este contexto, hay muchos retos que superar, desde el desarrollo de nuevos estándares de comunicación al estudio de la viabilidad económica de los posibles escenarios futuros. En esta tesis nos hemos centrado en el estudio de la viabilidad económica de diferentes escenarios mediante el uso de conceptos de microeconomía, teoría de juegos, optimización no lineal, economía de redes y redes inalámbricas. La tesis analiza la transición desde redes centradas en el servicio de tráfico HTC a redes centradas en tráfico MTC desde un punto de vista económico. El primer escenario ha sido diseñado para centrarse en las primeras etapas de la transición, en la que ambos tipos de tráfico son servidos bajo la misma infraestructura de red. En el segundo escenario analizamos la siguiente etapa, en la que el servicio a los usuarios MTC se realiza mediante una infraestructura dedicada. Finalmente, el tercer escenario analiza la provisión de servicios basados en MTC a usuarios finales, mediante la infraestructura analizada en el escenario anterior. Gracias al análisis de todos los escenarios, hemos observado que la transición de redes centradas en usuarios HTC a redes MTC es posible y que la provisión de servicios en tales escenarios es viable. Además, hemos observado que el comportamiento de los usuarios es esencial para determinar la viabilidad de los diferentes modelos de negocio, y por tanto, es necesario estudiar el comportamiento y las preferencias de los usuarios en profundidad en estudios futuros. Específicamente, los factores más relevantes son la sensibilidad de los usuarios al retardo en los datos recopilados por los sensores y la cantidad de los mismos. También hemos observado que la diferenciación del tráfico en categorías mejora el uso de las redes y permite crear nuevos servicios empleando datos que, de otro modo, no se aprovecharían, lo cual nos permite mejorar la monetización de la infraestructura. También hemos demostrado que la provisión de capacidad es un mecanismo válido, alternativo a la fijación de precios, para la optimización de los beneficios de los proveedores de servicio. Finalmente, se ha demostrado que es posible crear roles específicos para ofrecer servicios IoT en el mercado de las telecomunicaciones, específicamente, los IoT-SPs, que proporcionan servicios basados en sensores inalámbricos utilizando infraestructuras de acceso de terceros y sus propias redes de sensores. En resumen, en esta tesis hemos intentado demostrar la viabilidad económica de modelos de negocio basados en redes futuras IoT, así como la aparición de nuevas oportunidades y roles de negocio, lo cual nos permite justificar económicamente el desarrollo y la implementación de las tecnologías necesarias para ofrecer servicios de acceso inalámbrico masivo a dispositivos MTC.<br>The communications world is moving from a standalone devices scenario to a all-connected scenario known as Internet of Things (IoT), where billions of devices will be connected to the Internet through mobile and fixed networks. In this context, there are several challenges to face, from the development of new standards to the study of the economical viability of the different future scenarios. In this dissertation we have focused on the study of the economic viability of different scenarios using concepts of microeconomics, game theory, non-linear optimization, network economics and wireless networks. The dissertation analyzes the transition from a Human Type Communications (HTC) to a Machine Type Communications (MTC) centered network from an economic point of view. The first scenario is designed to focus on the first stages of the transition, where HTC and MTC traffic are served on a common network infrastructure. The second scenario analyzes the provision of connectivity service to MTC users using a dedicated network infrastructure, while the third stage is centered in the analysis of the provision of services based on the MTC data over the infrastructure studied in the previous scenario. Thanks to the analysis of all the scenarios we have observed that the transition from HTC users-centered networks to MTC networks is possible and that the provision of services in such scenarios is viable. In addition, we have observed that the behavior of the users is essential in order to determine the viability of a business model, and therefore, it is needed to study their behavior and preferences in depth in future studios. Specifically, the most relevant factors are the sensitivity of the users to the delay and to the amount of data gathered by the sensors. We also have observed that the differentiation of the traffic in categories improves the usage of the networks and allows to create new services thanks to the data that otherwise would not be used, improving the monetization of the infrastructure and the data. In addition, we have shown that the capacity provision is a valid mechanism for providers' profit optimization, as an alternative to the pricing mechanisms. Finally, it has been demonstrated that it is possible to create dedicated roles to offer IoT services in the telecommunications market, specifically, the IoT-SPs, which provide wireless-sensor-based services to the final users using a third party infrastructure. Summarizing, this dissertation tries to demonstrate the economic viability of the future IoT networks business models as well as the emergence of new business opportunities and roles in order to justify economically the development and implementation of the new technologies required to offer massive wireless access to machine devices.<br>El món de les telecomunicacions està canviant d'un escenari on únicament les persones estaven connectades a un model on pràcticament tots els dispositius i sensors es troben connectats, també conegut com a Internet de les Coses (IoT) , on milers de milions de dispositius es connectaran a Internet a través de connexions mòbils i xarxes fixes. En aquest context, hi ha molts reptes que superar, des del desenrotllament de nous estàndards de comunicació a l'estudi de la viabilitat econòmica dels possibles escenaris futurs. En aquesta tesi ens hem centrat en l'estudi de la viabilitat econòmica de diferents escenaris per mitjà de l'ús de conceptes de microeconomia, teoria de jocs, optimització no lineal, economia de xarxes i xarxes inalàmbriques. La tesi analitza la transició des de xarxes centrades en el servici de tràfic HTC a xarxes centrades en tràfic MTC des d'un punt de vista econòmic. El primer escenari ha sigut dissenyat per a centrar-se en les primeres etapes de la transició, en la que ambdós tipus de tràfic són servits davall la mateixa infraestructura de xarxa. En el segon escenari analitzem la següent etapa, en la que el servici als usuaris MTC es realitza per mitjà d'una infraestructura dedicada. Finalment, el tercer escenari analitza la provisió de servicis basats en MTC a usuaris finals, per mitjà de la infraestructura analitzada en l'escenari anterior. Als paràgrafs següents es descriu amb més detall cada escenari. Gràcies a l'anàlisi de tots els escenaris, hem observat que la transició de xarxes centrades en usuaris HTC a xarxes MTC és possible i que la provisió de servicis en tals escenaris és viable. A més a més, hem observat que el comportament dels usuaris és essencial per a determinar la viabilitat dels diferents models de negoci, i per tant, és necessari estudiar el comportament i les preferències dels usuaris en profunditat en estudis futurs. Específicament, els factors més rellevants són la sensibilitat dels usuaris al retard en les dades recopilats pels sensors i la quantitat dels mateixos. També hem observat que la diferenciació del tràfic en categories millora l'ús de les xarxes i permet crear nous servicis emprant dades que, d'una altra manera, no s'aprofitarien, la qual cosa ens permet millorar la monetització de la infraestructura. També hem demostrat que la provisió de capacitat és un mecanisme vàlid, alternatiu a la fixació de preus, per a l'optimització dels beneficis dels proveïdors de servici. Finalment, s'ha demostrat que és possible crear rols específics per a oferir servicis IoT en el mercat de les telecomunicacions, específicament, els IoT-SPs, que proporcionen servicis basats en sensors inalàmbrics utilitzant infraestructures d'accés de tercers i les seues pròpies xarxes de sensors. En resum, en aquesta tesi hem intentat demostrar la viabilitat econòmica de models de negoci basats en xarxes futures IoT, així com l'aparició de noves oportunitats i rols de negoci, la qual cosa ens permet justificar econòmicament el desenrotllament i la implementació de les tecnologies necessàries per a oferir servicis d'accés inalàmbric massiu a dispositius MTC.<br>Sanchis Cano, Á. (2018). Economic analysis of wireless sensor-based services in the framework of the Internet of Things. A game-theoretical approach [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/102642<br>TESIS

Cette thèse porte sur les modèles d'équilibre dynamique sur un réseau de transport et de leurs applications à l'affectation de trafic. Elle vise à proposer une formulation à la fois générale, mathématiquement rigoureuse et microéconomiquement cohérente de l'équilibre dynamique. Une attention toute particulière est accordée à la représentation de la demande de transport et plus spécifiquement à la modélisation des hétérogénéités dans les préférences des usagers du réseau, ainsi que de leurs stratégies de choix d'horaires dans leurs déplacements. Tout d'abord nous exprimons l'équilibre dynamique comme un jeu de Nash avec un continuum de joueurs. Cette formulation nous permet d'obtenir un résultat d'existence. Celui-ci s'applique notamment au plus simple des modèles d'équilibre dynamique, où les usagers sont identiques et ne choisissent pas leurs horaires de départ. Ensuite, nous présentons deux modèles d'équilibre pour lesquels une solution analytique peut être établie. Le premier est une généralisation du modèle de goulot de Vickrey. Alors que Vickrey considère une distribution des horaires préférés d'arrivée en forme de S, nous traitons de distributions quelconques. Le deuxième modèle proposé est un réseau à péage avec deux routes et des usagers dont la valeur du temps est distribuée. Ce modèle nous permet d'investiguer les efficacités relatives de différentes stratégies de tarification et de voir comment celles-ci sont affectés par le niveau d'hétérogénéité dans la valeur du temps. Pour finir, un modèle calculable est présenté et des méthodes de résolution sont proposées. Le modèle est testé sur le réseau routier national. Par ailleurs, il est exploité pour tester une tarification modulée en fonction du temps dont l'objectif est d'atténuer la congestion lors des grands départs de vacances<br>This thesis is focused on dynamic user equilibrium (DUE) models and theirapplications to traffic assignment. It aims at providing a mathematically rigorous and general formulation for the DUE. Particular attention is paid to the representation of transport demand and more specifically to trip scheduling and users with heterogeneous preferences.The DUE is first expressed as a Nash game with a continuum of players. It strongly relies on up-to-date results from mathematical economics. This formulation allows to prove an existence result for DUE. This results notably applies to one of the simplest dynamic user equilibrium model, where users are homogeneous and departure time choice is not allowed.Then, two simple DUE models for which the solutions can be derived analytically are presented. The first one is a generalization of the Vickrey's bottleneck model. Whereas Vickrey assumed that the distribution of preferred arrival time is S-shaped, we consider more general distributions. In the second model, we have a two-route tolled network where users are continuously heterogeneous with respect to their value of time. This allows us to conduct a study on the relative efficiencies of various pricing strategy and how it is affected by the level of heterogeneity in users' value of time.Finally, a computable model is designed and corresponding solution methods are proposed. A test on the french national road network is conducted. The model is used to assess an hypothetical time-varying pricing scheme intended to ease summer traffic congestion

Nous abordons le problème de la coordination du mouvement par les deux approches continues et discrètes, afin de les comparer en vue du neurocontrôle en robotique. Dans le premier chapitre, le formalisme des champs et les équations du champ pour un tissu nerveux ont été rappelés. Ces équations incluent les mécanismes physiologiques du système nerveux pour mieux tenir compte de la réalité. Les hypothèses permettant de retrouver les modèles classiques ont été déterminées, prouvant ainsi la généralité de la théorie du champ envisagée. Dans le deuxième chapitre, la résolution numérique des équations du champ est réalisée au moyen de la technique des éléments finis et des différences finies. Il est supposé que l'équation au niveau neuronal est bidimensionnelle, alors que celle du niveau synaptique est à une dimension. A la fin de ce chapitre, nous proposons des simulations pour les réseaux multicouches classiques illustrant la propagation de l'activation. Dans le troisième chapitre, nous présentons les premiers résultats de l'application du formalisme des champs au cervelet. En particulier, les propriétés concernant l'effet de la localisation géométrique des neurones et l'effet de la hiérarchie sont déduites. Dans le quatrième chapitre, nous commençons par l'étude du modèle du cervelet en boucle fermée en analysant le rôle de la fibre grimpante dont on sait qu'elle véhicule le signal d'erreur. La méthode analytique utilisée, est fondée sur une technique classique d'optimisation. Nous généralisons ensuite notre méthode. Enfin nous abordons dans une dernière section un aspect de la robotique mobile. Nous avons considéré l'exemple simplifie d'un bipède dont il faut contrôler l'équilibre dynamique par l'accélération articulaire du tronc. On montre que notre modèle permet d'apprendre à contrôler l'équilibre dynamique du système pour les trajectoires apprises et d'anticiper celles qui sont non apprises.

The objective of this work is the formulation, development and implementation of Artificial Neural Networks (ANNs) to turbulent combustion problems, for the representation of reduced chemical kinetics. Although ANNs are general and robust tools for simulating dynamical systems within reasonable computational times, their employment in combustion has been limited. In previous studies, ANNs were trained with data collected from either the test case of interest or from a similar problem. To overcome this training drawback, in this work, ANNs are trained with samples generated from an abstract problem; the laminar flamelet equation, allowing the simulation of a wide range of problems. To achieve this, the first step is to reduce a detailed chemical mechanism to a manageable number of variables. This task is performed by the Rate-Controlled Constrained Equilibrium (RCCE) reduction method. The training data sets consist of the composition of points with random mixture fraction, recorded from flamelets with random strain rates. The training, testing and simulation of the ANNs is carried out via the Self-Organising Map - Multilayer Perceptrons (SOM-MLPs) approach. The SOM-MLPs combination takes advantage of a reference map and splits the chemical space into domains of chemical similarity, allowing the employment of a separate MLP for each sub-domain. The RCCE-ANNs tabulation is used to replace conventional chemistry integration methods in RANS computations and LES of real turbulent flames. In the context of RANS the interaction of turbulence and combustion is described by using a PDF method utilising stochastic Lagrangian particles. In LES the sub-grid PDF is represented by an ensemble of Eulerian stochastic fields. Test cases include non-premixed and partially premixed turbulent flames in both non-piloted and piloted burner configurations. The comparison between RCCE-ANNs, real-time RCCE and experimental measurements shows good overall agreement in reproducing the overall flame structure and a significant speed-up of CPU time by the RCCE-ANN method.