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Model Applicable (model + applicable)
Selected AbstractsA Versatile Birth,Death Model Applicable to Four Distinct ProblemsAUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, Issue 1 2004J. Gani Summary This paper revisits a simple birth,death model which arises in slightly different forms in four distinct stochastic problems. These are the barbershop queue, coupon collecting, vocabulary usage and geological dating. Discrete and continuous time Markov chains are used to characterize these problems. Somewhat different questions are posed for each particular case, and practical results are derived for each process. The paper concludes with some comments on the versatility of this applied probability model. [source] Coupled HM analysis using zero-thickness interface elements with double nodes.INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, Issue 18 2008Part I: Theoretical model Abstract In recent years, the authors have proposed a new double-node zero-thickness interface element for diffusion analysis via the finite element method (FEM) (Int. J. Numer. Anal. Meth. Geomech. 2004; 28(9): 947,962). In the present paper, that formulation is combined with an existing mechanical formulation in order to obtain a fully coupled hydro-mechanical (or HM) model applicable to fractured/fracturing geomaterials. Each element (continuum or interface) is formulated in terms of the displacements (u) and the fluid pressure (p) at the nodes. After assembly, a particular expression of the traditional ,u,p' system of coupled equations is obtained, which is highly non-linear due to the strong dependence between the permeability and the aperture of discontinuities. The formulation is valid for both pre-existing and developing discontinuities by using the appropriate constitutive model that relates effective stresses to relative displacements in the interface. The system of coupled equations is solved following two different numerical approaches: staggered and fully coupled. In the latter, the Newton,Raphson method is used, and it is shown that the Jacobian matrix becomes non-symmetric due to the dependence of the discontinuity permeability on the aperture. In the part II companion paper (Int. J. Numer. Anal. Meth. Geomech. 2008; DOI: 10.1002/nag.730), the formulation proposed is verified and illustrated with some application examples. Copyright © 2008 John Wiley & Sons, Ltd. [source] Exact sampled-data analysis of quasi-resonant converters with finite filter inductance and capacitanceINTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, Issue 1 2002Chung-Chieh Fang Abstract Previous models of quasi-resonant converters generally use averaging and assume infinite filter inductance and capacitance to reduce circuit complexity, but at the expense of accuracy. In this paper, exact sampled-data modelling is used. A general block diagram model applicable to various topologies of quasi-resonant converters is proposed. Large-signal analysis, steady-state analysis and small-signal analysis are all studied. They agree closely with the experimental results in the literature. Compared with the averaging approach, the sampled-data approach is more systematic and accurate. Copyright © 2001 John Wiley & Sons, Ltd. [source] A Bayesian regression approach to terrain mapping and an application to legged robot locomotionJOURNAL OF FIELD ROBOTICS (FORMERLY JOURNAL OF ROBOTIC SYSTEMS), Issue 10 2009Christian Plagemann We deal with the problem of learning probabilistic models of terrain surfaces from sparse and noisy elevation measurements. The key idea is to formalize this as a regression problem and to derive a solution based on nonstationary Gaussian processes. We describe how to achieve a sparse approximation of the model, which makes the model applicable to real-world data sets. The main benefits of our model are that (1) it does not require a discretization of space, (2) it also provides the uncertainty for its predictions, and (3) it adapts its covariance function to the observed data, allowing more accurate inference of terrain elevation at points that have not been observed directly. As a second contribution, we describe how a legged robot equipped with a laser range finder can utilize the developed terrain model to plan and execute a path over rough terrain. We show how a motion planner can use the learned terrain model to plan a path to a goal location, using a terrain-specific cost model to accept or reject candidate footholds. To the best of our knowledge, this was the first legged robotics system to autonomously sense, plan, and traverse a terrain surface of the given complexity. © 2009 Wiley Periodicals, Inc. [source] Optimization of a gastrointestinal model applicable to the evaluation of bioaccessibility in fish feedsJOURNAL OF THE SCIENCE OF FOOD AND AGRICULTURE, Issue 7 2009Mariam Hamdan Abstract BACKGROUND: Although several types of in vitro digestibility assays have been applied to nutritional evaluation of feeds for aquatic organisms, all of them are based on the use of closed reactors and do not simulate the gastric phase of the digestion. Our objective was to evaluate the suitability of a gastrointestinal model based on the use of a digestion cell provided by a semi-permeable reaction chamber, which allows continuous removal of digestion products as they are produced. We tested the effects of some factors, like the inclusion of a gastric phase, reaction temperature or bile salts on the hydrolysis of feed proteins by fish enzymes. RESULTS: We found that the most suitable operational conditions to simulate the digestion process must include a short acid pre-digestion as well as the use of bile salts in the reaction mixture. Acid pre-digestion resulted in a significant increase in the liberation of amino acids which represented more than twice that measured when using a single phase. The addition of two bile salts (45 µmol L,1 sodium taurocholate + chenodesoxycolate) resulted in almost a threefold increase in the hydrolysis of feed protein. The use of the described open system also allows the evaluation of carbohydrate hydrolysis as well as determination of residual undigested matter, in a similar manner to that carried out in ruminants with the DAISY system. CONCLUSION: Results suggest the system can be a very suitable model for evaluation of bioaccessibility in fish feeds. Copyright © 2009 Society of Chemical Industry [source] | ||||||||||