No presente trabalho é apresentado um estudo do efeito da diluição com inertes sobre as características da transferência de calor por radiação em chamas laminares não pré-misturadas de metano. O trabalho também apresenta um estudo sobre a modelagem do fluxo radiativo proveniente de chamas turbulentas visando à obtenção de fatores de ponderação para o modelo das múltiplas fontes pontuais. Em ambos os estudos, a distribuição do fluxo radiante é obtida através de medições ao longo do eixo da chama e os valores de fração radiante são calculados a partir da integração dessa distribuição. É mostrado qualitativamente que a adição de gás inerte ao combustível propicia a inibição da formação de fuligem. É mostrado quantitativamente que a adição de gás inerte pode reduzir ou ampliar a fração radiante da chama, dependendo do tipo de gás, dos níveis de diluição e do tempo de residência característico da chama. São reportados valores para os fatores de ponderação utilizados no modelo de múltiplas fontes pontuais obtidos experimentalmente a partir de medições nas chamas. O formato da curva formada pelos fatores de ponderação é semelhante para os diferentes níveis de diluição com gás carbônico. A utilização desses fatores de ponderação no modelo de múltiplas fontes pontuais apresenta resultados satisfatórios em comparação com a distribuição dos fluxos radiativos medidos ao longo do eixo da chama. / In this work it is presented a study of the effect of fuel dilution with inerts on the radiative heat transfer characteristics of laminar non premixed methane flames. A study on the radiative flux distribution from turbulent flames is conducted in order to obtain weighting factors for the model of multiple point sources. The distribution of radiative heat flux is obtained by measuring the fluxes along the axis of the flame and the radiant fraction is calculated by the integration of such distribution. It is qualitatively shown that the addition of inert gas in the fuel leads to the inhibition of soot formation. It is quantitatively shown that the addition of inert may decrease or increase the radiant fraction depending on gas type, dilution levels and characteristic residence times of the flame. It is also reported values for the weighting factors used in the model of multiple point sources experimentally obtained from measurements. The shapes of the curves formed by the weighting factors are similar for the different dilution levels of carbon dioxide. The use of these weighting factors in the multi-point source model shows satisfactory results in comparison to the distribution of radiative fluxes measured along the flame axis.

No presente trabalho é apresentado um estudo do efeito da diluição com inertes sobre as características da transferência de calor por radiação em chamas laminares não pré-misturadas de metano. O trabalho também apresenta um estudo sobre a modelagem do fluxo radiativo proveniente de chamas turbulentas visando à obtenção de fatores de ponderação para o modelo das múltiplas fontes pontuais. Em ambos os estudos, a distribuição do fluxo radiante é obtida através de medições ao longo do eixo da chama e os valores de fração radiante são calculados a partir da integração dessa distribuição. É mostrado qualitativamente que a adição de gás inerte ao combustível propicia a inibição da formação de fuligem. É mostrado quantitativamente que a adição de gás inerte pode reduzir ou ampliar a fração radiante da chama, dependendo do tipo de gás, dos níveis de diluição e do tempo de residência característico da chama. São reportados valores para os fatores de ponderação utilizados no modelo de múltiplas fontes pontuais obtidos experimentalmente a partir de medições nas chamas. O formato da curva formada pelos fatores de ponderação é semelhante para os diferentes níveis de diluição com gás carbônico. A utilização desses fatores de ponderação no modelo de múltiplas fontes pontuais apresenta resultados satisfatórios em comparação com a distribuição dos fluxos radiativos medidos ao longo do eixo da chama. / In this work it is presented a study of the effect of fuel dilution with inerts on the radiative heat transfer characteristics of laminar non premixed methane flames. A study on the radiative flux distribution from turbulent flames is conducted in order to obtain weighting factors for the model of multiple point sources. The distribution of radiative heat flux is obtained by measuring the fluxes along the axis of the flame and the radiant fraction is calculated by the integration of such distribution. It is qualitatively shown that the addition of inert gas in the fuel leads to the inhibition of soot formation. It is quantitatively shown that the addition of inert may decrease or increase the radiant fraction depending on gas type, dilution levels and characteristic residence times of the flame. It is also reported values for the weighting factors used in the model of multiple point sources experimentally obtained from measurements. The shapes of the curves formed by the weighting factors are similar for the different dilution levels of carbon dioxide. The use of these weighting factors in the multi-point source model shows satisfactory results in comparison to the distribution of radiative fluxes measured along the flame axis.

A estimativa acurada do fluxo de calor radiativo na região próxima à chama do tipo jato não pré-misturada é necessária para garantir a segurança de pessoas e equipamentos em caso de vazamentos ou processo de descarte na indústria de petróleo e gás. A simulação computacional dos fenômenos físicos envolvidos na transferência de calor e combustão do processo tem alto custo computacional. No presente trabalho é apresentado um estudo para o emprego do modelo de múltiplas fontes ponderadas para a estimativa do fluxo de calor radiativo no campo próximo à chama. O modelo matemático simplificado tem baixo custo computacional e consiste em representar a transferência de calor radiativa por fontes pontuais distribuídas no eixo central da chama. Cada fonte tem um peso proporcional à contribuição de cada região discretizada da chama na transferência de calor por radiação. Para determinar o peso de cada fonte foi utilizada a análise inversa pelo método da Otimização Extrema Generalizada, no qual o fluxo de calor é dado de entrada enquanto o peso de cada fonte é dado de saída. Como dado de entrada foi utilizado o fluxo de calor radiativo medido experimentalmente de um conjunto de 12 chamas, com potência entre 0,139 e 0,554 kW. A análise inversa foi utilizada para recuperar os pesos, e a fração radiante, que geram o fluxo de calor radiativo com maior compatibilidade com os dados experimentais em três abordagens. A primeira abordagem consiste em aplicar a análise inversa em cada chama separadamente, e depois de obtidos os pesos correlaciona-los com a potência da chama. Na aplicação do método em cada chama individualmente, o desvio máximo do resultado do modelo com os dados experimentais é de 5%. Em uma segunda abordagem, foi utilizada a análise inversa para obter diretamente os coeficientes de uma função entre os pesos do modelo e a potência da chama e seu comprimento estimado, o desvio máximo encontrado é de 18,6%. Na terceira abordagem, a análise inversa foi utilizada novamente para encontrar os coeficientes da função que correlaciona a potência da chama com parâmetros do modelo, e neste caso foi utilizado o comprimento experimental da chama para posicionar as fontes pontuais. Para o caso em que sete fontes foram posicionadas a 2,25 vezes o comprimento da chama medido experimentalmente, o desvio máximo observado foi de 8,6% e o desvio médio de 2,9%. / The accurate approximation of radiative heat flux on non-premixed flame in the region adjacent to the flame is required to guarantee the staff and machinery safety on oil and gas industry in cases of fuel leaking or disposal process. The physical phenomena involved on heat transfer and combustion has high computational cost in numerical simulation, in accidental leaking cases it is prohibitive. In the present study it is presented an application of Weighted Multi-Point Sources model to predict the radiative heat flux in the region adjacent to the flame. The simplified mathematical model has low computational cost and simulates the radiative heat transfer by punctual sources placed at the flame axis. Each source has the weight proportional to heat transfer contribution by each flame portion. To set each source's weight, it was used the inverse analysis by the Generalized Extremal Optimization. In inverse analysis the radiative heat fluxes are the input data while the weight of each source is the sought variable. As input data are used the radiative heat fluxes measured from a set of 12 flames, with power between 0.139 and 0.554 kW. The inverse analysis was used to recover the weights, and the fraction of heat radiated, which generate radiative heat fluxes with greater compatibility with the experimental data on three approaches. The first approach is to apply the inverse analysis in each flame separately, obtain the weights and then correlates them with the flame power. In method application for each flame, the maximum deviation between model outcome and experimental data was less than 5%. In a second approach, it was used the inverse analysis to directly obtain the coefficients of a function between the model's parameters and the flame’s power. When used just the flame power as model input parameter to distributes the sources and predict the heat flux, the maximum deviation is 18.6%. In the third approach, the inverse analysis was again used to find the coefficients of the function which correlates the flame power with model parameters, in this case was used the experimental flame length for positioning the point sources. For the case in which seven sources are positioned at 2.25 times the experimental length of the flame, the maximum deviation observed was 8.6% and the mean deviation of 2 9%.

Finite element simulation of thermoplastic components is gaining importance as the companies aim to avoid overdesign of the components. Cost of the component can be minimized by using an adequate amount of material for its application. Life of the component, in a particular application, can be predicted as early as during its design phase with the help of computer simulations. To achieve reliable simulation results, an accurate material model which can predict the material behaviour is vital. Most material models consist of a number of material parameters that needs to be fed into them. These material parameters can be identified with the inputs from physical tests. The accuracy of the data extracted from the physical tests, however, remains the base for the aforementioned process. The report deals with the implementation of optical measurement technique such as Digital Image Correlation (DIC) in contrast with the conventional extensometers. A tensile test is conducted on a glass fibre reinforced thermoplastic specimen, according to ISO 527-2/1A, to extract the experimental data with the help of DIC technique. The material behavior is reproduced within a finite element analysis software package LS-DYNA, with the combination of elastoplastic model called *MAT_024 and stress state dependent damage and failure model called GISSMO. The tensile test is performed under quasi-static condition to rule out the strain rate dependency of the thermoplastic material. The mesh sensitivity of the damage model is taken into account with the element size regularization. The thesis concerns setting up a routine for material parameter identification of thermoplastics by full-field calibration (FFC) approach. Also, comparison of the strain field in the specimen, obtained through the newly set up routine against the regular non-FFC i.e. extensometer measurement routine. The major objective being, through the comparisons, a qualitative assessment of the two routines in terms of calibration time vs. gain in simulation accuracy. Material models obtained through both the routines are implemented in three-point and four-point bending simulations. The predicted material behaviors are evaluated against experimental tests.

No description available.

Tight gas and shale oil play an important role in energy security and in meeting an increasing energy demand. Hydraulic fracturing is a widely used technology for recovering these resources. The design and evaluation of hydraulic fracture operation is critical for efficient production from tight gas and shale plays. The efficiency of fracturing jobs depends on the interaction between hydraulic (induced) and naturally occurring discrete fractures. In this work, a coupled reservoir-fracture flow model is described which accounts for varying reservoir geometries and complexities including non-planar fractures. Different flow models such as Darcy flow and Reynold's lubrication equation for fractures and reservoir, respectively are utilized to capture flow physics accurately. Furthermore, the geomechanics effects have been included by considering a multiphase Biot's model. An accurate modeling of solid deformations necessitates a better estimation of fluid pressure inside the fracture. The fractures and reservoir are modeled explicitly allowing accurate representation of contrasting physical descriptions associated with each of the two. The approach presented here is in contrast with existing averaging approaches such as dual and discrete-dual porosity models where the effects of fractures are averaged out. A fracture connected to an injection well shows significant width variations as compared to natural fractures where these changes are negligible. The capillary pressure contrast between the fracture and the reservoir is accounted for by utilizing different capillary pressure curves for the two features. Additionally, a quantitative assessment of hydraulic fracturing jobs relies upon accurate predictions of fracture growth during slick water injection for single and multistage fracturing scenarios. It is also important to consistently model the underlying physical processes from hydraulic fracturing to long-term production. A recently introduced thermodynamically consistent phase-field approach for pressurized fractures in porous medium is utilized which captures several characteristic features of crack propagation such as joining, branching and non-planar propagation in heterogeneous porous media. The phase-field approach captures both the fracture-width evolution and the fracture-length propagation. In this work, the phase-field fracture propagation model is briefly discussed followed by a technique for coupling this to a fractured poroelastic reservoir simulator. We also present a general compositional formulation using multipoint flux mixed finite element (MFMFE) method on general hexahedral grids with a future prospect of treating energized fractures. The mixed finite element framework allows for local mass conservation, accurate flux approximation and a more general treatment of boundary conditions. The multipoint flux inherent in MFMFE scheme allows the usage of a full permeability tensor. An accurate treatment of diffusive/dispersive fluxes owing to additional velocity degrees of freedom is also presented. The applications areas of interest include gas flooding, CO₂ sequestration, contaminant removal and groundwater remediation. / text

[EN] In today's information society, there is a growing need to access data communication services ubiquitously, with mobility and increasingly higher data rates. This society's demand has motivated the development of the fourth generation of mobile communications (4G) and its evolution towards the fifth generation (5G). This development has required a revolution on the radio interface of the mobile communications systems, and, consequently, has significantly modified their capabilities and their radio resource management. This is the case of the technology known as Long Term Evolution (LTE) and its 4G version called LTE-Advanced. This Doctoral Thesis addresses the modelling, the radio resource management analysis, and the performance evaluation of the downlink of LTE and LTE-Advanced where, among the different features of LTE-Advanced, the focus is on the Coordinated Multi-Point (CoMP) transmission. The Thesis provides a detailed description of the main characteristics of LTE and LTE-Advanced. The high complexity of these systems, has prompted the use of computer simulations as the primary research methodology. The Thesis makes a detailed description of the simulation methodology and the system modelling required, including some contributions of the author in this field. Among them, it is of significant relevance the link-level simulation results used in the European project WINNER + for the LTE evaluation. With regard to the analysis of the radio resource management in LTE, the fundamentals of link adaptation and scheduling are explained in the first place. In relation to the scheduling, the Thesis includes a thorough study of the proportional fairness concept and the suboptimal implementation typically used in LTE to maximize this metric. This study has resulted in a series of ideas embodied in a modification of the typical implementation, which has proved to be capable of increasing the proportional fairness of the resource allocations. Moreover, the link adaptation analysis has revealed the "flash-light" effect problem, which is characterized by a high interference variability due to rapid changes in the scheduling decisions. The Thesis demonstrates that a particular implementation that stabilizes the scheduling decisions can improve the system performance. The radio resource management analysis of this Thesis is completed with the study of CoMP. Specifically, the CoMP scheme studied in this Thesis is a solution with coordinated scheduling and beamforming (CS/CB), that takes into account realistic and robust assumptions concerning the knowledge that the coordinated points have about the channel state. The Thesis proposes this solution for its simplicity and its ability to improve high data rates coverage and capacity even with incomplete channel knowledge. Concerning LTE and LTE-Advanced evaluation, it is performed in two different types of scenarios. On the one hand, the scenarios defined in the process of evaluation of IMT-Advanced. In this framework, it is evaluated the importance of different multi-antenna techniques, including CoMP, considering full-buffer traffic models. The most important conclusions in these scenarios are the significant performance improvement achieved with spatial multiplexing of users and the fact that CoMP mechanisms provide a reduced benefit. The second group of scenarios are those defined by the European project METIS for the evaluation of 5G technologies. Specifically, an indoor office scenario and an outdoor sports stadium have been selected. In these scenarios, a realistic traffic model is used, and it has been demonstrated the utility of CoMP to satisfy the first 5G requirement definitions with feasible frequency bandwidths. In these scenarios with less homogeneous deployments, or with a limited number of transmitters originating the major part of interference, is where this Thesis has found CoMP to be more useful and where the Thesis promotes its use. / [ES] En la actual sociedad, hay una creciente necesidad de acceso a servicios de comunicación de datos de forma ubicua, móvil y a velocidades cada vez más altas. Esta demanda ha motivado el desarrollo de la cuarta generación de comunicaciones móviles (4G) y su evolución hacia la quinta generación (5G). Este desarrollo ha requerido una revolución en la interfaz radio de los sistemas de comunicaciones móviles modificando en gran medida sus capacidades y la forma en la que se gestionan sus recursos. Este es el caso de la tecnología conocida como Long Term Evolution (LTE) y su versión 4G llamada LTE-Advanced. En concreto, esta Tesis Doctoral aborda el modelado, análisis de la gestión de recursos radio y evaluación de prestaciones del enlace descendente de LTE y LTE-Advanced, donde, de entre las características de LTE-Advanced, se ha puesto el foco de atención en la transmisión multipunto coordinada (CoMP). La Tesis proporciona una descripción detallada de las principales características de LTE y LTE-Advanced. La gran complejidad del sistema descrito ha motivado que la metodología de estudio haya sido la simulación mediante ordenador. La Tesis realiza una descripción detallada de dicha metodología y del modelado del sistema empleado, incluyendo algunas aportaciones del autor en este campo. De entre éstas, destaca la provisión de resultados de simulación de nivel de enlace que se usaron en el proyecto europeo WINNER+ para la evaluación de LTE. En cuanto al análisis de la gestión de recursos radio en LTE, en primer lugar, se explican los fundamentos de la adaptación al enlace y el scheduling. En relación con el scheduling, se realiza un estudio del concepto de proportional fairness y de la implementación subóptima típicamente usada en LTE para maximizar esta métrica. Este estudio ha dado como resultado una modificación de la implementación típica que ha demostrado ser capaz de aumentar la proportional fairness en la asignación de recursos con un bajo incremento de complejidad. Además, el análisis de la adaptación al enlace ha revelado el problema del efecto de "luz de flash" consistente en la alta variabilidad de la interferencia debida a rápidos cambios en las decisiones del scheduler. La Tesis demuestra que se pueden mejorar las prestaciones del sistema estabilizando dichas decisiones mediante una implementación concreta. El bloque de análisis de la gestión de recursos se completa con el estudio de CoMP. Específicamente, se estudia una solución con coordinación de scheduling y conformación de haz (CS/CB) que tiene en cuenta suposiciones reales y robustas en cuanto al conocimiento que los puntos coordinados tienen de los canales radio. La Tesis propone esta solución por su sencillez y capacidad de mejorar la eficiencia de los sistemas de comunicaciones móviles, tanto en cobertura de velocidades altas de transmisión como en capacidad, aun teniendo un conocimiento incompleto del canal. En cuanto a la evaluación de LTE y LTE-Advanced, ésta se realiza en dos tipos de escenarios. Por un lado, los escenarios definidos en el proceso de evaluación de IMT-Advanced. En este marco, se evalúa la importancia de diferentes técnicas de transmisión multiantena, incluyendo CoMP, y considerando tráfico de tipo full-buffer. Se ha obtenido una gran mejora de prestaciones por la multiplexación espacial de usuarios y mejoras discretas por el uso de CoMP. El segundo grupo de escenarios son los definidos por el proyecto europeo METIS para evaluación de tecnologías 5G, concretamente se han elegido un escenario de interiores con una oficina, y uno de exteriores con un estadio deportivo. En estos escenarios se utiliza un tráfico realista y se ha demostrado la utilidad de CoMP para mejorar las prestaciones del sistema. En estos escenarios con despliegues menos uniformes, o con un número limitado de transmisores provocando la mayor parte de la interferencia, es donde esta Tesis ha encontrado la mayor u / [CAT] En l'actual societat de la informació, hi ha una creixent necessitat d'accés a serveis de comunicació de dades de forma ubiqua, mòbil i a velocitats cada vegada més altes. Aquesta demanda de la societat, ha motivat el desenrotllament de la quarta generació de comunicacions mòbils (4G) i la seua evolució cap a la quinta generació (5G). Aquest desenrotllament ha requerit una revolució en la interfície ràdio dels sistemes de comunicacions mòbils i ha modificat en gran manera les seues capacitats i la forma en què es gestionen els seus recursos. Aquest és el cas de la tecnologia coneguda com a Long Term Evolution (LTE) i la seua versió 4G anomenada LTE-Advanced. En concret, aquesta Tesi Doctoral aborda el modelatge, anàlisi de la gestió de recursos ràdio i avaluació de prestacions de l'enllaç descendent de LTE i LTE-Advanced, on, d'entre les característiques de LTE-Advanced, s'ha posat el centre d'atenció en la transmissió multipunt coordinada (CoMP). La Tesi proporciona una descripció detallada de les principals característiques de LTE i LTE-Advanced. La gran complexitat del sistema descrit ha motivat que la metodologia d'estudi s'haja basat en simulació per mitjà d'ordinador. La Tesi realitza una descripció detallada de la metodologia de simulació i del modelatge del sistema empleat, incloent-hi algunes aportacions de l'autor en aquest camp. D'entre aquestes, destaca la provisió de resultats de simulació de nivell d'enllaç que es van usar en el projecte europeu WINNER+ per a l'avaluació de LTE. Pel que fa a l'anàlisi de la gestió de recursos ràdio en LTE, en primer lloc, s'expliquen els fonaments de l'adaptació a l'enllaç i el scheduling. En relació amb el scheduling, es realitza un estudi del concepte de proportional fairness i de la implementació subòptima típicament usada en LTE per a maximitzar aquesta mètrica. L'estudi ha donat com a resultat una modificació de la implementació típica que ha demostrat ser capaç d'augmentar la proportional fairness en l'assignació de recursos amb un baix increment de complexitat. A més, l'anàlisi de l'adaptació a l'enllaç ha desvetllat el problema de l'efecte de "llum de flaix" consistent en la alta variabilitat de la interferència deguda a una ràpida variació de les assignacions de recursos. La Tesi demostra que es poden millorar les prestacions del sistema estabilitzant les decisions del scheduler mitjançant una implementació concreta. En el bloc d'anàlisi de la gestió de recursos d'aquesta Tesi es completa amb l'estudi de CoMP. Específicament, s'estudia una solució amb coordinació de scheduling i conformació de feix (CS/CB), que té en compte suposicions reals i robustes quant al coneixement que els punts coordinats tenen dels canals ràdio dels usuaris servits. La Tesi proposa aquesta solució per la seua senzillesa i capacitat de millorar l'eficiència dels sistemes de comunicacions mòbils, tant en cobertura de velocitats altes de transmissió com en capacitat, encara tenint un coneixement incomplet del canal. Quant a l'avaluació de LTE i LTE-Advanced, aquesta es realitza en dos tipus d'escenaris diferents. D'una banda, els escenaris definits dins del procés d'avaluació de tecnologies IMT-Advanced. Dins d'aquest marc, s'avalua la importància de diferents tècniques de transmissió multi-antena, incloent-hi CoMP, i considerant tràfic de tipus full-buffer. S'ha obtingut una gran millora de prestacions amb la multiplexació espacial d'usuaris i una discreta millora amb CoMP. El segon grup d'escenaris són els definits pel projecte europeu METIS per a l'avaluació de tecnologies 5G, concretament s'han triat un escenari d'interiors amb una oficina, i un d'exteriors amb un estadi esportiu, on s'ha utilitzat un tràfic realista. En aquests escenaris amb desplegaments menys uniformes, o amb un nombre limitat de transmissors provocant la major part de la interferència, és on aquesta Tesi ha trobat la utilitat més gran de / Martín-Sacristán Gandía, D. (2016). 3GPP Long Term Evolution: Performance Analysis and Evolution towards 4G with Coordinated Multi-Point Transmission [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/63261 / TESIS

Inter-Cell Interference (ICI) will be one of main problems for degrading the performance of future wireless networks at cell edge. This adverse situation will become worst in the presence of dense deployment of micro and macro cells. In this context, the Coordinated Multi-Point (CoMP) technique was introduced to mitigate ICI in Next Generation Wireless Networks (NGWN) and increase their network performance at cell edge. Even though the CoMP technique provides satisfactory solutions of various problems at cell edge, nevertheless existing CoMP handover schemes do not prevent unnecessary handover initialisation decisions and never discuss the drawbacks of CoMP handover technique such as excessive feedback and resource sharing among UEs. In this research, new CoMP-based handover schemes are proposed in order to minimise unnecessary handover decisions at cell edge and determine solution of drawbacks of CoMP technique in conjunction with signal measurements such as Reference Signal Received Power (RSRP) and Received Signal Received Quality (RSRQ). A combination of calculations of RSRP and RSRQ facilitate a credible decision making process of CoMP mode and handover mode at cell edge. Typical numerical experiments indicate that by triggering the CoMP mode along with solutions of drawbacks, the overall network performance is constantly increase as the number of unnecessary handovers is progressively reduced.

便利商店自1979年由統一企業引進台灣，經過三十餘年的發展，目前為一寡占市場，市占率由連鎖超商體系的統一超商(7-ELEVEN)、全家便利商店、萊爾富超商及來來(OK)便利商店占據了將近九成九的市占率，而台灣的便利商店有其特有的產業生態，即現今便利商店中較具規模的品牌，都與上游的品牌商具有相當緊密的連結。而這樣的產業現況，讓台灣食品品牌商與便利商店之間略有體系對抗的意味存在，若將品牌商與通路之間視為一個整體，假設通路商為品牌商的點，其競爭行為即為「多點競爭」。無論對上游的品牌商或是下游的通路商，這種形式的緊密連結使其競爭合作關係的可能性與複雜度也比在單一產業中競爭來的複雜且多元許多。 　　本研究將品牌商與通路商視為一體，觀察其：(1)上下游相互協助的狀況是否存在；(2)上下游規模是否影響其競爭策略的擬定；(3)相互容忍的現況是否存在，採用田野調查法收集資料後，透過內容分析法中質性研究的方式，並且以動態競爭的觀點，對台灣便利商店與品牌商之間的特殊結構做分析，並將資料利用不同的觀點解讀，試圖探究其兩者之間的競爭行為是否具有相互影響的現象，並配合現有的客觀資料，嘗試說明便利商店與品牌商之間的互動關係與成因，也嘗試用品牌與通路規模當作分析的變項，驗證其是否為影響便利商店與品牌商競爭行為間的因子。 　　而結果也與預期相似，(1)品牌商及通路商有相互協助的現象存在。(2)上下游的規模也確實影響其策略的制定，品牌規模越大，越容易作為協助促銷的對象；通路規模越大，也越容易作為推廣品牌的點。(3)多點競爭的相互容忍現象存在於此產業相當多的品類當中，尤其是寡占的品類市場。

<div>Optimal control theory (OCT) exists since the 1950s. However, with the advent of modern computers, the design community delegated the task of solving the optimal control problems (OCPs) largely to computationally intensive direct methods instead of methods that use OCT. Some recent work showed that solvers using OCT could leverage parallel computing resources for faster execution. The need for near real-time, high quality solutions for OCPs has therefore renewed interest in OCT in the design community. However, certain challenges still exist that prohibits its use for solving complex practical aerospace problems, such as landing human-class payloads safely on Mars.</div><div><br></div><div>In order to advance OCT, this thesis introduces Epsilon-Trig regularization method to simply and efficiently solve bang-bang and singular control problems. The Epsilon-Trig method resolves the issues pertaining to the traditional smoothing regularization method. Some benchmark problems from the literature including the Van Der Pol oscillator, the boat problem, and the Goddard rocket problem verified and validated the Epsilon-Trig regularization method using GPOPS-II.</div><div><br></div><div>This study also presents and develops the usage of trigonometry for incorporating control bounds and mixed state-control constraints into OCPs and terms it as Trigonometrization. Results from literature and GPOPS-II verified and validated the Trigonometrization technique using certain benchmark OCPs. Unlike traditional OCT, Trigonometrization converts the constrained OCP into a two-point boundary value problem rather than a multi-point boundary value problem, significantly reducing the computational effort required to formulate and solve it. This work uses Trigonometrization to solve some complex aerospace problems including prompt global strike, noise-minimization for general aviation, shuttle re-entry problem, and the g-load constraint problem for an impactor. Future work for this thesis includes the development of the Trigonometrization technique for OCPs with pure state constraints.</div>